Discacciati, Niccolò; Hesthaven, Jan S. Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps. (English) Zbl 07820288 Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024; Zbl 07820288) Full Text: DOI
Margenberg, Nils; Kärtner, Franz X.; Bause, Markus Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics. (English) Zbl 07819072 J. Comput. Phys. 499, Article ID 112725, 28 p. (2024). MSC: 65Mxx 68Txx 65Nxx PDFBibTeX XMLCite \textit{N. Margenberg} et al., J. Comput. Phys. 499, Article ID 112725, 28 p. (2024; Zbl 07819072) Full Text: DOI arXiv
Tartakovsky, Alexandre M.; Zong, Yifei Physics-informed machine learning method with space-time Karhunen-Loève expansions for forward and inverse partial differential equations. (English) Zbl 07819070 J. Comput. Phys. 499, Article ID 112723, 18 p. (2024). MSC: 65Cxx 60Hxx 68Txx PDFBibTeX XMLCite \textit{A. M. Tartakovsky} and \textit{Y. Zong}, J. Comput. Phys. 499, Article ID 112723, 18 p. (2024; Zbl 07819070) Full Text: DOI
Bruna, Joan; Peherstorfer, Benjamin; Vanden-Eijnden, Eric Neural Galerkin schemes with active learning for high-dimensional evolution equations. (English) Zbl 07807993 J. Comput. Phys. 496, Article ID 112588, 22 p. (2024). MSC: 65Mxx 65Nxx 68Txx PDFBibTeX XMLCite \textit{J. Bruna} et al., J. Comput. Phys. 496, Article ID 112588, 22 p. (2024; Zbl 07807993) Full Text: DOI arXiv
O’Leary-Roseberry, Thomas; Chen, Peng; Villa, Umberto; Ghattas, Omar Derivative-informed neural operator: an efficient framework for high-dimensional parametric derivative learning. (English) Zbl 07807978 J. Comput. Phys. 496, Article ID 112555, 21 p. (2024). MSC: 35Qxx 35Rxx 65Cxx PDFBibTeX XMLCite \textit{T. O'Leary-Roseberry} et al., J. Comput. Phys. 496, Article ID 112555, 21 p. (2024; Zbl 07807978) Full Text: DOI arXiv
Batlle, Pau; Darcy, Matthieu; Hosseini, Bamdad; Owhadi, Houman Kernel methods are competitive for operator learning. (English) Zbl 07807976 J. Comput. Phys. 496, Article ID 112549, 24 p. (2024). MSC: 65Nxx 65Cxx 60Hxx PDFBibTeX XMLCite \textit{P. Batlle} et al., J. Comput. Phys. 496, Article ID 112549, 24 p. (2024; Zbl 07807976) Full Text: DOI arXiv
Jha, Prashant K. Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems. (English) Zbl 07796653 Comput. Methods Appl. Mech. Eng. 419, Article ID 116595, 27 p. (2024). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{P. K. Jha}, Comput. Methods Appl. Mech. Eng. 419, Article ID 116595, 27 p. (2024; Zbl 07796653) Full Text: DOI arXiv
Becker, Sebastian; Jentzen, Arnulf; Müller, Marvin S.; von Wurstemberger, Philippe Learning the random variables in Monte Carlo simulations with stochastic gradient descent: machine learning for parametric PDEs and financial derivative pricing. (English) Zbl 07790868 Math. Finance 34, No. 1, 90-150 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65C05 65C30 91G20 PDFBibTeX XMLCite \textit{S. Becker} et al., Math. Finance 34, No. 1, 90--150 (2024; Zbl 07790868) Full Text: DOI arXiv OA License
Zhang, Xuehan; Jiang, Lijian Conditional variational autoencoder with Gaussian process regression recognition for parametric models. (English) Zbl 07756746 J. Comput. Appl. Math. 438, Article ID 115532, 22 p. (2024). MSC: 65Nxx 68Txx 35Rxx PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Jiang}, J. Comput. Appl. Math. 438, Article ID 115532, 22 p. (2024; Zbl 07756746) Full Text: DOI arXiv
Trnkova, Maria; Yarmola, Andrew Some mathematical problems motivated by 3D printing. (English) Zbl 1528.74021 Trnkova, Maria (ed.) et al., 3D printing in mathematics. AMS short course 3D printing: challenges and applications, virtual, January 3–4, 2022. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 79, 217-223 (2023). MSC: 74C05 65D18 PDFBibTeX XMLCite \textit{M. Trnkova} and \textit{A. Yarmola}, Proc. Symp. Appl. Math. 79, 217--223 (2023; Zbl 1528.74021) Full Text: DOI
Cao, Lianghao; O’Leary-Roseberry, Thomas; Jha, Prashant K.; Oden, J. Tinsley; Ghattas, Omar Residual-based error correction for neural operator accelerated Infinite-dimensional Bayesian inverse problems. (English) Zbl 07788122 J. Comput. Phys. 486, Article ID 112104, 33 p. (2023). MSC: 65Nxx 65Cxx 35Rxx PDFBibTeX XMLCite \textit{L. Cao} et al., J. Comput. Phys. 486, Article ID 112104, 33 p. (2023; Zbl 07788122) Full Text: DOI arXiv
Bouck, Lucas; Nochetto, Ricardo H.; Yang, Shuo Convergent FEM for a membrane model of liquid crystal polymer networks. (English) Zbl 1528.65101 SIAM J. Numer. Anal. 61, No. 6, 2887-2916 (2023). MSC: 65N30 74B20 74K15 74S05 76A15 PDFBibTeX XMLCite \textit{L. Bouck} et al., SIAM J. Numer. Anal. 61, No. 6, 2887--2916 (2023; Zbl 1528.65101) Full Text: DOI arXiv
Vadeboncoeur, Arnaud; Akyildiz, Ömer Deniz; Kazlauskaite, Ieva; Girolami, Mark; Cirak, Fehmi Fully probabilistic deep models for forward and inverse problems in parametric PDEs. (English) Zbl 07771285 J. Comput. Phys. 491, Article ID 112369, 25 p. (2023). MSC: 68Txx 65Nxx 65Mxx PDFBibTeX XMLCite \textit{A. Vadeboncoeur} et al., J. Comput. Phys. 491, Article ID 112369, 25 p. (2023; Zbl 07771285) Full Text: DOI arXiv
Schneider, Matti On the effectiveness of the Moulinec-Suquet discretization for composite materials. (English) Zbl 07770642 Int. J. Numer. Methods Eng. 124, No. 14, 3191-3218 (2023). MSC: 74S25 74Q05 74E30 65N12 PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 124, No. 14, 3191--3218 (2023; Zbl 07770642) Full Text: DOI OA License
Franco, Nicola Rares; Manzoni, Andrea; Zunino, Paolo Mesh-informed neural networks for operator learning in finite element spaces. (English) Zbl 1525.35120 J. Sci. Comput. 97, No. 2, Paper No. 35, 41 p. (2023). MSC: 35J60 65N30 68T07 PDFBibTeX XMLCite \textit{N. R. Franco} et al., J. Sci. Comput. 97, No. 2, Paper No. 35, 41 p. (2023; Zbl 1525.35120) Full Text: DOI arXiv OA License
Surowiec, Thomas M.; Walker, Shawn W. Optimal control of the Landau-de Gennes model of nematic liquid crystals. (English) Zbl 1520.49015 SIAM J. Control Optim. 61, No. 4, 2546-2570 (2023). MSC: 49M25 49K20 35K91 65N30 82D30 PDFBibTeX XMLCite \textit{T. M. Surowiec} and \textit{S. W. Walker}, SIAM J. Control Optim. 61, No. 4, 2546--2570 (2023; Zbl 1520.49015) Full Text: DOI arXiv
McQuarrie, Shane A.; Khodabakhshi, Parisa; Willcox, Karen E. Nonintrusive reduced-order models for parametric partial differential equations via data-driven operator inference. (English) Zbl 1521.35022 SIAM J. Sci. Comput. 45, No. 4, A1917-A1946 (2023). MSC: 35B30 35R30 65F22 PDFBibTeX XMLCite \textit{S. A. McQuarrie} et al., SIAM J. Sci. Comput. 45, No. 4, A1917--A1946 (2023; Zbl 1521.35022) Full Text: DOI arXiv
Chen, Yongsheng; Guo, Wei; Zhong, Xinghui A learned conservative semi-Lagrangian finite volume scheme for transport simulations. (English) Zbl 07715257 J. Comput. Phys. 490, Article ID 112329, 17 p. (2023). MSC: 65Mxx 68Txx 76Mxx PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Phys. 490, Article ID 112329, 17 p. (2023; Zbl 07715257) Full Text: DOI arXiv
Lu, Jiashu; Zhang, Qingyu; Zhao, Lijing; Nie, Yufeng An efficient Jacobi spectral collocation method with nonlocal quadrature rules for multi-dimensional volume-constrained nonlocal models. (English) Zbl 07714972 Int. J. Comput. Methods 20, No. 5, Article ID 2350004, 16 p. (2023). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Lu} et al., Int. J. Comput. Methods 20, No. 5, Article ID 2350004, 16 p. (2023; Zbl 07714972) Full Text: DOI
Fuhg, J. N.; Karmarkar, A.; Kadeethum, T.; Yoon, H.; Bouklas, N. Deep convolutional Ritz method: parametric PDE surrogates without labeled data. (English) Zbl 07712702 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1151-1174 (2023). MSC: 65-XX 35-XX 92B20 PDFBibTeX XMLCite \textit{J. N. Fuhg} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1151--1174 (2023; Zbl 07712702) Full Text: DOI arXiv
Quan, Xue; Chen, Huajie A finite element configuration interaction method for Wigner localization. (English) Zbl 07705895 J. Comput. Phys. 489, Article ID 112251, 13 p. (2023). MSC: 65Nxx 65Fxx 81Qxx PDFBibTeX XMLCite \textit{X. Quan} and \textit{H. Chen}, J. Comput. Phys. 489, Article ID 112251, 13 p. (2023; Zbl 07705895) Full Text: DOI arXiv
Bhattacharya, Kaushik; Liu, Burigede; Stuart, Andrew; Trautner, Margaret Learning Markovian homogenized models in viscoelasticity. (English) Zbl 1524.74078 Multiscale Model. Simul. 21, No. 2, 641-679 (2023). MSC: 74D05 74Q15 35J47 65M32 74S60 PDFBibTeX XMLCite \textit{K. Bhattacharya} et al., Multiscale Model. Simul. 21, No. 2, 641--679 (2023; Zbl 1524.74078) Full Text: DOI arXiv
Wu, Keyi; O’Leary-Roseberry, Thomas; Chen, Peng; Ghattas, Omar Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. (English) Zbl 1519.35348 J. Sci. Comput. 95, No. 1, Paper No. 30, 20 p. (2023). MSC: 35Q99 65F15 68T07 65M75 65C10 60G15 35R09 35R30 35R60 PDFBibTeX XMLCite \textit{K. Wu} et al., J. Sci. Comput. 95, No. 1, Paper No. 30, 20 p. (2023; Zbl 1519.35348) Full Text: DOI arXiv
Ko, Taehee; Li, Xiantao Stochastic algorithms for self-consistent calculations of electronic structures. (English) Zbl 07673300 Math. Comput. 92, No. 342, 1693-1728 (2023). MSC: 60G52 65C40 PDFBibTeX XMLCite \textit{T. Ko} and \textit{X. Li}, Math. Comput. 92, No. 342, 1693--1728 (2023; Zbl 07673300) Full Text: DOI arXiv
Franco, Nicola R.; Manzoni, Andrea; Zunino, Paolo A deep learning approach to reduced order modelling of parameter dependent partial differential equations. (English) Zbl 1504.65255 Math. Comput. 92, No. 340, 483-524 (2023). MSC: 65N30 68T07 35A35 35B30 35R60 PDFBibTeX XMLCite \textit{N. R. Franco} et al., Math. Comput. 92, No. 340, 483--524 (2023; Zbl 1504.65255) Full Text: DOI arXiv
Hu, Guanghui; Xie, Hehu; Xu, Fei On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. (English) Zbl 07620359 J. Comput. Phys. 472, Article ID 111674, 22 p. (2023). MSC: 65Nxx 35Qxx 81-XX PDFBibTeX XMLCite \textit{G. Hu} et al., J. Comput. Phys. 472, Article ID 111674, 22 p. (2023; Zbl 07620359) Full Text: DOI arXiv
Levine, Matthew E.; Stuart, Andrew M. A framework for machine learning of model error in dynamical systems. (English) Zbl 07750994 Commun. Am. Math. Soc. 2, 283-344 (2022). MSC: 65L05 68T30 37A30 37M10 37M25 41A30 PDFBibTeX XMLCite \textit{M. E. Levine} and \textit{A. M. Stuart}, Commun. Am. Math. Soc. 2, 283--344 (2022; Zbl 07750994) Full Text: DOI arXiv
Das, Sambit; Motamarri, Phani; Subramanian, Vishal; Rogers, David M.; Gavini, Vikram DFT-FE 1.0: a massively parallel hybrid CPU-GPU density functional theory code using finite-element discretization. (English) Zbl 07682148 Comput. Phys. Commun. 280, Article ID 108473, 29 p. (2022). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{S. Das} et al., Comput. Phys. Commun. 280, Article ID 108473, 29 p. (2022; Zbl 07682148) Full Text: DOI arXiv
Brevis, Ignacio; Muga, Ignacio; van der Zee, Kristoffer G. Neural control of discrete weak formulations: Galerkin, least squares & minimal-residual methods with quasi-optimal weights. (English) Zbl 1507.65233 Comput. Methods Appl. Mech. Eng. 402, Article ID 115716, 34 p. (2022). MSC: 65N30 68T07 PDFBibTeX XMLCite \textit{I. Brevis} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115716, 34 p. (2022; Zbl 1507.65233) Full Text: DOI arXiv
Lei, Zhen; Shi, Lei; Zeng, Chenyu Solving parametric partial differential equations with deep rectified quadratic unit neural networks. (English) Zbl 1503.65311 J. Sci. Comput. 93, No. 3, Paper No. 80, 31 p. (2022). MSC: 65N99 68T07 65N30 PDFBibTeX XMLCite \textit{Z. Lei} et al., J. Sci. Comput. 93, No. 3, Paper No. 80, 31 p. (2022; Zbl 1503.65311) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. (English) Zbl 1503.65225 J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022). MSC: 65M60 65M99 68T07 68Q32 65K10 65D05 PDFBibTeX XMLCite \textit{L. Cicci} et al., J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022; Zbl 1503.65225) Full Text: DOI arXiv
Korolev, Yury Two-layer neural networks with values in a Banach space. (English) Zbl 07632464 SIAM J. Math. Anal. 54, No. 6, 6358-6389 (2022). MSC: 68Q32 68T07 46E40 41A65 65J22 PDFBibTeX XMLCite \textit{Y. Korolev}, SIAM J. Math. Anal. 54, No. 6, 6358--6389 (2022; Zbl 07632464) Full Text: DOI arXiv
Rumpf, Martin; Simon, Stefan; Smoch, Christoph Finite element approximation of large-scale isometric deformations of parametrized surfaces. (English) Zbl 1501.65126 SIAM J. Numer. Anal. 60, No. 5, 2945-2962 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65K10 65H10 65D32 65N12 74K25 74B20 74G65 49M41 35Q74 PDFBibTeX XMLCite \textit{M. Rumpf} et al., SIAM J. Numer. Anal. 60, No. 5, 2945--2962 (2022; Zbl 1501.65126) Full Text: DOI arXiv
Hodapp, M. Efficient flexible boundary conditions for long dislocations. (English) Zbl 1496.65233 Commun. Comput. Phys. 32, No. 3, 671-714 (2022). MSC: 65N55 70C20 65N80 PDFBibTeX XMLCite \textit{M. Hodapp}, Commun. Comput. Phys. 32, No. 3, 671--714 (2022; Zbl 1496.65233) Full Text: DOI arXiv
Bretin, Elie; Denis, Roland; Masnou, Simon; Terii, Garry Learning phase field mean curvature flows with neural networks. (English) Zbl 07599612 J. Comput. Phys. 470, Article ID 111579, 28 p. (2022). MSC: 65Mxx 35Kxx 49Qxx PDFBibTeX XMLCite \textit{E. Bretin} et al., J. Comput. Phys. 470, Article ID 111579, 28 p. (2022; Zbl 07599612) Full Text: DOI arXiv
Lu, Jiashu; Nie, Yufeng A reduced-order fast reproducing kernel collocation method for nonlocal models with inhomogeneous volume constraints. (English) Zbl 1524.65669 Comput. Math. Appl. 121, 52-61 (2022). MSC: 65M70 65N35 35Q74 45K05 65M60 65M99 35R20 34C20 PDFBibTeX XMLCite \textit{J. Lu} and \textit{Y. Nie}, Comput. Math. Appl. 121, 52--61 (2022; Zbl 1524.65669) Full Text: DOI
Wang, Yating; Leung, Wing Tat; Lin, Guang AMS-net: adaptive multiscale sparse neural network with interpretable basis expansion for multiphase flow problems. (English) Zbl 1493.65234 Multiscale Model. Simul. 20, No. 2, 618-640 (2022). MSC: 65N30 76M10 76S05 68T07 76-10 PDFBibTeX XMLCite \textit{Y. Wang} et al., Multiscale Model. Simul. 20, No. 2, 618--640 (2022; Zbl 1493.65234) Full Text: DOI arXiv
Newman, Elizabeth; Chung, Julianne; Chung, Matthias; Ruthotto, Lars slimTrain – a stochastic approximation method for training separable deep neural networks. (English) Zbl 07569641 SIAM J. Sci. Comput. 44, No. 4, A2322-A2348 (2022). MSC: 68T07 65K99 65C20 PDFBibTeX XMLCite \textit{E. Newman} et al., SIAM J. Sci. Comput. 44, No. 4, A2322--A2348 (2022; Zbl 07569641) Full Text: DOI arXiv
Dahmen, Wolfgang; Wang, Min; Wang, Zhu Nonlinear reduced DNN models for state estimation. (English) Zbl 1492.65291 Commun. Comput. Phys. 32, No. 1, 1-40 (2022). MSC: 65N20 65N21 35J15 68T07 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Commun. Comput. Phys. 32, No. 1, 1--40 (2022; Zbl 1492.65291) Full Text: DOI arXiv
Fan, Yiming; Tian, Xiaochuan; Yang, Xiu; Li, Xingjie; Webster, Clayton; Yu, Yue An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems. (English) Zbl 07561048 J. Comput. Phys. 465, Article ID 111376, 28 p. (2022). MSC: 65Nxx 65Cxx 60Hxx PDFBibTeX XMLCite \textit{Y. Fan} et al., J. Comput. Phys. 465, Article ID 111376, 28 p. (2022; Zbl 07561048) Full Text: DOI arXiv
Liu, Beilei; Chen, Huajie; Dusson, Geneviève; Fang, Jun; Gao, Xingyu An adaptive planewave method for electronic structure calculations. (English) Zbl 1487.65175 Multiscale Model. Simul. 20, No. 1, 524-550 (2022). MSC: 65N25 65N35 65N15 35Q40 PDFBibTeX XMLCite \textit{B. Liu} et al., Multiscale Model. Simul. 20, No. 1, 524--550 (2022; Zbl 1487.65175) Full Text: DOI arXiv
Gao, Bin; Hu, Guanghui; Kuang, Yang; Liu, Xin An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. (English) Zbl 1491.35402 SIAM J. Sci. Comput. 44, No. 3, B723-B745 (2022). MSC: 35Q55 82M36 65N30 49M41 90C06 65Y05 65N55 65P30 PDFBibTeX XMLCite \textit{B. Gao} et al., SIAM J. Sci. Comput. 44, No. 3, B723--B745 (2022; Zbl 1491.35402) Full Text: DOI arXiv
Margenberg, Nils; Lessig, Christian; Richter, Thomas Structure preservation for the deep neural network multigrid solver. (English) Zbl 1487.65153 ETNA, Electron. Trans. Numer. Anal. 56, 86-101 (2022). MSC: 65M60 65M55 68T07 76D05 PDFBibTeX XMLCite \textit{N. Margenberg} et al., ETNA, Electron. Trans. Numer. Anal. 56, 86--101 (2022; Zbl 1487.65153) Full Text: DOI arXiv
Li, Ming; Hu, Jingqiao Analysis of heterogeneous structures of non-separated scales using curved bridge nodes. (English) Zbl 1507.65245 Comput. Methods Appl. Mech. Eng. 392, Article ID 114582, 31 p. (2022). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{M. Li} and \textit{J. Hu}, Comput. Methods Appl. Mech. Eng. 392, Article ID 114582, 31 p. (2022; Zbl 1507.65245) Full Text: DOI arXiv
Ghosh, Swarnava; Bhattacharya, Kaushik Spectral quadrature for the first principles study of crystal defects: application to magnesium. (English) Zbl 07518111 J. Comput. Phys. 456, Article ID 111035, 18 p. (2022). MSC: 81Vxx 82Bxx 65Yxx PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{K. Bhattacharya}, J. Comput. Phys. 456, Article ID 111035, 18 p. (2022; Zbl 07518111) Full Text: DOI arXiv Link
Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo LDG approximation of large deformations of prestrained plates. (English) Zbl 07516803 J. Comput. Phys. 448, Article ID 110719, 27 p. (2022). MSC: 74Kxx 65Nxx 74Bxx PDFBibTeX XMLCite \textit{A. Bonito} et al., J. Comput. Phys. 448, Article ID 110719, 27 p. (2022; Zbl 07516803) Full Text: DOI arXiv
Uriarte, Carlos; Pardo, David; Omella, Ángel Javier A finite element based deep learning solver for parametric PDEs. (English) Zbl 1507.65254 Comput. Methods Appl. Mech. Eng. 391, Article ID 114562, 25 p. (2022). MSC: 65N30 65N50 68T07 PDFBibTeX XMLCite \textit{C. Uriarte} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114562, 25 p. (2022; Zbl 1507.65254) Full Text: DOI
Chukwuemeka, Edison E.; Walker, Shawn W. Accelerated gradient descent methods for the uniaxially constrained Landau-de Gennes model. (English) Zbl 1499.65650 Adv. Appl. Math. Mech. 14, No. 1, 1-32 (2022). MSC: 65N30 49M25 35J70 65N55 76A05 76M10 35Q35 PDFBibTeX XMLCite \textit{E. E. Chukwuemeka} and \textit{S. W. Walker}, Adv. Appl. Math. Mech. 14, No. 1, 1--32 (2022; Zbl 1499.65650) Full Text: DOI
Rüland, Angkana; Tribuzio, Antonio On the energy scaling behaviour of a singularly perturbed Tartar square. (English) Zbl 1480.49002 Arch. Ration. Mech. Anal. 243, No. 1, 401-431 (2022). MSC: 49J10 74A60 74M25 65K10 PDFBibTeX XMLCite \textit{A. Rüland} and \textit{A. Tribuzio}, Arch. Ration. Mech. Anal. 243, No. 1, 401--431 (2022; Zbl 1480.49002) Full Text: DOI arXiv
Cohen, Albert (ed.); Dahmen, Wolfgang (ed.); DeVore, Ronald A. (ed.); Kunoth, Angela (ed.) Computation and learning in high dimensions. Abstracts from the workshop held August 1–7, 2021 (hybrid meeting). (English) Zbl 1506.00057 Oberwolfach Rep. 18, No. 3, 1915-1963 (2021). MSC: 00B05 00B25 65-06 65K99 41A36 PDFBibTeX XMLCite \textit{A. Cohen} (ed.) et al., Oberwolfach Rep. 18, No. 3, 1915--1963 (2021; Zbl 1506.00057) Full Text: DOI
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M. Solving and learning nonlinear PDEs with Gaussian processes. (English) Zbl 07516428 J. Comput. Phys. 447, Article ID 110668, 29 p. (2021). MSC: 65Cxx 68Txx 62Gxx PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Phys. 447, Article ID 110668, 29 p. (2021; Zbl 07516428) Full Text: DOI arXiv Link
Schimming, Cody D.; Viñals, Jorge; Walker, Shawn W. Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal. (English) Zbl 07513821 J. Comput. Phys. 441, Article ID 110441, 21 p. (2021). MSC: 65Nxx 65Fxx 82Dxx PDFBibTeX XMLCite \textit{C. D. Schimming} et al., J. Comput. Phys. 441, Article ID 110441, 21 p. (2021; Zbl 07513821) Full Text: DOI arXiv
Temizer, İ. Radial and three-dimensional nonlocal pseudopotential calculations in gradient-corrected Kohn-Sham density functional theory based on higher-order finite element methods. (English) Zbl 1507.65253 Comput. Methods Appl. Mech. Eng. 386, Article ID 114094, 20 p. (2021). MSC: 65N30 65D07 65N25 PDFBibTeX XMLCite \textit{İ. Temizer}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114094, 20 p. (2021; Zbl 1507.65253) Full Text: DOI
Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios DG approach to large bending plate deformations with isometry constraint. (English) Zbl 1473.65287 Math. Models Methods Appl. Sci. 31, No. 1, 133-175 (2021). MSC: 65N30 65N12 74K20 PDFBibTeX XMLCite \textit{A. Bonito} et al., Math. Models Methods Appl. Sci. 31, No. 1, 133--175 (2021; Zbl 1473.65287) Full Text: DOI arXiv
Guo, Yichen; Jia, Lueling; Chen, Huajie; Li, Huiyuan; Zhang, Zhimin A mortar spectral element method for full-potential electronic structure calculations. (English) Zbl 1475.65182 Commun. Comput. Phys. 29, No. 5, 1541-1569 (2021). MSC: 65N25 65N30 35Q40 81Q80 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Comput. Phys. 29, No. 5, 1541--1569 (2021; Zbl 1475.65182) Full Text: DOI
Agrawal, Vinamra; Runnels, Brandon Block structured adaptive mesh refinement and strong form elasticity approach to phase field fracture with applications to delamination, crack branching and crack deflection. (English) Zbl 1502.74096 Comput. Methods Appl. Mech. Eng. 385, Article ID 114011, 18 p. (2021). MSC: 74R10 74B05 65N50 PDFBibTeX XMLCite \textit{V. Agrawal} and \textit{B. Runnels}, Comput. Methods Appl. Mech. Eng. 385, Article ID 114011, 18 p. (2021; Zbl 1502.74096) Full Text: DOI arXiv
Harrach, Bastian An introduction to finite element methods for inverse coefficient problems in elliptic PDEs. (English) Zbl 1510.65288 Jahresber. Dtsch. Math.-Ver. 123, No. 3, 183-210 (2021). MSC: 65N21 65N30 65N12 35A15 65-01 PDFBibTeX XMLCite \textit{B. Harrach}, Jahresber. Dtsch. Math.-Ver. 123, No. 3, 183--210 (2021; Zbl 1510.65288) Full Text: DOI arXiv
Daví, Fabrizio Existence, decay time and light yield for a reaction-diffusion-drift equation In the continuum physics of scintillators. (English) Zbl 1487.35376 Vespri, Vincenzo (ed.) et al., Harnack inequalities and nonlinear operators. Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto. Cham: Springer. Springer INdAM Ser. 46, 125-137 (2021). MSC: 35Q92 92C05 92C40 78A40 35A15 35A23 35B27 35B45 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{F. Daví}, Springer INdAM Ser. 46, 125--137 (2021; Zbl 1487.35376) Full Text: DOI arXiv
Nelsen, Nicholas H.; Stuart, Andrew M. The random feature model for input-output maps between Banach spaces. (English) Zbl 07398767 SIAM J. Sci. Comput. 43, No. 5, A3212-A3243 (2021). MSC: 65D15 65D40 62M45 35R60 PDFBibTeX XMLCite \textit{N. H. Nelsen} and \textit{A. M. Stuart}, SIAM J. Sci. Comput. 43, No. 5, A3212--A3243 (2021; Zbl 07398767) Full Text: DOI arXiv
Wang, Yangshuai; Chen, Huajie; Liao, Mingjie; Ortner, Christoph; Wang, Hao; Zhang, Lei A posteriori error estimates for adaptive QM/MM coupling methods. (English) Zbl 1486.65266 SIAM J. Sci. Comput. 43, No. 4, A2785-A2808 (2021). MSC: 65N30 65N12 65N15 65Q10 65Z05 74N15 81V55 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM J. Sci. Comput. 43, No. 4, A2785--A2808 (2021; Zbl 1486.65266) Full Text: DOI arXiv
Dal Maso, Gianni; Heltai, Luca A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. (English) Zbl 1471.65183 J. Convex Anal. 28, No. 2, 535-548 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65N30 35J05 35J25 74A45 74C05 74B10 74R10 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{L. Heltai}, J. Convex Anal. 28, No. 2, 535--548 (2021; Zbl 1471.65183) Full Text: arXiv Link
Jha, P. K.; Lipton, R. Finite element approximation of nonlocal dynamic fracture models. (English) Zbl 1465.74163 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1675-1710 (2021). MSC: 74S05 74R99 74A70 74S20 65M12 PDFBibTeX XMLCite \textit{P. K. Jha} and \textit{R. Lipton}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1675--1710 (2021; Zbl 1465.74163) Full Text: DOI arXiv
Marín, F.; Martínez-Frutos, J.; Ortigosa, R.; Gil, A. J. A convex multi-variable based computational framework for multilayered electro-active polymers. (English) Zbl 1506.74014 Comput. Methods Appl. Mech. Eng. 374, Article ID 113567, 42 p. (2021). MSC: 74A20 74S05 65N30 74F15 PDFBibTeX XMLCite \textit{F. Marín} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113567, 42 p. (2021; Zbl 1506.74014) Full Text: DOI Link
Zhang, Xuhao; Li, Xiao; Cheng, Aijie; Wang, Hong A preconditioned fast collocation method for a linear bond-based peridynamic model. (English) Zbl 1482.65057 Adv. Difference Equ. 2020, Paper No. 244, 15 p. (2020). MSC: 65F10 65F08 74S05 65N35 74A45 PDFBibTeX XMLCite \textit{X. Zhang} et al., Adv. Difference Equ. 2020, Paper No. 244, 15 p. (2020; Zbl 1482.65057) Full Text: DOI
Kuang, Yang; Hu, Guanghui On stabilizing and accelerating SCF using ITP in solving Kohn-Sham equation. (English) Zbl 1473.35510 Commun. Comput. Phys. 28, No. 3, 999-1018 (2020). MSC: 35Q55 65N30 PDFBibTeX XMLCite \textit{Y. Kuang} and \textit{G. Hu}, Commun. Comput. Phys. 28, No. 3, 999--1018 (2020; Zbl 1473.35510) Full Text: DOI
Du, Ning; Guo, Xu; Wang, Hong A fast state-based peridynamic numerical model. (English) Zbl 1473.65037 Commun. Comput. Phys. 27, No. 1, 274-291 (2020). MSC: 65F10 65M70 65T50 74B15 PDFBibTeX XMLCite \textit{N. Du} et al., Commun. Comput. Phys. 27, No. 1, 274--291 (2020; Zbl 1473.65037) Full Text: DOI
Xu, Fei A cascadic adaptive finite element method for nonlinear eigenvalue problems in quantum physics. (English) Zbl 1435.65212 Multiscale Model. Simul. 18, No. 1, 198-220 (2020). MSC: 65N30 65N25 65L15 65B99 65N55 65N50 PDFBibTeX XMLCite \textit{F. Xu}, Multiscale Model. Simul. 18, No. 1, 198--220 (2020; Zbl 1435.65212) Full Text: DOI
Suryanarayana, Phanish; Pratapa, Phanisri P.; Pask, John E. Alternating Anderson-Richardson method: an efficient alternative to preconditioned Krylov methods for large, sparse linear systems. (English) Zbl 07682611 Comput. Phys. Commun. 234, 278-285 (2019). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{P. Suryanarayana} et al., Comput. Phys. Commun. 234, 278--285 (2019; Zbl 07682611) Full Text: DOI arXiv
Wang, Xiaonan; Kulkarni, Shank S.; Tabarraei, Alireza Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems. (English) Zbl 1440.74041 Comput. Methods Appl. Mech. Eng. 344, 251-275 (2019). MSC: 74A45 74S05 65M60 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Methods Appl. Mech. Eng. 344, 251--275 (2019; Zbl 1440.74041) Full Text: DOI
Lin, Lin; Lu, Jianfeng; Ying, Lexing Numerical methods for Kohn-Sham density functional theory. (English) Zbl 07099162 Acta Numerica 28, 405-539 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{L. Lin} et al., Acta Numerica 28, 405--539 (2019; Zbl 07099162) Full Text: DOI
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Thai, Tran Quoc; Rabczuk, Timon; Zhuang, Xiaoying A large deformation isogeometric approach for flexoelectricity and soft materials. (English) Zbl 1440.74443 Comput. Methods Appl. Mech. Eng. 341, 718-739 (2018). MSC: 74S05 74F15 65N30 65D07 74L15 PDFBibTeX XMLCite \textit{T. Q. Thai} et al., Comput. Methods Appl. Mech. Eng. 341, 718--739 (2018; Zbl 1440.74443) Full Text: DOI
Polukhov, E.; Vallicotti, D.; Keip, M.-A. Computational stability analysis of periodic electroactive polymer composites across scales. (English) Zbl 1440.74138 Comput. Methods Appl. Mech. Eng. 337, 165-197 (2018). MSC: 74F15 74S05 65M60 74E30 PDFBibTeX XMLCite \textit{E. Polukhov} et al., Comput. Methods Appl. Mech. Eng. 337, 165--197 (2018; Zbl 1440.74138) Full Text: DOI
Cimrman, Robert; Novák, Matyáš; Kolman, Radek; Tuma, Miroslav; Plešek, Jiří; Vackář, Jiří Convergence study of isogeometric analysis based on Bézier extraction in electronic structure calculations. (English) Zbl 1426.78032 Appl. Math. Comput. 319, 138-152 (2018). MSC: 78M10 74S05 65N25 74F15 78A10 PDFBibTeX XMLCite \textit{R. Cimrman} et al., Appl. Math. Comput. 319, 138--152 (2018; Zbl 1426.78032) Full Text: DOI arXiv Link
Liu, Huan; Cheng, Aijie; Wang, Hong A fast discontinuous Galerkin method for a bond-based linear peridynamic model discretized on a locally refined composite mesh. (English) Zbl 1397.65279 J. Sci. Comput. 76, No. 2, 913-942 (2018). MSC: 65N30 65N50 65F08 65F10 15B05 65N12 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 76, No. 2, 913--942 (2018; Zbl 1397.65279) Full Text: DOI
Kuang, Yang; Hu, Guanghui An adaptive FEM with ITP approach for steady Schrödinger equation. (English) Zbl 1390.65147 Int. J. Comput. Math. 95, No. 1, 187-201 (2018). MSC: 65N30 35Q40 PDFBibTeX XMLCite \textit{Y. Kuang} and \textit{G. Hu}, Int. J. Comput. Math. 95, No. 1, 187--201 (2018; Zbl 1390.65147) Full Text: DOI
Djaka, Komlan Sénam; Villani, Aurélien; Taupin, Vincent; Capolungo, Laurent; Berbenni, Stéphane Field dislocation mechanics for heterogeneous elastic materials: a numerical spectral approach. (English) Zbl 1439.74499 Comput. Methods Appl. Mech. Eng. 315, 921-942 (2017). MSC: 74S99 65N35 74E05 PDFBibTeX XMLCite \textit{K. S. Djaka} et al., Comput. Methods Appl. Mech. Eng. 315, 921--942 (2017; Zbl 1439.74499) Full Text: DOI HAL
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. (English) Zbl 1411.74058 Appl. Math. Comput. 305, 282-298 (2017). MSC: 74S05 65N30 45K05 74A45 PDFBibTeX XMLCite \textit{Y. Tao} et al., Appl. Math. Comput. 305, 282--298 (2017; Zbl 1411.74058) Full Text: DOI
Egan, Raphael; Gibou, Frédéric Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. (English) Zbl 1380.65349 J. Comput. Phys. 346, 71-90 (2017). MSC: 65N22 35J05 35A08 65D30 PDFBibTeX XMLCite \textit{R. Egan} and \textit{F. Gibou}, J. Comput. Phys. 346, 71--90 (2017; Zbl 1380.65349) Full Text: DOI
Ghosh, Swarnava; Suryanarayana, Phanish SPARC: accurate and efficient finite-difference formulation and parallel implementation of density functional theory: isolated clusters. (English) Zbl 1376.78001 Comput. Phys. Commun. 212, 189-204 (2017). MSC: 78A30 81V70 65Y05 PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{P. Suryanarayana}, Comput. Phys. Commun. 212, 189--204 (2017; Zbl 1376.78001) Full Text: DOI arXiv
Seleson, Pablo; Littlewood, David J. Convergence studies in meshfree peridynamic simulations. (English) Zbl 1443.65253 Comput. Math. Appl. 71, No. 11, 2432-2448 (2016). MSC: 65M70 74A45 PDFBibTeX XMLCite \textit{P. Seleson} and \textit{D. J. Littlewood}, Comput. Math. Appl. 71, No. 11, 2432--2448 (2016; Zbl 1443.65253) Full Text: DOI
Zhang, Xuhao; Wang, Hong A fast collocation method for a static bond-based linear peridynamic model. (English) Zbl 1439.74493 Comput. Methods Appl. Mech. Eng. 311, 280-303 (2016). MSC: 74S25 65N35 74A45 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{H. Wang}, Comput. Methods Appl. Mech. Eng. 311, 280--303 (2016; Zbl 1439.74493) Full Text: DOI
Davydov, Denis; Young, Toby D.; Steinmann, Paul On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. (English) Zbl 1352.65460 Int. J. Numer. Methods Eng. 106, No. 11, 863-888 (2016). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{D. Davydov} et al., Int. J. Numer. Methods Eng. 106, No. 11, 863--888 (2016; Zbl 1352.65460) Full Text: DOI
Rakhuba, M. V.; Oseledets, I. V. Grid-based electronic structure calculations: the tensor decomposition approach. (English) Zbl 1351.82040 J. Comput. Phys. 312, 19-30 (2016). MSC: 82B80 65N25 82B10 PDFBibTeX XMLCite \textit{M. V. Rakhuba} and \textit{I. V. Oseledets}, J. Comput. Phys. 312, 19--30 (2016; Zbl 1351.82040) Full Text: DOI arXiv
Monchiet, Vincent Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites. (English) Zbl 1423.74218 Comput. Methods Appl. Mech. Eng. 283, 454-473 (2015). MSC: 74E30 74S30 65N35 65T50 74Q05 PDFBibTeX XMLCite \textit{V. Monchiet}, Comput. Methods Appl. Mech. Eng. 283, 454--473 (2015; Zbl 1423.74218) Full Text: DOI HAL
Miehe, C.; Vallicotti, D.; Zäh, D. Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials. (English) Zbl 1352.74115 Int. J. Numer. Methods Eng. 102, No. 10, 1605-1637 (2015). MSC: 74F15 74S05 74G60 65M60 PDFBibTeX XMLCite \textit{C. Miehe} et al., Int. J. Numer. Methods Eng. 102, No. 10, 1605--1637 (2015; Zbl 1352.74115) Full Text: DOI
Banerjee, Amartya S.; Elliott, Ryan S.; James, Richard D. A spectral scheme for Kohn-Sham density functional theory of clusters. (English) Zbl 1351.81014 J. Comput. Phys. 287, 226-253 (2015). MSC: 81-08 82-08 65N35 65N25 81P68 82C10 PDFBibTeX XMLCite \textit{A. S. Banerjee} et al., J. Comput. Phys. 287, 226--253 (2015; Zbl 1351.81014) Full Text: DOI arXiv
Bao, Gang; Hu, Guanghui; Liu, Di Real-time adaptive finite element solution of time-dependent Kohn-Sham equation. (English) Zbl 1354.65187 J. Comput. Phys. 281, 743-758 (2015). MSC: 65M60 PDFBibTeX XMLCite \textit{G. Bao} et al., J. Comput. Phys. 281, 743--758 (2015; Zbl 1354.65187) Full Text: DOI
Chen, Huajie; Schneider, Reinhold Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations. (English) Zbl 1330.65170 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 755-785 (2015). Reviewer: Jiguang Sun (Dover) MSC: 65N25 35P30 81Q05 65N15 PDFBibTeX XMLCite \textit{H. Chen} and \textit{R. Schneider}, ESAIM, Math. Model. Numer. Anal. 49, No. 3, 755--785 (2015; Zbl 1330.65170) Full Text: DOI
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo An FFT-based Galerkin method for homogenization of periodic media. (English) Zbl 1369.65151 Comput. Math. Appl. 68, No. 3, 156-173 (2014). MSC: 65N30 65T50 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Math. Appl. 68, No. 3, 156--173 (2014; Zbl 1369.65151) Full Text: DOI arXiv
Li, Xiantao Coarse-graining molecular dynamics models using an extended Galerkin projection method. (English) Zbl 1352.82021 Int. J. Numer. Methods Eng. 99, No. 3, 157-182 (2014). MSC: 82C80 65L60 74A25 82D25 PDFBibTeX XMLCite \textit{X. Li}, Int. J. Numer. Methods Eng. 99, No. 3, 157--182 (2014; Zbl 1352.82021) Full Text: DOI arXiv
Moulinec, H.; Silva, F. Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials. (English) Zbl 1352.74223 Int. J. Numer. Methods Eng. 97, No. 13, 960-985 (2014). MSC: 74M25 65T50 PDFBibTeX XMLCite \textit{H. Moulinec} and \textit{F. Silva}, Int. J. Numer. Methods Eng. 97, No. 13, 960--985 (2014; Zbl 1352.74223) Full Text: DOI HAL
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui Adaptive finite element approximations for Kohn-Sham models. (English) Zbl 1316.35260 Multiscale Model. Simul. 12, No. 4, 1828-1869 (2014). MSC: 35Q55 65N15 65N25 65N30 81Q05 35P30 PDFBibTeX XMLCite \textit{H. Chen} et al., Multiscale Model. Simul. 12, No. 4, 1828--1869 (2014; Zbl 1316.35260) Full Text: DOI arXiv
Zhang, Lei; Cao, Liqun; Luo, Jianlan Multiscale analysis and computation for a stationary Schrödinger-Poisson system in heterogeneous nanostructures. (English) Zbl 1312.74016 Multiscale Model. Simul. 12, No. 4, 1561-1591 (2014). MSC: 74M10 74A60 65N30 35B27 35C20 35J57 65F10 35B50 PDFBibTeX XMLCite \textit{L. Zhang} et al., Multiscale Model. Simul. 12, No. 4, 1561--1591 (2014; Zbl 1312.74016) Full Text: DOI
Hurtado, Daniel E.; Henao, Duvan Gradient flows and variational principles for cardiac electrophysiology: toward efficient and robust numerical simulations of the electrical activity of the heart. (English) Zbl 1296.76186 Comput. Methods Appl. Mech. Eng. 273, 238-254 (2014). MSC: 76Z05 92C30 65M60 74L15 PDFBibTeX XMLCite \textit{D. E. Hurtado} and \textit{D. Henao}, Comput. Methods Appl. Mech. Eng. 273, 238--254 (2014; Zbl 1296.76186) Full Text: DOI
Dhote, R. P.; Gomez, H.; Melnik, R. N. V.; Zu, J. Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys. (English) Zbl 1398.74322 Comput. Mech. 53, No. 6, 1235-1250 (2014). MSC: 74S05 74F05 65D17 74S30 65D07 65M60 PDFBibTeX XMLCite \textit{R. P. Dhote} et al., Comput. Mech. 53, No. 6, 1235--1250 (2014; Zbl 1398.74322) Full Text: DOI
Maday, Yvon \({h-P}\) finite element approximation for full-potential electronic structure calculations. (English) Zbl 1302.65255 Chin. Ann. Math., Ser. B 35, No. 1, 1-24 (2014). MSC: 65N30 65N25 65T99 35P30 35Q40 81Q05 PDFBibTeX XMLCite \textit{Y. Maday}, Chin. Ann. Math., Ser. B 35, No. 1, 1--24 (2014; Zbl 1302.65255) Full Text: DOI
Greco, F.; Sukumar, N. Derivatives of maximum-entropy basis functions on the boundary: theory and computations. (English) Zbl 1352.65207 Int. J. Numer. Methods Eng. 94, No. 12, 1123-1149 (2013). MSC: 65L60 PDFBibTeX XMLCite \textit{F. Greco} and \textit{N. Sukumar}, Int. J. Numer. Methods Eng. 94, No. 12, 1123--1149 (2013; Zbl 1352.65207) Full Text: DOI
Rosolen, A.; Millán, D.; Arroyo, M. Second-order convex maximum entropy approximants with applications to high-order PDE. (English) Zbl 1352.74177 Int. J. Numer. Methods Eng. 94, No. 2, 150-182 (2013). MSC: 74K25 74G15 74H45 74S05 65N30 PDFBibTeX XMLCite \textit{A. Rosolen} et al., Int. J. Numer. Methods Eng. 94, No. 2, 150--182 (2013; Zbl 1352.74177) Full Text: DOI Link
Stupkiewicz, S.; Petryk, H. A robust model of pseudoelasticity in shape memory alloys. (English) Zbl 1352.74227 Int. J. Numer. Methods Eng. 93, No. 7, 747-769 (2013). MSC: 74N30 74S05 65N30 74N15 PDFBibTeX XMLCite \textit{S. Stupkiewicz} and \textit{H. Petryk}, Int. J. Numer. Methods Eng. 93, No. 7, 747--769 (2013; Zbl 1352.74227) Full Text: DOI