Marcati, Carlo; Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph Exponential ReLU neural network approximation rates for point and edge singularities. (English) Zbl 1519.35253 Found. Comput. Math. 23, No. 3, 1043-1127 (2023). MSC: 35Q40 41A25 41A46 65N30 68T07 35B65 35P30 35J15 PDFBibTeX XMLCite \textit{C. Marcati} et al., Found. Comput. Math. 23, No. 3, 1043--1127 (2023; Zbl 1519.35253) Full Text: DOI arXiv
Griebel, Michael; Harbrecht, Helmut Analysis of tensor approximation schemes for continuous functions. (English) Zbl 07654471 Found. Comput. Math. 23, No. 1, 219-240 (2023). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 41A46 41A63 46E35 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{H. Harbrecht}, Found. Comput. Math. 23, No. 1, 219--240 (2023; Zbl 07654471) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. (English) Zbl 1512.65263 Found. Comput. Math. 23, No. 1, 85-164 (2023). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N12 65N15 58A12 78A30 78M10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Found. Comput. Math. 23, No. 1, 85--164 (2023; Zbl 1512.65263) Full Text: DOI arXiv
Kawecki, Ellya L.; Smears, Iain Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 1492.65314 Found. Comput. Math. 22, No. 2, 315-364 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 35J10 91A05 91A15 35Q91 91-08 PDFBibTeX XMLCite \textit{E. L. Kawecki} and \textit{I. Smears}, Found. Comput. Math. 22, No. 2, 315--364 (2022; Zbl 1492.65314) Full Text: DOI arXiv
Berchenko-Kogan, Yakov; Stern, Ari Constraint-preserving hybrid finite element methods for Maxwell’s equations. (English) Zbl 1478.78069 Found. Comput. Math. 21, No. 4, 1075-1098 (2021). MSC: 78M10 78M20 78M50 65M60 65M06 65N30 65L06 65P10 65M55 65N25 49M41 35Q61 PDFBibTeX XMLCite \textit{Y. Berchenko-Kogan} and \textit{A. Stern}, Found. Comput. Math. 21, No. 4, 1075--1098 (2021; Zbl 1478.78069) Full Text: DOI arXiv
Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei A neural network-based policy iteration algorithm with global \(H^2\)-superlinear convergence for stochastic games on domains. (English) Zbl 1472.82030 Found. Comput. Math. 21, No. 2, 331-374 (2021). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C32 82M20 91A15 65M12 65M06 49J35 35D35 35A02 PDFBibTeX XMLCite \textit{K. Ito} et al., Found. Comput. Math. 21, No. 2, 331--374 (2021; Zbl 1472.82030) Full Text: DOI arXiv
Kanagawa, Motonobu; Sriperumbudur, Bharath K.; Fukumizu, Kenji Convergence analysis of deterministic kernel-based quadrature rules in misspecified settings. (English) Zbl 07161204 Found. Comput. Math. 20, No. 1, 155-194 (2020). MSC: 65D30 65D32 65D05 46E35 46E22 PDFBibTeX XMLCite \textit{M. Kanagawa} et al., Found. Comput. Math. 20, No. 1, 155--194 (2020; Zbl 07161204) Full Text: DOI arXiv
Floater, Michael S.; Gillette, Andrew Nodal bases for the serendipity family of finite elements. (English) Zbl 1376.41001 Found. Comput. Math. 17, No. 4, 879-893 (2017). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{M. S. Floater} and \textit{A. Gillette}, Found. Comput. Math. 17, No. 4, 879--893 (2017; Zbl 1376.41001) Full Text: DOI arXiv
Mansfield, Elizabeth L.; Pryer, Tristan Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem. (English) Zbl 1372.65194 Found. Comput. Math. 17, No. 3, 729-762 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K10 65N30 49M25 49J20 PDFBibTeX XMLCite \textit{E. L. Mansfield} and \textit{T. Pryer}, Found. Comput. Math. 17, No. 3, 729--762 (2017; Zbl 1372.65194) Full Text: DOI arXiv
Veeser, Andreas Approximating gradients with continuous piecewise polynomial functions. (English) Zbl 1347.41043 Found. Comput. Math. 16, No. 3, 723-750 (2016). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A15 41A05 65N30 65N15 PDFBibTeX XMLCite \textit{A. Veeser}, Found. Comput. Math. 16, No. 3, 723--750 (2016; Zbl 1347.41043) Full Text: DOI arXiv
Hiptmair, R.; Moiola, A.; Perugia, I. Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. (English) Zbl 1347.65176 Found. Comput. Math. 16, No. 3, 637-675 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N50 35J05 65N12 PDFBibTeX XMLCite \textit{R. Hiptmair} et al., Found. Comput. Math. 16, No. 3, 637--675 (2016; Zbl 1347.65176) Full Text: DOI
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. A PDE approach to fractional diffusion in general domains: a priori error analysis. (English) Zbl 1347.65178 Found. Comput. Math. 15, No. 3, 733-791 (2015). Reviewer: Michael Plum (Karlsruhe) MSC: 65N30 35R11 65N12 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Found. Comput. Math. 15, No. 3, 733--791 (2015; Zbl 1347.65178) Full Text: DOI arXiv
Demlow, Alan; Hirani, Anil N. A posteriori error estimates for finite element exterior calculus: the de Rham complex. (English) Zbl 1308.65187 Found. Comput. Math. 14, No. 6, 1337-1371 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 58A12 58A14 58A15 58J05 PDFBibTeX XMLCite \textit{A. Demlow} and \textit{A. N. Hirani}, Found. Comput. Math. 14, No. 6, 1337--1371 (2014; Zbl 1308.65187) Full Text: DOI arXiv
Hangelbroek, T.; Narcowich, F. J.; Ward, J. D. Polyharmonic and related kernels on manifolds: interpolation and approximation. (English) Zbl 1259.41005 Found. Comput. Math. 12, No. 5, 625-670 (2012). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A05 41A63 46E22 46E35 PDFBibTeX XMLCite \textit{T. Hangelbroek} et al., Found. Comput. Math. 12, No. 5, 625--670 (2012; Zbl 1259.41005) Full Text: DOI arXiv
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H. Convergence rates of AFEM with \(H^{-1}\) data. (English) Zbl 1416.65440 Found. Comput. Math. 12, No. 5, 671-718 (2012). MSC: 65N30 65N15 41A25 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Cohen} et al., Found. Comput. Math. 12, No. 5, 671--718 (2012; Zbl 1416.65440) Full Text: DOI