Edit Profile (opens in new tab) Bordas, Stéphane Pierre Alain Co-Author Distance Author ID: bordas.stephane-pierre-alain Published as: Bordas, Stéphane P. A.; Bordas, S. P. A.; Bordas, Stéphane; Bordas, Stéphane Pierre Alain; Bordas, Stephane P. A.; Bordas, S.; Bordas, S. P.-A.; Bordas, Stephane more...less External Links: MGP · ORCID Documents Indexed: 148 Publications since 2007, including 22 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 233 Co-Authors with 148 Joint Publications 4,714 Co-Co-Authors all top 5 Co-Authors 1 single-authored 28 Natarajan, Sundararajan 25 Kerfriden, Pierre 24 Rabczuk, Timon 16 Nguyen-Xuan, Hung 13 Lian, Haojie 10 Agathos, Konstantinos 9 Chatzi, Eleni 8 Hale, Jack S. 7 Chen, Leilei 7 Tomar, Satyendra K. 6 Atroshchenko, Elena 6 Chouly, Franz 6 Nguyen, Vinh Phu 6 Simpson, Robert Napier 5 Anitescu, Cosmin 5 Beex, Lars A. A. 5 Mahapatra, Deshabrata Roy 5 Nguyen-Thanh, Nhon 4 Bui, Huu Phuoc 4 Ding, Chensen 4 Duflot, Marc 4 González-Estrada, Octavio A. 4 Ródenas, Juan José 4 Yu, Peng 3 Chen, Lei 3 Ding, Yanjun 3 Jacquemin, Thibault 3 Khajah, Tahsin 3 Lengiewicz, Jakub 3 Liu, Gui-Rong 3 Liu, Zhaowei 3 Ooi, Ean Tat 3 Tamma, Kumar K. 3 Zi, Goangseup 2 Augarde, Charles Edward 2 Baiz, PM 2 Bansal, Manik 2 Barrera, Olga 2 Berke, Peter Z. 2 Bucki, Marek 2 Bulle, Raphaël 2 Chen, Haibo 2 Chen, Li 2 Cotin, Stephane 2 Cui, Xiangyang 2 Deokar, Rohit R. 2 Dsouza, Shaima M. 2 Dunant, Cyrille 2 Duprez, Michel 2 Ferreira, António Joaquim Mendes 2 Fuenmayor, Francisco Javier 2 Ganapathi, Mahadevan 2 Goury, Olivier 2 Hauseux, Paul 2 Hoang, Khac Chi 2 Hu, Dean 2 Hu, Ping 2 Hu, Qingyuan 2 Kulasegaram, Sivakumar 2 Li, Guangyao 2 Li, Shengze 2 Lozinski, Alexei 2 Massart, Thierry Jacques 2 Menk, Alexander 2 Nadal, Enrique 2 Nguyen-Dang, Hung 2 Peng, Xuan 2 Rohan, Pierre-Yves 2 Singh, Indra Vir 2 Suchde, Pratik 2 Thai, Chien Hoang 2 Trevelyan, Jon 2 Ventura, Giulio 2 Videla, Javier A. 2 Wan, Detao 2 Xu, Gang 2 Zhao, Wenchang 2 Zheng, Changjun 2 Zilian, Andreas 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 Becker, Roland 1 Beer, Gernot 1 Belarbi, Mohamed-Ouejdi 1 Belgasmia, Mourad 1 Belouettar, Salim 1 Bharadwaj, Anand S. 1 Bhattacharjee, Kalyan Shankar 1 Bonisoli, Elvio 1 Bourantas, George C. 1 Boussaa, Djaffar 1 Brino, Marco ...and 142 more Co-Authors all top 5 Serials 44 Computer Methods in Applied Mechanics and Engineering 25 International Journal for Numerical Methods in Engineering 14 Computational Mechanics 6 Engineering Analysis with Boundary Elements 4 Computers & Mathematics with Applications 4 Applied Mathematical Modelling 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 2 International Journal for Computational Methods in Engineering Science and Mechanics 1 Acta Mechanica 1 International Journal of Engineering Science 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 GAMM-Mitteilungen 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 International Journal of Structural Stability and Dynamics 1 Proceedings A. Royal Society of London all top 5 Fields 112 Mechanics of deformable solids (74-XX) 74 Numerical analysis (65-XX) 10 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Partial differential equations (35-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 3,973 times in 2,095 Documents Cited by ▼ Year ▼ Meshless methods: a review and computer implementation aspects. Zbl 1152.74055 Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc 348 2008 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 195 2013 Isogeometric analysis: an overview and computer implementation aspects. Zbl 1540.65492 Nguyen, Vinh Phu; Anitescu, Cosmin; Bordas, Stéphane P. A.; Rabczuk, Timon 187 2015 A two-dimensional isogeometric boundary element method for elastostatic analysis. Zbl 1243.74193 Simpson, Robert Napier; Bordas, Stéphane Pierre Alain; Trevelyan, Jon; Rabczuk, Timon 186 2012 Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. Zbl 1228.74091 Nguyen-Thanh, N.; Nguyen-Xuan, H.; Bordas, S. P. A.; Rabczuk, T. 121 2011 A smoothed finite element method for plate analysis. Zbl 1159.74434 Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F. 120 2008 Nitsche’s method for two and three dimensional NURBS patch coupling. Zbl 1398.74379 Nguyen, Vinh Phu; Kerfriden, Pierre; Brino, Marco; Bordas, Stéphane P. A.; Bonisoli, Elvio 114 2014 A simple and robust three-dimensional cracking-particle method without enrichment. Zbl 1231.74493 Rabczuk, Timon; Zi, Goangseup; Bordas, Stephane; Nguyen-Xuan, Hung 106 2010 A smoothed finite element method for shell analysis. Zbl 1194.74453 Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 95 2008 Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. Zbl 1439.74370 Peng, X.; Atroshchenko, E.; Kerfriden, P.; Bordas, S. P. A. 91 2017 Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping. Zbl 1176.74190 Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy 86 2009 A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Zbl 1161.74054 Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup 82 2007 A robust preconditioning technique for the extended finite element method. Zbl 1217.74128 Menk, Alexander; Bordas, Stéphane P. A. 81 2011 An extended finite element library. Zbl 1194.74367 Bordas, Stéphane; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung 78 2007 Smooth finite element methods: Convergence, accuracy and properties. Zbl 1159.74435 Nguyen-Xuan, Hung; Bordas, Stéphane; Nguyen-Dang, Hung 76 2008 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170 Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 71 2012 A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1260.74029 Nguyen-Xuan, H.; Rabczuk, T.; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S. 66 2010 Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Zbl 1225.74092 Kerfriden, P.; Gosselet, P.; Adhikari, S.; Bordas, S. P. A. 64 2011 Derivative recovery and a posteriori error estimate for extended finite elements. Zbl 1173.74401 Bordas, Stéphane; Duflot, Marc 61 2007 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126 Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 61 2013 On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM). Zbl 1216.74019 Bordas, Stéphane P. A.; Natarajan, Sundararajan; Kerfriden, Pierre; Augarde, Charles Edward; Mahapatra, D. Roy; Rabczuk, Timon; Dal Pont, Stefano 54 2011 A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Zbl 1352.74285 Kerfriden, P.; Goury, O.; Rabczuk, T.; Bordas, S. P. A. 54 2013 Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework. Zbl 1193.74153 Natarajan, Sundararajan; Mahapatra, D. Roy; Bordas, Stéphane P. A. 53 2010 A posteriori error estimation for extended finite elements by an extended global recovery. Zbl 1195.74171 Duflot, Marc; Bordas, Stéphane 50 2008 A combined extended finite element and level set method for biofilm growth. Zbl 1195.74169 Duddu, Ravindra; Bordas, Stéphane; Chopp, David; Moran, Brian 50 2008 Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces. Zbl 1225.65111 Moumnassi, Mohammed; Belouettar, Salim; Béchet, Éric; Bordas, Stéphane P. A.; Quoirin, Didier; Potier-Ferry, Michel 50 2011 Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to Geometry-Independent Field approximaTion (GIFT). Zbl 07878352 Atroshchenko, Elena; Tomar, Satyendra; Xu, Gang; Bordas, Stéphane P. A. 48 2018 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200 Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 46 2018 Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467 Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A. 46 2016 Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Zbl 1441.74290 Chen, L. L.; Lian, H.; Liu, Z.; Chen, H. B.; Atroshchenko, E.; Bordas, S. P. A. 45 2019 Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Zbl 1439.74486 Lian, H.; Kerfriden, P.; Bordas, S. P. A. 45 2017 A simple error estimator for extended finite elements. Zbl 1156.65093 Bordas, Stéphane; Duflot, Marc; Le, Phong 44 2008 Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Zbl 1406.74453 Thai, Chien H.; Ferreira, A. J. M.; Bordas, S. P. A.; Rabczuk, T.; Nguyen-Xuan, H. 40 2014 A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Zbl 1439.74453 Nguyen, Hoang X.; Nguyen, Tuan N.; Abdel-Wahab, M.; Bordas, S. P. A.; Nguyen-Xuan, H.; Vo, Thuc P. 40 2017 Virtual and smoothed finite elements: a connection and its application to polygonal/polyhedral finite element methods. Zbl 1352.65531 Natarajan, Sundararajan; Bordas, Stéphane P. A.; Ooi, Ean Tat 40 2015 On the approximation in the smoothed finite element method (SFEM). Zbl 1183.74261 Bordas, Stéphane P. A.; Natarajan, Sundararajan 37 2010 A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture. Zbl 07868634 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.; Talaslidis, Demosthenes 37 2016 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444 Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 37 2011 Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization. Zbl 1440.74351 Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 36 2019 A cell-based smoothed finite element method for kinematic limit analysis. Zbl 1202.74177 Le, Canh V.; Nguyen-Xuan, H.; Askes, H.; Bordas, Stéphane P. A.; Rabczuk, T.; Nguyen-Vinh, H. 35 2010 XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Zbl 1398.74449 Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S. P. A.; Rabczuk, T. 34 2014 Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Zbl 1439.74263 Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A. 33 2020 Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. Zbl 1436.74064 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 32 2016 Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006 29 2017 Explicit finite deformation analysis of isogeometric membranes. Zbl 1423.74525 Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges 28 2014 Local/global model order reduction strategy for the simulation of quasi-brittle fracture. Zbl 1242.74130 Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. 28 2012 An alternative alpha finite element method (A\(\alpha \)FEM) for free and forced structural vibration using triangular meshes. Zbl 1423.74910 Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A. 28 2010 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053 Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 27 2016 Accurate fracture modelling using meshless methods, the visibility criterion and level sets: formulation and 2D modelling. Zbl 1235.74346 Zhuang, Xiaoying; Augarde, Charles; Bordas, Stéphane 27 2011 \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. Zbl 1442.65409 Videla, Javier; Anitescu, Cosmin; Khajah, Tahsin; Bordas, Stéphane P. A.; Atroshchenko, Elena 26 2019 Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact. Zbl 1440.74403 Hu, Qingyuan; Chouly, Franz; Hu, Ping; Cheng, Gengdong; Bordas, Stéphane P. A. 26 2018 Addressing volumetric locking and instabilities by selective integration in smoothed finite elements. Zbl 1169.74044 Hung, Nguyen-Xuan; Bordas, Stéphane Pierre Alain; Hung, Nguyen-Dang 25 2009 Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals. Zbl 1197.74182 Menk, Alexander; Bordas, Stéphane P. A. 24 2010 Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. Zbl 1439.74353 Jin, Y.; González-Estrada, O. A.; Pierard, O.; Bordas, S. P. A. 23 2017 Stable 3D XFEM/vector level sets for non-Planar 3D crack propagation and comparison of enrichment schemes. Zbl 07867265 Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 21 2018 Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 18 2018 Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. Zbl 1398.74332 González-Estrada, O. A.; Nadal, E.; Ródenas, J. J.; Kerfriden, P.; Bordas, S. P. A.; Fuenmayor, F. J. 18 2014 A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. Zbl 1441.65088 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 18 2019 Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. Zbl 1352.74265 Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. 18 2014 Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method. Zbl 1407.74060 Natarajan, S.; Ferreira, A. J. M.; Bordas, S.; Carrera, E.; Cinefra, M.; Zenkour, A. M. 17 2014 Adaptive isogeometric analysis for plate vibrations: an efficient approach of local refinement based on hierarchical a posteriori error estimation. Zbl 1440.74164 Yu, Peng; Anitescu, Cosmin; Tomar, Satyendra; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 17 2018 Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Zbl 1439.65006 Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A. 15 2017 Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. Zbl 1460.74065 Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. 14 2018 Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Zbl 1507.74291 Chen, L. L.; Lian, H.; Natarajan, S.; Zhao, W.; Chen, X. Y.; Bordas, S. P. A. 12 2022 Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. Zbl 1441.74295 Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 12 2019 Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method. Zbl 1464.74368 Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan; Zilian, Andreas; Hu, Ping; Bordas, Stéphane P. A. 12 2020 Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004 12 2015 A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities. Zbl 1398.74432 Zhao, Xujun; Bordas, Stéphane P. A.; Qu, Jianmin 12 2013 A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites. Zbl 1403.74129 Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Long, Ting 11 2017 Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011 Atroshchenko, Elena; Bordas, Stéphane P. A. 11 2015 A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Zbl 1425.74465 Hoang, K. C.; Kerfriden, P.; Bordas, S. P. A. 10 2016 An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. Zbl 1325.74143 Hoang, K. C.; Kerfriden, P.; Khoo, B. C.; Bordas, S. P. A. 10 2015 Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011 Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre 10 2017 Linear smoothed extended finite element method. Zbl 07867188 Surendran, M.; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Palani, G. S. 9 2017 Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Zbl 1441.74301 Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 9 2020 A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265 Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang 9 2017 Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Zbl 1308.74025 González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Nguyen-Xuan, Hung; Bordas, Stéphane P. A. 9 2013 Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Zbl 1521.74209 Chen, L. L.; Lian, H.; Liu, Z.; Gong, Y.; Zheng, C. J.; Bordas, S. P. A. 9 2022 Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175 Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain 8 2020 Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study. Zbl 1443.74259 Duprez, Michel; Bordas, Stéphane Pierre Alain; Bucki, Marek; Bui, Huu Phuoc; Chouly, Franz; Lleras, Vanessa; Lobos, Claudio; Lozinski, Alexei; Rohan, Pierre-Yves; Tomar, Satyendra 8 2020 Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1231.74089 Akbari R., Ahmad; Bagri, Akbar; Bordas, Stéphane P. A.; Rabczuk, Timon 8 2010 A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Zbl 07492692 Krokos, Vasilis; Xuan, Viet Bui; Bordas, Stéphane P. A.; Young, Philippe; Kerfriden, Pierre 8 2022 A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems. Zbl 1507.74160 Chen, Leilei; Cheng, Ruhui; Li, Shengze; Lian, Haojie; Zheng, Changjun; Bordas, Stéphane P. A. 8 2022 Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Zbl 1403.74067 Atroshchenko, Elena; Hale, Jack S.; Videla, Javier A.; Potapenko, Stanislav; Bordas, Stéphane P. A. 7 2017 Architecture trade-offs of integrating a mesh generator to partition-of-unity enriched object-oriented finite element software. Zbl 1208.74146 Dunant, Cyrille; Phu Nguyen Vinh; Belgasmia, Mourad; Bordas, Stéphane 7 2007 Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Zbl 1501.65112 Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S. 7 2021 Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380 Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin 7 2016 A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials. Zbl 1440.74373 Bansal, Manik; Singh, I. V.; Mishra, B. K.; Bordas, S. P. A. 7 2019 A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191 Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X. 7 2019 Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation. Zbl 1390.74173 Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 6 2017 Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Zbl 1468.74078 Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A. 6 2021 Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending. Zbl 1525.74203 Beex, L. A. A.; Rokoš, O.; Zeman, J.; Bordas, S. P. A. 6 2015 Parametrized reduced order modeling for cracked solids. Zbl 07863230 Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 5 2020 NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources. Zbl 1521.74271 Zang, Quansheng; Bordas, Stéphane P. A.; Liu, Jun; Natarajan, Sundararajan 5 2023 An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D. Zbl 1403.76146 Bourantas, G. C.; Loukopoulos, V. C.; Chowdhury, H. A.; Joldes, G. R.; Miller, K.; Bordas, S. P. A. 4 2017 A staggered cell-centered finite element method for compressible and nearly-incompressible linear elasticity on general meshes. Zbl 1455.74015 Ong, Thanh Hai; Phuong Hoang, Thi Thao; Bordas, Stéphane P. A.; Nguyen-Xuan, H. 4 2015 Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143 Nguyen, Vinh Phu; Bordas, Stéphane 4 2015 A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. Zbl 1506.65179 Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. 4 2021 Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability. Zbl 1442.74147 Chen, Li; Beex, Lars A. A.; Berke, Peter Z.; Massart, Thierry J.; Bordas, Stéphane P. A. 4 2020 An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. Zbl 1452.76180 Obeidat, Anas; Bordas, Stéphane P. A. 4 2019 Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering. Zbl 1539.78010 Chen, Leilei; Wang, Zhongwang; Lian, Haojie; Ma, Yujing; Meng, Zhuxuan; Li, Pei; Ding, Chensen; Bordas, Stéphane P. A. 2 2024 NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources. Zbl 1521.74271 Zang, Quansheng; Bordas, Stéphane P. A.; Liu, Jun; Natarajan, Sundararajan 5 2023 An extended peridynamic model equipped with a new bond-breakage criterion for mixed-mode fracture in rock-like materials. Zbl 1539.74224 Wang, Wen; Zhu, Qi-Zhi; Ni, Tao; Vazic, Bozo; Newell, Pania; Bordas, Stéphane P. A. 3 2023 Advances in applied mechanics. Zbl 07707423 1 2023 Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. Zbl 1524.65767 Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz 1 2023 Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Zbl 1507.74291 Chen, L. L.; Lian, H.; Natarajan, S.; Zhao, W.; Chen, X. Y.; Bordas, S. P. A. 12 2022 Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Zbl 1521.74209 Chen, L. L.; Lian, H.; Liu, Z.; Gong, Y.; Zheng, C. J.; Bordas, S. P. A. 9 2022 A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Zbl 07492692 Krokos, Vasilis; Xuan, Viet Bui; Bordas, Stéphane P. A.; Young, Philippe; Kerfriden, Pierre 8 2022 A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems. Zbl 1507.74160 Chen, Leilei; Cheng, Ruhui; Li, Shengze; Lian, Haojie; Zheng, Changjun; Bordas, Stéphane P. A. 8 2022 Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations. Zbl 1507.74524 Yu, Peng; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 4 2022 Probabilistic deep learning for real-time large deformation simulations. Zbl 1507.65019 Deshpande, Saurabh; Lengiewicz, Jakub; Bordas, Stéphane P. A. 3 2022 A discrete droplet method for modelling thin film flows. Zbl 1505.76046 Bharadwaj, Anand S.; Kuhnert, Joerg; Bordas, Stéphane P. A.; Suchde, Pratik 2 2022 An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems. Zbl 1507.74438 Agathos, Konstantinos; Dodwell, Tim; Chatzi, Eleni; Bordas, Stéphane P. A. 2 2022 Effective thermo-viscoelastic behavior of short fiber reinforced thermo-rheologically simple polymers: an application to high temperature fiber reinforced additive manufacturing. Zbl 1498.74066 Suarez-Afanador, C. A.; Cornaggia, R.; Lahellec, N.; Maurel-Pantel, A.; Boussaa, D.; Moulinec, H.; 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 1501.65112 Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S. 7 2021 Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Zbl 1468.74078 Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A. 6 2021 A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. Zbl 1506.65179 Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. 4 2021 Treatment of multiple input uncertainties using the scaled boundary finite element method. Zbl 1481.65224 Dsouza, Shaima M.; Varghese, Tittu M.; Ooi, Ean Tat; Natarajan, Sundararajan; Bordas, Stéphane P. A. 3 2021 A refinement indicator for adaptive quasicontinuum approaches for structural lattices. Zbl 07863761 Chen, Li; Berke, Péter Z.; Massart, Thierry J.; Beex, Lars A. A.; Magliulo, Marco; Bordas, Stéphane P. A. 2 2021 A unified algorithm for the selection of collocation stencils for convex, concave, and singular problems. Zbl 07865399 Jacquemin, Thibault; Bordas, Stéphane P. A. 1 2021 Circumferential crack modeling of thin cylindrical shells in modal deformation. Zbl 1486.74119 Alijani, Ali; Barrera, Olga; Bordas, Stéphane P. A. 1 2021 Error estimation for the polygonal finite element method for smooth and singular linear elasticity. Zbl 1524.74418 González-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 1439.74263 Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A. 33 2020 Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method. Zbl 1464.74368 Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan; Zilian, Andreas; Hu, Ping; Bordas, Stéphane P. A. 12 2020 Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Zbl 1441.74301 Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 9 2020 Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175 Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain 8 2020 Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study. Zbl 1443.74259 Duprez, Michel; Bordas, Stéphane Pierre Alain; Bucki, Marek; Bui, Huu Phuoc; Chouly, Franz; Lleras, Vanessa; Lobos, Claudio; Lozinski, Alexei; Rohan, Pierre-Yves; Tomar, Satyendra 8 2020 Parametrized reduced order modeling for cracked solids. Zbl 07863230 Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 5 2020 Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability. Zbl 1442.74147 Chen, Li; Beex, Lars A. A.; Berke, Peter Z.; Massart, Thierry J.; Bordas, Stéphane P. A. 4 2020 A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM). Zbl 07336586 Mathew, Tittu Varghese; Beex, Lars; Bordas, Stéphane P. A.; Natarajan, Sundararajan 2 2020 Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Zbl 1441.74290 Chen, L. L.; Lian, H.; Liu, Z.; Chen, H. B.; Atroshchenko, E.; Bordas, S. P. A. 45 2019 Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization. Zbl 1440.74351 Agathos, Konstantinos; Bordas, Stéphane P. A.; Chatzi, Eleni 36 2019 \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. Zbl 1442.65409 Videla, Javier; Anitescu, Cosmin; Khajah, Tahsin; Bordas, Stéphane P. A.; Atroshchenko, Elena 26 2019 A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. Zbl 1441.65088 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 18 2019 Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. Zbl 1441.74295 Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. 12 2019 A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials. Zbl 1440.74373 Bansal, Manik; Singh, I. V.; Mishra, B. K.; Bordas, S. P. A. 7 2019 A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191 Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X. 7 2019 An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. Zbl 1452.76180 Obeidat, Anas; Bordas, Stéphane P. A. 4 2019 Corotational cut finite element method for real-time surgical simulation: application to needle insertion simulation. Zbl 1440.74378 Bui, Huu Phuoc; Tomar, Satyendra; Bordas, Stéphane P. A. 3 2019 A simple and robust computational homogenization approach for heterogeneous particulate composites. Zbl 1441.74188 Bansal, Manik; Singh, I. V.; Patil, R. U.; Claus, Susanne; Bordas, S. P. A. 3 2019 Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to Geometry-Independent Field approximaTion (GIFT). Zbl 07878352 Atroshchenko, Elena; Tomar, Satyendra; Xu, Gang; Bordas, Stéphane P. A. 48 2018 Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200 Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. 46 2018 Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact. Zbl 1440.74403 Hu, Qingyuan; Chouly, Franz; Hu, Ping; Cheng, Gengdong; Bordas, Stéphane P. A. 26 2018 Stable 3D XFEM/vector level sets for non-Planar 3D crack propagation and comparison of enrichment schemes. Zbl 07867265 Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 21 2018 Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 18 2018 Adaptive isogeometric analysis for plate vibrations: an efficient approach of local refinement based on hierarchical a posteriori error estimation. Zbl 1440.74164 Yu, Peng; Anitescu, Cosmin; Tomar, Satyendra; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre 17 2018 Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. Zbl 1460.74065 Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. 14 2018 Optimal numerical integration schemes for a family of polygonal finite elements with Schwarz-Christoffel conformal mapping. Zbl 07879531 Chakraborty, S.; Natarajan, S.; Singh, S.; Roy Mahapatra, D.; Bordas, S. P. A. 2 2018 A volume-averaged nodal projection method for the Reissner-Mindlin plate model. Zbl 1440.74433 Ortiz-Bernardin, A.; Köbrich, P.; Hale, J. S.; Olate-Sanzana, E.; Bordas, S. P. A.; Natarajan, S. 2 2018 Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. Zbl 1439.74370 Peng, X.; Atroshchenko, E.; Kerfriden, P.; Bordas, S. P. A. 91 2017 Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Zbl 1439.74486 Lian, H.; Kerfriden, P.; Bordas, S. P. A. 45 2017 A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Zbl 1439.74453 Nguyen, Hoang X.; Nguyen, Tuan N.; Abdel-Wahab, M.; Bordas, S. P. A.; Nguyen-Xuan, H.; Vo, Thuc P. 40 2017 Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006 29 2017 Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. Zbl 1439.74353 Jin, Y.; González-Estrada, O. A.; Pierard, O.; Bordas, S. P. A. 23 2017 Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Zbl 1439.65006 Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A. 15 2017 A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites. Zbl 1403.74129 Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Long, Ting 11 2017 Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011 Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre 10 2017 Linear smoothed extended finite element method. Zbl 07867188 Surendran, M.; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Palani, G. S. 9 2017 A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265 Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang 9 2017 Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Zbl 1403.74067 Atroshchenko, Elena; Hale, Jack S.; Videla, Javier A.; Potapenko, Stanislav; Bordas, Stéphane P. A. 7 2017 Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation. Zbl 1390.74173 Agathos, Konstantinos; Ventura, Giulio; Chatzi, Eleni; Bordas, Stéphane P. A. 6 2017 An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D. Zbl 1403.76146 Bourantas, G. C.; Loukopoulos, V. C.; Chowdhury, H. A.; Joldes, G. R.; Miller, K.; Bordas, S. P. A. 4 2017 Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467 Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A. 46 2016 A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture. Zbl 07868634 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.; Talaslidis, Demosthenes 37 2016 Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. Zbl 1436.74064 Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. 32 2016 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053 Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 27 2016 A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Zbl 1425.74465 Hoang, K. C.; Kerfriden, P.; Bordas, S. P. A. 10 2016 Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380 Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin 7 2016 Isogeometric analysis: an overview and computer implementation aspects. Zbl 1540.65492 Nguyen, Vinh Phu; Anitescu, Cosmin; Bordas, Stéphane P. A.; Rabczuk, Timon 187 2015 Virtual and smoothed finite elements: a connection and its application to polygonal/polyhedral finite element methods. Zbl 1352.65531 Natarajan, Sundararajan; Bordas, Stéphane P. A.; Ooi, Ean Tat 40 2015 Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004 12 2015 Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011 Atroshchenko, Elena; Bordas, Stéphane P. A. 11 2015 An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. Zbl 1325.74143 Hoang, K. C.; Kerfriden, P.; Khoo, B. C.; Bordas, S. P. A. 10 2015 Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending. Zbl 1525.74203 Beex, L. A. A.; Rokoš, O.; Zeman, J.; Bordas, S. P. A. 6 2015 A staggered cell-centered finite element method for compressible and nearly-incompressible linear elasticity on general meshes. Zbl 1455.74015 Ong, Thanh Hai; Phuong Hoang, Thi Thao; Bordas, Stéphane P. A.; Nguyen-Xuan, H. 4 2015 Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143 Nguyen, Vinh Phu; Bordas, Stéphane 4 2015 Enriched finite elements for branching cracks in deformable porous media. Zbl 1403.76181 Sheng, Mao; Li, Gensheng; Shah, Subhash; Lamb, Anthony R.; Bordas, Stéphane P. A. 3 2015 Nitsche’s method for two and three dimensional NURBS patch coupling. Zbl 1398.74379 Nguyen, Vinh Phu; Kerfriden, Pierre; Brino, Marco; Bordas, Stéphane P. A.; Bonisoli, Elvio 114 2014 Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Zbl 1406.74453 Thai, Chien H.; Ferreira, A. J. M.; Bordas, S. P. A.; Rabczuk, T.; Nguyen-Xuan, H. 40 2014 XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Zbl 1398.74449 Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S. P. A.; Rabczuk, T. 34 2014 Explicit finite deformation analysis of isogeometric membranes. Zbl 1423.74525 Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges 28 2014 Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. Zbl 1398.74332 González-Estrada, O. A.; Nadal, E.; Ródenas, J. J.; Kerfriden, P.; Bordas, S. P. A.; Fuenmayor, F. J. 18 2014 Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. Zbl 1352.74265 Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. 18 2014 Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method. Zbl 1407.74060 Natarajan, S.; Ferreira, A. J. M.; Bordas, S.; Carrera, E.; Cinefra, M.; Zenkour, A. M. 17 2014 Numerical analysis of the inclusion-crack interaction by the extended finite element method. Zbl 07871370 Natarajan, S.; Kerfriden, P.; Mahapatra, D. Roy; Bordas, S. P. A. 2 2014 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 195 2013 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126 Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 61 2013 A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Zbl 1352.74285 Kerfriden, P.; Goury, O.; Rabczuk, T.; Bordas, S. P. A. 54 2013 A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities. Zbl 1398.74432 Zhao, Xujun; Bordas, Stéphane P. A.; Qu, Jianmin 12 2013 Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Zbl 1308.74025 González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Nguyen-Xuan, Hung; Bordas, Stéphane P. A. 9 2013 A two-dimensional isogeometric boundary element method for elastostatic analysis. Zbl 1243.74193 Simpson, Robert Napier; Bordas, Stéphane Pierre Alain; Trevelyan, Jon; Rabczuk, Timon 186 2012 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170 Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 71 2012 Local/global model order reduction strategy for the simulation of quasi-brittle fracture. Zbl 1242.74130 Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. 28 2012 Enriched residual free bubbles for semiconductor device simulation. Zbl 1312.78008 Simpson, 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 1228.74091 Nguyen-Thanh, N.; Nguyen-Xuan, H.; Bordas, S. P. A.; Rabczuk, T. 121 2011 A robust preconditioning technique for the extended finite element method. Zbl 1217.74128 Menk, Alexander; Bordas, Stéphane P. A. 81 2011 Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Zbl 1225.74092 Kerfriden, P.; Gosselet, P.; Adhikari, S.; Bordas, S. P. A. 64 2011 On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM). Zbl 1216.74019 Bordas, Stéphane P. A.; Natarajan, Sundararajan; Kerfriden, Pierre; Augarde, Charles Edward; Mahapatra, D. Roy; Rabczuk, Timon; Dal Pont, Stefano 54 2011 Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces. Zbl 1225.65111 Moumnassi, Mohammed; Belouettar, Salim; Béchet, Éric; Bordas, Stéphane P. A.; Quoirin, Didier; Potier-Ferry, Michel 50 2011 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444 Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 37 2011 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,559 Authors 97 Bordas, Stéphane Pierre Alain 92 Rabczuk, Timon 66 Nguyen-Xuan, Hung 64 Liu, Gui-Rong 58 Natarajan, Sundararajan 41 Nguyen-Thoi, Trung 37 Zhuang, Xiaoying 33 Dong, Chunying 24 Kerfriden, Pierre 23 Hughes, Thomas J. 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