Edit Profile (opens in new tab) Bordas, Stéphane Pierre Alain Compute Distance To: Compute Author ID: bordas.stephane-pierre-alain Published as: Bordas, Stéphane P. A.; Bordas, S. P. A.; Bordas, Stéphane; Bordas, Stéphane Pierre Alain; Bordas, S.; Bordas, S. P.-A.; Bordas, Stephane more...less External Links: MGP · ORCID Documents Indexed: 112 Publications since 2007 2 Contributions as Editor Co-Authors: 197 Co-Authors with 114 Joint Publications 4,620 Co-Co-Authors all top 5 Co-Authors 0 single-authored 22 Rabczuk, Timon 19 Kerfriden, Pierre 18 Natarajan, Sundararajan 15 Nguyen-Xuan, Hung 9 Lian, Haojie 7 Hale, Jack S. 6 Agathos, Konstantinos 6 Chatzi, Eleni 5 Atroshchenko, Elena 5 Chen, Leilei 5 Nguyen-Thanh, Nhon 5 Nguyen, Vinh Phu 4 Anitescu, Cosmin 4 Chouly, Franz 4 Duflot, Marc 4 González-Estrada, Octavio A. 4 Ródenas, Juan José 4 Simpson, Robert Napier 3 Beex, Lars A. A. 3 Ding, Chensen 3 Ding, Yanjun 3 Khajah, Tahsin 3 Liu, Gui-Rong 3 Liu, Zhaowei 3 Mahapatra, Deshabrata Roy 3 Tamma, Kumar K. 3 Tomar, Satyendra K. 3 Zi, Goangseup 2 Augarde, Charles Edward 2 Bansal, Manik 2 Barrera, Olga 2 Bui, Huu Phuoc 2 Bulle, Raphaël 2 Chen, Haibo 2 Chen, Lei 2 Cui, Xiangyang 2 Deokar, Rohit R. 2 Dsouza, Shaima M. 2 Dunant, Cyrille 2 Ferreira, António Joaquim Mendes 2 Goury, Olivier 2 Hauseux, Paul 2 Hoang, K. C. 2 Hu, Dean 2 Hu, Ping 2 Hu, Qingyuan 2 Lengiewicz, Jakub 2 Li, Guangyao 2 Li, Shengze 2 Lozinski, Alexei 2 Menk, Alexander 2 Nguyen-Dang, Hung 2 Ooi, Ean Tat 2 Singh, Indra Vir 2 Videla, Javier A. 2 Wan, Detao 2 Yu, Peng 2 Zhao, Wenchang 2 Zheng, Changjun 1 Akbari R., Ahmad 1 Alijani, Ali Akbar 1 Amiri, Fatemeh 1 Amsallem, David 1 Antoine, Xavier 1 Arroyo, Marino 1 Askes, Harm 1 Bagri, Akbar 1 Baroli, Davide 1 Béchet, Eric 1 Beer, Gernot 1 Belgasmia, Mourad 1 Belouettar, Salim 1 Berke, Peter Z. 1 Bharadwaj, Anand S. 1 Bonisoli, Elvio 1 Bourantas, George C. 1 Boussaa, Djaffar 1 Brino, Marco 1 Bucki, Marek 1 Burman, Erik 1 Carrera, Erasmo 1 Chen, Li 1 Cheng, Gengdong 1 Cheng, Ruhui 1 Chopp, David L. 1 Chowdhury, Habibullah Amin 1 Cinefra, Maria 1 Claus, Susanne 1 Cornaggia, Rémi 1 Cotin, Stephane 1 Dal Pont, Stefano 1 Debongnie, Jean-François 1 Deshpande, Saurabh A. 1 Dodwell, Tim J. 1 Dodwell, Timothy J. 1 Duddu, Ravindra 1 Duprez, Michel 1 Evans, John A. 1 Feng, Shizhe 1 Fuenmayor, Francisco Javier ...and 97 more Co-Authors all top 5 Serials 43 Computer Methods in Applied Mechanics and Engineering 18 International Journal for Numerical Methods in Engineering 14 Computational Mechanics 6 Engineering Analysis with Boundary Elements 4 Applied Mathematical Modelling 3 Computers & Mathematics with Applications 3 European Journal of Mechanics. A. Solids 2 Mathematics and Computers in Simulation 2 Communications in Numerical Methods in Engineering 2 CMES. Computer Modeling in Engineering & Sciences 1 Acta Mechanica 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design 1 Numerical Methods for Partial Differential Equations 1 Mathematical Problems in Engineering 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Computational Methods 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Lecture Notes in Computational Science and Engineering 1 Revue Européenne de Mécanique Numérique 1 Proceedings A. Royal Society of London all top 5 Fields 97 Mechanics of deformable solids (74-XX) 66 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 2,859 times in 1,530 Documents Cited by ▼ Year ▼ Meshless methods: a review and computer implementation aspects. Zbl 1152.74055Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc 293 2008 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 162 2013 A two-dimensional isogeometric boundary element method for elastostatic analysis. Zbl 1243.74193Simpson, Robert Napier; Bordas, Stéphane Pierre Alain; Trevelyan, Jon; Rabczuk, Timon 152 2012 A smoothed finite element method for plate analysis. Zbl 1159.74434Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F. 106 2008 Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. Zbl 1228.74091Nguyen-Thanh, N.; Nguyen-Xuan, H.; Bordas, S. P. A.; Rabczuk, T. 101 2011 A smoothed finite element method for shell analysis. Zbl 1194.74453Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 88 2008 Nitsche’s method for two and three dimensional NURBS patch coupling. Zbl 1398.74379Nguyen, Vinh Phu; Kerfriden, Pierre; Brino, Marco; Bordas, Stéphane P. A.; Bonisoli, Elvio 86 2014 A simple and robust three-dimensional cracking-particle method without enrichment. Zbl 1231.74493Rabczuk, Timon; Zi, Goangseup; Bordas, Stephane; Nguyen-Xuan, Hung 84 2010 A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Zbl 1161.74054Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup 74 2007 Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping. Zbl 1176.74190Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy 70 2009 An extended finite element library. Zbl 1194.74367Bordas, Stéphane; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung 69 2007 Smooth finite element methods: Convergence, accuracy and properties. Zbl 1159.74435Nguyen-Xuan, Hung; Bordas, Stéphane; Nguyen-Dang, Hung 69 2008 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 63 2012 A robust preconditioning technique for the extended finite element method. Zbl 1217.74128Menk, Alexander; Bordas, Stéphane P. A. 60 2011 A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1260.74029Nguyen-Xuan, H.; Rabczuk, T.; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S. 58 2010 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 55 2013 Derivative recovery and a posteriori error estimate for extended finite elements. Zbl 1173.74401Bordas, Stéphane; Duflot, Marc 54 2007 Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Zbl 1225.74092Kerfriden, P.; Gosselet, P.; Adhikari, S.; Bordas, S. P. A. 49 2011 A combined extended finite element and level set method for biofilm growth. Zbl 1195.74169Duddu, Ravindra; Bordas, Stéphane; Chopp, David; Moran, Brian 47 2008 Isogeometric analysis: an overview and computer implementation aspects. Zbl 07313396Nguyen, Vinh Phu; Anitescu, Cosmin; Bordas, Stéphane P. A.; Rabczuk, Timon 46 2015 Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. Zbl 1439.74370Peng, X.; Atroshchenko, E.; Kerfriden, P.; Bordas, S. P. A. 42 2017 Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces. Zbl 1225.65111Moumnassi, Mohammed; Belouettar, Salim; Béchet, Éric; Bordas, Stéphane P. A.; Quoirin, Didier; Potier-Ferry, Michel 42 2011 A posteriori error estimation for extended finite elements by an extended global recovery. Zbl 1195.74171Duflot, Marc; Bordas, Stéphane 40 2008 On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM). Zbl 1216.74019Bordas, Stéphane P. A.; Natarajan, Sundararajan; Kerfriden, Pierre; Augarde, Charles Edward; Mahapatra, D. Roy; Rabczuk, Timon; Dal Pont, Stefano 39 2011 Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework. Zbl 1193.74153Natarajan, Sundararajan; Mahapatra, D. Roy; Bordas, Stéphane P. A. 37 2010 A simple error estimator for extended finite elements. Zbl 1156.65093Bordas, Stéphane; Duflot, Marc; Le, Phong 36 2008 A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Zbl 1352.74285Kerfriden, P.; Goury, O.; Rabczuk, T.; Bordas, S. P. A. 36 2013 Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Zbl 1441.74290Chen, L. L.; Lian, H.; Liu, Z.; Chen, H. B.; Atroshchenko, E.; Bordas, S. P. A. 35 2019 Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A. 35 2016 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 34 2011 A cell-based smoothed finite element method for kinematic limit analysis. Zbl 1202.74177Le, Canh V.; Nguyen-Xuan, H.; Askes, H.; Bordas, Stéphane P. A.; Rabczuk, T.; Nguyen-Vinh, H. 33 2010 Virtual and smoothed finite elements: a connection and its application to polygonal/polyhedral finite element methods. Zbl 1352.65531Natarajan, Sundararajan; Bordas, Stéphane P. A.; Ooi, Ean Tat 33 2015 Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Zbl 1406.74453Thai, Chien H.; Ferreira, A. J. M.; Bordas, S. P. A.; Rabczuk, T.; Nguyen-Xuan, H. 32 2014 On the approximation in the smoothed finite element method (SFEM). Zbl 1183.74261Bordas, Stéphane P. A.; Natarajan, Sundararajan 29 2010 XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Zbl 1398.74449Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S. P. A.; Rabczuk, T. 28 2014 An alternative alpha finite element method (A\(\alpha \)FEM) for free and forced structural vibration using triangular meshes. Zbl 1423.74910Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 24 2010 Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Zbl 1439.74486Lian, H.; Kerfriden, P.; Bordas, S. P. A. 23 2017 Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Zbl 1439.74263Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A. 23 2020 Addressing volumetric locking and instabilities by selective integration in smoothed finite elements. Zbl 1169.74044Hung, Nguyen-Xuan; Bordas, Stéphane Pierre Alain; Hung, Nguyen-Dang 23 2009 Accurate fracture modelling using meshless methods, the visibility criterion and level sets: formulation and 2D modelling. Zbl 1235.74346Zhuang, Xiaoying; Augarde, Charles; Bordas, Stéphane 21 2011 Explicit finite deformation analysis of isogeometric membranes. Zbl 1423.74525Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges 20 2014 Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals. Zbl 1197.74182Menk, Alexander; Bordas, Stéphane P. A. 20 2010 A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Zbl 1439.74453Nguyen, Hoang X.; Nguyen, Tuan N.; Abdel-Wahab, M.; Bordas, S. P. A.; Nguyen-Xuan, H.; Vo, Thuc P. 20 2017 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 18 2018 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 18 2016 Local/global model order reduction strategy for the simulation of quasi-brittle fracture. Zbl 1242.74130Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. 18 2012 Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization. Zbl 1440.74351Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 15 2019 Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006 13 2017 Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. Zbl 1398.74332González-Estrada, O. A.; Nadal, E.; Ródenas, J. J.; Kerfriden, P.; Bordas, S. P. A.; Fuenmayor, F. J. 11 2014 Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact. Zbl 1440.74403Hu, Qingyuan; Chouly, Franz; Hu, Ping; Cheng, Gengdong; Bordas, Stéphane P. A. 11 2018 Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 10 2018 Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method. Zbl 1407.74060Natarajan, S.; Ferreira, A. J. M.; Bordas, S.; Carrera, E.; Cinefra, M.; Zenkour, A. M. 10 2014 Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. Zbl 1460.74065Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. 10 2018 A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities. Zbl 1398.74432Zhao, Xujun; Bordas, Stéphane P. A.; Qu, Jianmin 10 2013 A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. Zbl 1441.65088Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 10 2019 Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. Zbl 1352.74265Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. 10 2014 Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011Atroshchenko, Elena; Bordas, Stéphane P. A. 9 2015 \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. Zbl 1442.65409Videla, Javier; Anitescu, Cosmin; Khajah, Tahsin; Bordas, Stéphane P. A.; Atroshchenko, Elena 9 2019 Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre 9 2017 A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites. Zbl 1403.74129Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Long, Ting 8 2017 Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1231.74089Akbari R., Ahmad; Bagri, Akbar; Bordas, Stéphane P. A.; Rabczuk, Timon 8 2010 Adaptive isogeometric analysis for plate vibrations: an efficient approach of local refinement based on hierarchical a posteriori error estimation. Zbl 1440.74164Yu, Peng; Anitescu, Cosmin; Tomar, Satyendra; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 8 2018 An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. Zbl 1325.74143Hoang, K. C.; Kerfriden, P.; Khoo, B. C.; Bordas, S. P. A. 8 2015 Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. Zbl 1436.74064Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 7 2016 Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. Zbl 1441.74295Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 7 2019 Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Zbl 1441.74301Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 7 2020 Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain 7 2020 A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X. 6 2019 Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. Zbl 1439.74353Jin, Y.; González-Estrada, O. A.; Pierard, O.; Bordas, S. P. A. 6 2017 Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method. Zbl 1464.74368Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan; Zilian, Andreas; Hu, Ping; Bordas, Stéphane P. A. 6 2020 Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Zbl 1403.74067Atroshchenko, Elena; Hale, Jack S.; Videla, Javier A.; Potapenko, Stanislav; Bordas, Stéphane P. A. 5 2017 Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation. Zbl 1390.74173Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 5 2017 A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials. Zbl 1440.74373Bansal, Manik; Singh, I. V.; Mishra, B. K.; Bordas, S. P. A. 5 2019 Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Zbl 1308.74025González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Nguyen-Xuan, Hung; Bordas, Stéphane P. A. 5 2013 Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Zbl 1501.65112Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S. 5 2021 A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang 5 2017 Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004 5 2015 Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Zbl 1439.65006Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A. 4 2017 Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study. Zbl 1443.74259Duprez, Michel; Bordas, Stéphane Pierre Alain; Bucki, Marek; Bui, Huu Phuoc; Chouly, Franz; Lleras, Vanessa; Lobos, Claudio; Lozinski, Alexei; Rohan, Pierre-Yves; Tomar, Satyendra 4 2020 Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143Nguyen, Vinh Phu; Bordas, Stéphane 4 2015 A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Zbl 1425.74465Hoang, K. C.; Kerfriden, P.; Bordas, S. P. A. 3 2016 A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Zbl 07492692Krokos, Vasilis; Xuan, Viet Bui; Bordas, Stéphane P. A.; Young, Philippe; Kerfriden, Pierre 3 2022 Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Zbl 07496063Chen, L. L.; Lian, H.; Liu, Z.; Gong, Y.; Zheng, C. J.; Bordas, S. P. A. 3 2022 Architecture trade-offs of integrating a mesh generator to partition-of-unity enriched object-oriented finite element software. Zbl 1208.74146Dunant, Cyrille; Phu Nguyen Vinh; Belgasmia, Mourad; Bordas, Stéphane 3 2007 Treatment of multiple input uncertainties using the scaled boundary finite element method. Zbl 1481.65224Dsouza, Shaima M.; Varghese, Tittu M.; Ooi, Ean Tat; Natarajan, Sundararajan; Bordas, Stéphane P. A. 3 2021 A staggered cell-centered finite element method for compressible and nearly-incompressible linear elasticity on general meshes. Zbl 1455.74015Ong, Thanh Hai; Phuong Hoang, Thi Thao; Bordas, Stéphane P. A.; Nguyen-Xuan, H. 3 2015 Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin 3 2016 Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Zbl 1468.74078Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A. 3 2021 Enriched finite elements for branching cracks in deformable porous media. Zbl 1403.76181Sheng, Mao; Li, Gensheng; Shah, Subhash; Lamb, Anthony R.; Bordas, Stéphane P. A. 2 2015 An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D. Zbl 1403.76146Bourantas, G. C.; Loukopoulos, V. C.; Chowdhury, H. A.; Joldes, G. R.; Miller, K.; Bordas, S. P. A. 2 2017 Probabilistic deep learning for real-time large deformation simulations. Zbl 1507.65019Deshpande, Saurabh; Lengiewicz, Jakub; Bordas, Stéphane P. A. 2 2022 Three-dimensional nonlinear fracture mechanics by enriched meshfree methods without asymptotic enrichment. Zbl 1209.74068Bordas, Stéphane; Zi, Goangseup; Rabczuk, Timon 2 2007 A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. Zbl 1506.65179Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. 2 2021 Corotational cut finite element method for real-time surgical simulation: application to needle insertion simulation. Zbl 1440.74378Bui, Huu Phuoc; Tomar, Satyendra; Bordas, Stéphane P. A. 2 2019 A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems. Zbl 1507.74160Chen, Leilei; Cheng, Ruhui; Li, Shengze; Lian, Haojie; Zheng, Changjun; Bordas, Stéphane P. A. 2 2022 Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations. Zbl 1507.74524Yu, Peng; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 2 2022 Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Zbl 1507.74291Chen, L. L.; Lian, H.; Natarajan, S.; Zhao, W.; Chen, X. Y.; Bordas, S. P. A. 2 2022 A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM). Zbl 07336586Mathew, Tittu Varghese; Beex, Lars; Bordas, Stéphane P. A.; Natarajan, Sundararajan 2 2020 An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. Zbl 1452.76180Obeidat, Anas; Bordas, Stéphane P. A. 2 2019 Enriched residual free bubbles for semiconductor device simulation. Zbl 1312.78008Simpson, R. N.; Bordas, S. P. A.; Asenov, A.; Brown, A. R. 1 2012 Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. Zbl 07644026Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz 1 2023 A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Zbl 07492692Krokos, Vasilis; Xuan, Viet Bui; Bordas, Stéphane P. A.; Young, Philippe; Kerfriden, Pierre 3 2022 Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Zbl 07496063Chen, L. L.; Lian, H.; Liu, Z.; Gong, Y.; Zheng, C. J.; Bordas, S. P. A. 3 2022 Probabilistic deep learning for real-time large deformation simulations. Zbl 1507.65019Deshpande, Saurabh; Lengiewicz, Jakub; Bordas, Stéphane P. A. 2 2022 A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems. Zbl 1507.74160Chen, Leilei; Cheng, Ruhui; Li, Shengze; Lian, Haojie; Zheng, Changjun; Bordas, Stéphane P. A. 2 2022 Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations. Zbl 1507.74524Yu, Peng; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 2 2022 Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Zbl 1507.74291Chen, L. L.; Lian, H.; Natarajan, S.; Zhao, W.; Chen, X. Y.; Bordas, S. P. A. 2 2022 Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Zbl 1501.65112Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S. 5 2021 Treatment of multiple input uncertainties using the scaled boundary finite element method. Zbl 1481.65224Dsouza, Shaima M.; Varghese, Tittu M.; Ooi, Ean Tat; Natarajan, Sundararajan; Bordas, Stéphane P. A. 3 2021 Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Zbl 1468.74078Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A. 3 2021 A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. Zbl 1506.65179Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. 2 2021 Circumferential crack modeling of thin cylindrical shells in modal deformation. Zbl 1486.74119Alijani, Ali; Barrera, Olga; Bordas, Stéphane P. A. 1 2021 Error estimation for the polygonal finite element method for smooth and singular linear elasticity. Zbl 07351764González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Bordas, Stéphane P. A. 1 2021 Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Zbl 1439.74263Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A. 23 2020 Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Zbl 1441.74301Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 7 2020 Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain 7 2020 Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method. Zbl 1464.74368Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan; Zilian, Andreas; Hu, Ping; Bordas, Stéphane P. A. 6 2020 Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study. Zbl 1443.74259Duprez, Michel; Bordas, Stéphane Pierre Alain; Bucki, Marek; Bui, Huu Phuoc; Chouly, Franz; Lleras, Vanessa; Lobos, Claudio; Lozinski, Alexei; Rohan, Pierre-Yves; Tomar, Satyendra 4 2020 A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM). Zbl 07336586Mathew, Tittu Varghese; Beex, Lars; Bordas, Stéphane P. A.; Natarajan, Sundararajan 2 2020 Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability. Zbl 1442.74147Chen, Li; Beex, Lars A. A.; Berke, Peter Z.; Massart, Thierry J.; Bordas, Stéphane P. A. 1 2020 Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Zbl 1441.74290Chen, L. L.; Lian, H.; Liu, Z.; Chen, H. B.; Atroshchenko, E.; Bordas, S. P. A. 35 2019 Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization. Zbl 1440.74351Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 15 2019 A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. Zbl 1441.65088Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 10 2019 \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. Zbl 1442.65409Videla, Javier; Anitescu, Cosmin; Khajah, Tahsin; Bordas, Stéphane P. A.; Atroshchenko, Elena 9 2019 Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. Zbl 1441.74295Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 7 2019 A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X. 6 2019 A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials. Zbl 1440.74373Bansal, Manik; Singh, I. V.; Mishra, B. K.; Bordas, S. P. A. 5 2019 Corotational cut finite element method for real-time surgical simulation: application to needle insertion simulation. Zbl 1440.74378Bui, Huu Phuoc; Tomar, Satyendra; Bordas, Stéphane P. A. 2 2019 An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. Zbl 1452.76180Obeidat, Anas; Bordas, Stéphane P. A. 2 2019 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 18 2018 Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact. Zbl 1440.74403Hu, Qingyuan; Chouly, Franz; Hu, Ping; Cheng, Gengdong; Bordas, Stéphane P. A. 11 2018 Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 10 2018 Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. Zbl 1460.74065Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. 10 2018 Adaptive isogeometric analysis for plate vibrations: an efficient approach of local refinement based on hierarchical a posteriori error estimation. Zbl 1440.74164Yu, Peng; Anitescu, Cosmin; Tomar, Satyendra; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 8 2018 Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. Zbl 1439.74370Peng, X.; Atroshchenko, E.; Kerfriden, P.; Bordas, S. P. A. 42 2017 Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Zbl 1439.74486Lian, H.; Kerfriden, P.; Bordas, S. P. A. 23 2017 A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Zbl 1439.74453Nguyen, Hoang X.; Nguyen, Tuan N.; Abdel-Wahab, M.; Bordas, S. P. A.; Nguyen-Xuan, H.; Vo, Thuc P. 20 2017 Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006 13 2017 Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre 9 2017 A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites. Zbl 1403.74129Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Long, Ting 8 2017 Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. Zbl 1439.74353Jin, Y.; González-Estrada, O. A.; Pierard, O.; Bordas, S. P. A. 6 2017 Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Zbl 1403.74067Atroshchenko, Elena; Hale, Jack S.; Videla, Javier A.; Potapenko, Stanislav; Bordas, Stéphane P. A. 5 2017 Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation. Zbl 1390.74173Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 5 2017 A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang 5 2017 Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Zbl 1439.65006Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A. 4 2017 An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D. Zbl 1403.76146Bourantas, G. C.; Loukopoulos, V. C.; Chowdhury, H. A.; Joldes, G. R.; Miller, K.; Bordas, S. P. A. 2 2017 Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A. 35 2016 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 18 2016 Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. Zbl 1436.74064Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 7 2016 A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Zbl 1425.74465Hoang, K. C.; Kerfriden, P.; Bordas, S. P. A. 3 2016 Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin 3 2016 Isogeometric analysis: an overview and computer implementation aspects. Zbl 07313396Nguyen, Vinh Phu; Anitescu, Cosmin; Bordas, Stéphane P. A.; Rabczuk, Timon 46 2015 Virtual and smoothed finite elements: a connection and its application to polygonal/polyhedral finite element methods. Zbl 1352.65531Natarajan, Sundararajan; Bordas, Stéphane P. A.; Ooi, Ean Tat 33 2015 Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011Atroshchenko, Elena; Bordas, Stéphane P. A. 9 2015 An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. Zbl 1325.74143Hoang, K. C.; Kerfriden, P.; Khoo, B. C.; Bordas, S. P. A. 8 2015 Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004 5 2015 Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143Nguyen, Vinh Phu; Bordas, Stéphane 4 2015 A staggered cell-centered finite element method for compressible and nearly-incompressible linear elasticity on general meshes. Zbl 1455.74015Ong, Thanh Hai; Phuong Hoang, Thi Thao; Bordas, Stéphane P. A.; Nguyen-Xuan, H. 3 2015 Enriched finite elements for branching cracks in deformable porous media. Zbl 1403.76181Sheng, Mao; Li, Gensheng; Shah, Subhash; Lamb, Anthony R.; Bordas, Stéphane P. A. 2 2015 Nitsche’s method for two and three dimensional NURBS patch coupling. Zbl 1398.74379Nguyen, Vinh Phu; Kerfriden, Pierre; Brino, Marco; Bordas, Stéphane P. A.; Bonisoli, Elvio 86 2014 Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Zbl 1406.74453Thai, Chien H.; Ferreira, A. J. M.; Bordas, S. P. A.; Rabczuk, T.; Nguyen-Xuan, H. 32 2014 XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Zbl 1398.74449Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S. P. A.; Rabczuk, T. 28 2014 Explicit finite deformation analysis of isogeometric membranes. Zbl 1423.74525Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges 20 2014 Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. Zbl 1398.74332González-Estrada, O. A.; Nadal, E.; Ródenas, J. J.; Kerfriden, P.; Bordas, S. P. A.; Fuenmayor, F. J. 11 2014 Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method. Zbl 1407.74060Natarajan, S.; Ferreira, A. J. M.; Bordas, S.; Carrera, E.; Cinefra, M.; Zenkour, A. M. 10 2014 Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. Zbl 1352.74265Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. 10 2014 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 162 2013 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 55 2013 A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Zbl 1352.74285Kerfriden, P.; Goury, O.; Rabczuk, T.; Bordas, S. P. A. 36 2013 A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities. Zbl 1398.74432Zhao, Xujun; Bordas, Stéphane P. A.; Qu, Jianmin 10 2013 Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Zbl 1308.74025González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Nguyen-Xuan, Hung; Bordas, Stéphane P. A. 5 2013 A two-dimensional isogeometric boundary element method for elastostatic analysis. Zbl 1243.74193Simpson, Robert Napier; Bordas, Stéphane Pierre Alain; Trevelyan, Jon; Rabczuk, Timon 152 2012 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 63 2012 Local/global model order reduction strategy for the simulation of quasi-brittle fracture. Zbl 1242.74130Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. 18 2012 Enriched residual free bubbles for semiconductor device simulation. Zbl 1312.78008Simpson, R. N.; Bordas, S. P. A.; Asenov, A.; Brown, A. R. 1 2012 Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. Zbl 1228.74091Nguyen-Thanh, N.; Nguyen-Xuan, H.; Bordas, S. P. A.; Rabczuk, T. 101 2011 A robust preconditioning technique for the extended finite element method. Zbl 1217.74128Menk, Alexander; Bordas, Stéphane P. A. 60 2011 Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Zbl 1225.74092Kerfriden, P.; Gosselet, P.; Adhikari, S.; Bordas, S. P. A. 49 2011 Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces. Zbl 1225.65111Moumnassi, Mohammed; Belouettar, Salim; Béchet, Éric; Bordas, Stéphane P. A.; Quoirin, Didier; Potier-Ferry, Michel 42 2011 On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM). Zbl 1216.74019Bordas, Stéphane P. A.; Natarajan, Sundararajan; Kerfriden, Pierre; Augarde, Charles Edward; Mahapatra, D. Roy; Rabczuk, Timon; Dal Pont, Stefano 39 2011 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 34 2011 Accurate fracture modelling using meshless methods, the visibility criterion and level sets: formulation and 2D modelling. Zbl 1235.74346Zhuang, Xiaoying; Augarde, Charles; Bordas, Stéphane 21 2011 A simple and robust three-dimensional cracking-particle method without enrichment. Zbl 1231.74493Rabczuk, Timon; Zi, Goangseup; Bordas, Stephane; Nguyen-Xuan, Hung 84 2010 A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1260.74029Nguyen-Xuan, H.; Rabczuk, T.; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S. 58 2010 Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework. Zbl 1193.74153Natarajan, Sundararajan; Mahapatra, D. Roy; Bordas, Stéphane P. A. 37 2010 A cell-based smoothed finite element method for kinematic limit analysis. Zbl 1202.74177Le, Canh V.; Nguyen-Xuan, H.; Askes, H.; Bordas, Stéphane P. A.; Rabczuk, T.; Nguyen-Vinh, H. 33 2010 On the approximation in the smoothed finite element method (SFEM). Zbl 1183.74261Bordas, Stéphane P. A.; Natarajan, Sundararajan 29 2010 An alternative alpha finite element method (A\(\alpha \)FEM) for free and forced structural vibration using triangular meshes. Zbl 1423.74910Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 24 2010 Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals. Zbl 1197.74182Menk, Alexander; Bordas, Stéphane P. A. 20 2010 Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1231.74089Akbari R., Ahmad; Bagri, Akbar; Bordas, Stéphane P. A.; Rabczuk, Timon 8 2010 Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping. Zbl 1176.74190Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy 70 2009 Addressing volumetric locking and instabilities by selective integration in smoothed finite elements. Zbl 1169.74044Hung, Nguyen-Xuan; Bordas, Stéphane Pierre Alain; Hung, Nguyen-Dang 23 2009 Meshless methods: a review and computer implementation aspects. Zbl 1152.74055Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc 293 2008 A smoothed finite element method for plate analysis. Zbl 1159.74434Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F. 106 2008 A smoothed finite element method for shell analysis. Zbl 1194.74453Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 88 2008 Smooth finite element methods: Convergence, accuracy and properties. Zbl 1159.74435Nguyen-Xuan, Hung; Bordas, Stéphane; Nguyen-Dang, Hung 69 2008 A combined extended finite element and level set method for biofilm growth. Zbl 1195.74169Duddu, Ravindra; Bordas, Stéphane; Chopp, David; Moran, Brian 47 2008 A posteriori error estimation for extended finite elements by an extended global recovery. Zbl 1195.74171Duflot, Marc; Bordas, Stéphane 40 2008 A simple error estimator for extended finite elements. Zbl 1156.65093Bordas, Stéphane; Duflot, Marc; Le, Phong 36 2008 A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Zbl 1161.74054Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup 74 2007 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,633 Authors 82 Bordas, Stéphane Pierre Alain 74 Rabczuk, Timon 61 Nguyen-Xuan, Hung 59 Liu, Gui-Rong 39 Natarajan, Sundararajan 37 Nguyen-Thoi, Trung 31 Zhuang, Xiaoying 21 Hughes, Thomas J. R. 21 Kerfriden, Pierre 19 Anitescu, Cosmin 18 Bui, Tinh Quoc 18 Jüttler, Bert 18 Nguyen-Thanh, Nhon 17 Cui, Xiangyang 17 Song, Chongmin 17 Trevelyan, Jon 16 Thai, Chien Hoang 15 Phung-Van, P. 15 Zhang, Yongjie Jessica 14 Atroshchenko, Elena 14 Dong, Chunying 14 Scott, Michael A. 14 Zheng, Hong 13 Li, Xin 13 Lian, Haojie 13 Wang, Dongdong 12 Chen, Lei 12 Evans, John A. 12 Schillinger, Dominik 12 Zhou, Liming 11 Chen, Leilei 11 Ferreira, António Joaquim Mendes 11 Hu, Dean 11 Ooi, Ean Tat 11 Ródenas, Juan José 11 Wei, Xiaodong 11 Yang, Yongtao 10 Augarde, Charles Edward 10 Belinha, Jorge 10 Yu, Tiantang 9 Babuška, Ivo 9 Wang, Qiao 9 Wriggers, Peter 9 Zhou, Wei 8 Banerjee, Uday 8 Duarte, Carlos Armando 8 Li, Guangyao 8 Reali, Alessandro 8 Singh, Indra Vir 8 Wan, Detao 8 Yang, Gang 8 Zhang, Xiaohua 7 Belytschko, Ted Bohdan 7 Chang, Xiaolin 7 Chen, Falai 7 Chen, Wen 7 Dai, Rui 7 Deng, Jiansong 7 Fries, Thomas-Peter 7 Fuenmayor, Francisco Javier 7 Gong, Yanpeng 7 González-Estrada, Octavio A. 7 Hu, Ping 7 Le Van Canh 7 Liu, Lei 7 Liu, Wing Kam 7 Liu, Zhaowei 7 Sangalli, Giancarlo 7 Xu, Gang 7 Zhang, Chuanzeng 7 Zhang, Qinghui 7 Zhou, Kun 6 Beer, Gernot 6 Beirão da Veiga, Lourenço 6 Bletzinger, Kai-Uwe 6 Braikat, Bouazza 6 Buffa, Annalisa 6 Chai, Yingbin 6 de Lorenzis, Laura 6 Desmet, Wim 6 Gantner, Gregor 6 Giannelli, Carlotta 6 Gu, Yan 6 Han, Xu 6 Langer, Ulrich 6 Li, Wei 6 Liew, Kim Meow 6 Liu, Feng 6 Liu, Jun 6 Liu, Zhijun 6 Ma, Gang 6 Mohamed, M. 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