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Bordas, Stéphane Pierre Alain

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Author ID: bordas.stephane-pierre-alain Recent zbMATH articles by "Bordas, Stéphane 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
External Links: MGP · ORCID
Documents Indexed: 94 Publications since 2007, including 2 Books
all top 5

Co-Authors

0 single-authored
22 Rabczuk, Timon
17 Kerfriden, Pierre
15 Nguyen-Xuan, Hung
12 Natarajan, Sundararajan
6 Lian, Haojie
5 Agathos, Konstantinos
5 Atroshchenko, Elena
5 Chatzi, Eleni
5 Nguyen-Thanh, Nhon
5 Nguyen, Vinh Phu
4 Anitescu, Cosmin
4 Duflot, Marc
4 González-Estrada, Octavio A.
4 Hale, Jack S.
4 Ródenas, Juan José
4 Simpson, Robert Napier
3 Ding, Chensen
3 Ding, Yanjun
3 Liu, Gui-Rong
3 Mahapatra, Deshabrata Roy
3 Tamma, Kumar K.
3 Tomar, Satyendra K.
3 Zi, Goangseup
2 Augarde, Charles Edward
2 Bansal, Manik
2 Bui, Huu Phuoc
2 Chen, Haibo
2 Chen, Lei
2 Chen, Leilei
2 Chouly, Franz
2 Cui, Xiangyang
2 Deokar, Rohit R.
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 Khajah, Tahsin
2 Li, Guangyao
2 Liu, Zhaowei
2 Menk, Alexander
2 Nguyen-Dang, Hung
2 Singh, Indra Vir
2 Videla, Javier A.
2 Wan, Detao
1 Akbari R., Ahmad
1 Amiri, Fatemeh
1 Amsallem, David
1 Arroyo, Marino
1 Askes, Harm
1 Bagri, Akbar
1 Béchet, Eric
1 Beer, Gernot
1 Beex, Lars A. A.
1 Belgasmia, Mourad
1 Belouettar, Salim
1 Berke, Peter Z.
1 Bonisoli, Elvio
1 Bourantas, George C.
1 Brino, Marco
1 Brown, A. Ray
1 Bucki, Marek
1 Burman, Erik
1 Carrera, Erasmo
1 Cheng, Gengdong
1 Chopp, David L.
1 Chowdhury, Habibullah Amin
1 Cinefra, Maria
1 Claus, Susanne
1 Cotin, Stephane
1 Dal Pont, Stefano
1 Debongnie, Jean-François
1 Dodwell, Timothy J.
1 Duddu, Ravindra
1 Duprez, Michel
1 Evans, John A.
1 Fuenmayor, Francisco Javier
1 Gosselet, Pierre
1 Guidoum, Amor
1 Heidarpour, Amin
1 Hoang, Thi-Thao-Phuong
1 Hoppe, Ronald H. W.
1 Hughes, Thomas J. R.
1 Hung, Nguyen Dang
1 Hung, Nguyen Xuan
1 Jin, Yuan
1 Joldes, Grand Roman
1 Khoo, Boo Cheong
1 Köbrich, P.
1 Lamb, Anthony R.
1 Larson, Mats G.
1 Le, Phong B. H.
1 Le Van Canh
1 Li, Gensheng
1 Li, Shengze
1 Limbert, Georges
1 Lipton, S.
...and 59 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 2,202 times in 1,151 Documents Cited by Year
Meshless methods: a review and computer implementation aspects. Zbl 1152.74055
Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc
249
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.
144
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
122
2012
A smoothed finite element method for plate analysis. Zbl 1159.74434
Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F.
103
2008
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.
94
2011
A smoothed finite element method for shell analysis. Zbl 1194.74453
Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A.
85
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
73
2014
Smooth finite element methods: Convergence, accuracy and properties. Zbl 1159.74435
Nguyen-Xuan, Hung; Bordas, Stéphane; Nguyen-Dang, Hung
63
2008
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
63
2007
An extended finite element library. Zbl 1194.74367
Bordas, Stéphane; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung
61
2007
Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping. Zbl 1176.74190
Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy
61
2009
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.
60
2012
A simple and robust three-dimensional cracking-particle method without enrichment. Zbl 1231.74493
Rabczuk, Timon; Zi, Goangseup; Bordas, Stephane; Nguyen-Xuan, Hung
57
2010
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.
51
2010
A robust preconditioning technique for the extended finite element method. Zbl 1217.74128
Menk, Alexander; Bordas, Stéphane P. A.
47
2011
A combined extended finite element and level set method for biofilm growth. Zbl 1195.74169
Duddu, Ravindra; Bordas, Stéphane; Chopp, David; Moran, Brian
46
2008
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.
46
2013
Derivative recovery and a posteriori error estimate for extended finite elements. Zbl 1173.74401
Bordas, Stéphane; Duflot, Marc
46
2007
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.
40
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
38
2011
A posteriori error estimation for extended finite elements by an extended global recovery. Zbl 1195.74171
Duflot, Marc; Bordas, Stéphane
37
2008
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
37
2011
A simple error estimator for extended finite elements. Zbl 1156.65093
Bordas, Stéphane; Duflot, Marc; Le, Phong
35
2008
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.
31
2011
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.
31
2010
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.
29
2010
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.
27
2014
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.
26
2016
On the approximation in the smoothed finite element method (SFEM). Zbl 1183.74261
Bordas, Stéphane P. A.; Natarajan, Sundararajan
25
2010
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.
25
2013
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.
24
2010
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
21
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.
19
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.
18
2014
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.
18
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
18
2014
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
17
2011
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.
15
2012
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
14
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.
11
2019
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.
10
2014
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
9
2013
Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Zbl 1439.74486
Lian, H.; Kerfriden, P.; Bordas, S. P. A.
9
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
Bordas, Stéphane P. A. (ed.); Burman, Erik (ed.); Larson, Mats G. (ed.); Olshanskii, Maxim A. (ed.)
9
2017
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.
9
2014
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.
8
2018
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.
8
2014
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
7
2010
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.
7
2018
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
7
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
6
2017
Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004
Beer, Gernot (ed.); Bordas, Stéphane (ed.)
5
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.
5
2015
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
5
2017
Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.
5
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
4
2018
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
4
2019
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.
4
2013
Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011
Atroshchenko, Elena; Bordas, Stéphane P. A.
4
2015
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.
4
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
3
2007
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.
3
2015
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.
3
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.
3
2017
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.
3
2020
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. Zbl 1441.65088
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.
3
2019
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.
3
2020
Three-dimensional nonlinear fracture mechanics by enriched meshfree methods without asymptotic enrichment. Zbl 1209.74068
Bordas, Stéphane; Zi, Goangseup; Rabczuk, Timon
2
2007
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.
2
2016
Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Zbl 1439.65006
Hauseux, Paul; Hale, Jack S.; Bordas, Stéphane P. A.
2
2017
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.
2
2019
Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380
Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin
2
2016
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.
2
2017
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.
2
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.
2
2016
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.
2
2019
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
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.
1
2018
Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143
Nguyen, Vinh Phu; Bordas, Stéphane
1
2015
\(h\)- 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
1
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.
1
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.
1
2019
Mechanical failure in microstructural heterogeneous materials. Zbl 1137.74418
Bordas, Stéphane; Hoppe, Ronald H. W.; Petrova, Svetozara I.
1
2007
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.
3
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.
3
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.
11
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
4
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.
3
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.
2
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.
2
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
1
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.
1
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.
1
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.
8
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.
7
2018
Multiple crack detection in 3D using a stable XFEM and global optimization. Zbl 1459.74170
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.
5
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
4
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.
1
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.
18
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.
9
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
Bordas, Stéphane P. A.; Burman, Erik; Larson, Mats G.; Olshanskii, Maxim A.
9
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
7
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
6
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
5
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.
4
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.
3
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.
3
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.
2
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.
2
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.
26
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
14
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.
2
2016
Modelling interfacial cracking with non-matching cohesive interface elements. Zbl 1398.74380
Nguyen, Vinh Phu; Nguyen, Chi Thanh; Bordas, Stéphane; Heidarpour, Amin
2
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.
2
2016
Isogeometric methods for numerical simulation. Papers based on the presentations at the course. Zbl 1317.74004
Beer, Gernot; Bordas, Stéphane
5
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.
5
2015
Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Zbl 1371.74011
Atroshchenko, Elena; Bordas, Stéphane P. A.
4
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.
3
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.
2
2015
Extended isogeometric analysis for strong and weak discontinuities. Zbl 1327.74143
Nguyen, Vinh Phu; Bordas, Stéphane
1
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
73
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.
27
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.
18
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
18
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.
10
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.
9
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.
8
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.
144
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.
46
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.
25
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
9
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.
4
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
122
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.
60
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.
15
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.
94
2011
A robust preconditioning technique for the extended finite element method. Zbl 1217.74128
Menk, Alexander; Bordas, Stéphane P. A.
47
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.
40
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
38
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
37
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.
31
2011
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
17
2011
A simple and robust three-dimensional cracking-particle method without enrichment. Zbl 1231.74493
Rabczuk, Timon; Zi, Goangseup; Bordas, Stephane; Nguyen-Xuan, Hung
57
2010
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.
51
2010
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.
31
2010
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.
29
2010
On the approximation in the smoothed finite element method (SFEM). Zbl 1183.74261
Bordas, Stéphane P. A.; Natarajan, Sundararajan
25
2010
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.
24
2010
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.
19
2010
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
7
2010
Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping. Zbl 1176.74190
Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy
61
2009
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
21
2009
Meshless methods: a review and computer implementation aspects. Zbl 1152.74055
Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc
249
2008
A smoothed finite element method for plate analysis. Zbl 1159.74434
Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F.
103
2008
A smoothed finite element method for shell analysis. Zbl 1194.74453
Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P. A.
85
2008
Smooth finite element methods: Convergence, accuracy and properties. Zbl 1159.74435
Nguyen-Xuan, Hung; Bordas, Stéphane; Nguyen-Dang, Hung
63
2008
A combined extended finite element and level set method for biofilm growth. Zbl 1195.74169
Duddu, Ravindra; Bordas, Stéphane; Chopp, David; Moran, Brian
46
2008
A posteriori error estimation for extended finite elements by an extended global recovery. Zbl 1195.74171
Duflot, Marc; Bordas, Stéphane
37
2008
A simple error estimator for extended finite elements. Zbl 1156.65093
Bordas, Stéphane; Duflot, Marc; Le, Phong
35
2008
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
63
2007
An extended finite element library. Zbl 1194.74367
Bordas, Stéphane; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung
61
2007
Derivative recovery and a posteriori error estimate for extended finite elements. Zbl 1173.74401
Bordas, Stéphane; Duflot, Marc
46
2007
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
3
2007
Three-dimensional nonlinear fracture mechanics by enriched meshfree methods without asymptotic enrichment. Zbl 1209.74068
Bordas, Stéphane; Zi, Goangseup; Rabczuk, Timon
2
2007
Mechanical failure in microstructural heterogeneous materials. Zbl 1137.74418
Bordas, Stéphane; Hoppe, Ronald H. W.; Petrova, Svetozara I.
1
2007
all top 5

Cited by 1,860 Authors

65 Bordas, Stéphane Pierre Alain
63 Rabczuk, Timon
59 Nguyen-Xuan, Hung
55 Liu, Gui-Rong
36 Nguyen-Thoi, Trung
28 Natarajan, Sundararajan
24 Zhuang, Xiaoying
18 Hughes, Thomas J. R.
16 Kerfriden, Pierre
16 Nguyen-Thanh, Nhon
16 Thai, Chien Hoang
15 Jüttler, Bert
15 Phung-Van, P.
14 Bui, Tinh Quoc
14 Song, Chongmin
13 Cui, Xiangyang
13 Scott, Michael A.
12 Anitescu, Cosmin
12 Chen, Lei
12 Zheng, Hong
11 Evans, John A.
11 Ferreira, António Joaquim Mendes
11 Hu, Dean
11 Ródenas, Juan José
11 Schillinger, Dominik
11 Trevelyan, Jon
11 Wang, Dongdong
10 Augarde, Charles Edward
10 Li, Xin
10 Yang, Yongtao
9 Atroshchenko, Elena
9 Ooi, Ean Tat
9 Yu, Tiantang
8 Belinha, Jorge
8 Li, Guangyao
8 Reali, Alessandro
8 Wriggers, Peter
8 Yang, Gang
8 Zhang, Yongjie Jessica
8 Zhou, Liming
7 Babuška, Ivo
7 Belytschko, Ted Bohdan
7 Buffa, Annalisa
7 Deng, Jiansong
7 Dong, Chunying
7 Fries, Thomas-Peter
7 Fuenmayor, Francisco Javier
7 González-Estrada, Octavio A.
7 Le Van Canh
7 Liu, Wing Kam
7 Sangalli, Giancarlo
7 Singh, Indra Vir
7 Wei, Xiaodong
6 Banerjee, Uday
6 Beirão da Veiga, Lourenço
6 Chen, Wen
6 de Lorenzis, Laura
6 Desmet, Wim
6 Han, Xu
6 Lian, Haojie
6 Rank, Ernst
6 Simpson, Robert Napier
6 Wan, Detao
6 Wang, Qiao
6 Xu, Gang
6 Zhang, Chuanzeng
6 Zhang, Xiaohua
6 Zhou, Wei
5 Askes, Harm
5 Barros, Felício Bruzzi
5 Bazilevs, Yuri
5 Beer, Gernot
5 Bletzinger, Kai-Uwe
5 Bouclier, Robin
5 Chang, Xiaolin
5 Chau-Dinh, Thanh
5 Chen, Falai
5 Chen, Leilei
5 Cheng, Yonggang
5 Chopp, David L.
5 Coox, Laurens
5 Dehghan Takht Fooladi, Mehdi
5 Dolbow, John E.
5 Düster, Alexander
5 Giannelli, Carlotta
5 Kapl, Mario
5 Langer, Ulrich
5 Li, Wei
5 Liew, Kim Meow
5 Liu, Zhaowei
5 Luong-Van, H.
5 Ma, Gang
5 Natal Jorge, Renato Manuel
5 Nguyen, Vinh Phu
5 Niu, Ruiping
5 Passieux, Jean-Charles
5 Ruess, Martin
5 Sluys, Lambertus Johannes
5 Sohn, Dongwoo
5 Thomas, Derek C.
...and 1,760 more Authors
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Cited in 74 Serials

336 Computer Methods in Applied Mechanics and Engineering
150 Engineering Analysis with Boundary Elements
122 International Journal for Numerical Methods in Engineering
112 Computational Mechanics
55 International Journal of Computational Methods
39 Applied Mathematical Modelling
36 Computers & Mathematics with Applications
24 Journal of Computational Physics
24 European Journal of Mechanics. A. Solids
22 Journal of Computational and Applied Mathematics
20 Acta Mechanica
20 Computer Aided Geometric Design
18 Mathematical Problems in Engineering
15 Applied Mathematics and Computation
12 Computers and Fluids
9 SIAM Journal on Scientific Computing
7 Numerical Methods for Partial Differential Equations
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Acta Mechanica Sinica
6 Meccanica
6 Archives of Computational Methods in Engineering
5 International Journal for Numerical Methods in Biomedical Engineering
4 Wave Motion
4 Numerische Mathematik
4 Applied Numerical Mathematics
4 Communications in Numerical Methods in Engineering
4 Journal of Applied Mathematics
3 Journal of Engineering Mathematics
3 Bulletin of Mathematical Biology
3 Mathematics and Computers in Simulation
3 Advances in Computational Mathematics
3 International Journal of Fracture
3 Communications in Mathematics and Statistics
2 International Journal for Numerical Methods in Fluids
2 International Journal of Solids and Structures
2 Journal of Mathematical Biology
2 Numerical Algorithms
2 Archive of Applied Mechanics
2 Mathematics and Mechanics of Solids
2 Computational Geosciences
2 Journal of Systems Science and Complexity
2 Journal of Applied Mathematics and Computing
2 Algorithms
2 Advances in Mathematical Physics
2 Science China. Technological Sciences
1 Mathematical Biosciences
1 BIT
1 Numerical Functional Analysis and Optimization
1 Siberian Mathematical Journal
1 Finite Elements in Analysis and Design
1 ACM Transactions on Graphics
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 Computational and Applied Mathematics
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Engineering Computations
1 Lobachevskii Journal of Mathematics
1 Central European Journal of Mathematics
1 Structural and Multidisciplinary Optimization
1 Acta Numerica
1 Mathematical Geosciences
1 Science China. Mathematics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 ISRN Applied Mathematics
1 Communications in Mathematics
1 Journal of Theoretical Biology
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics

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