Bernkopf, Maximilian; Melenk, Jens Markus Optimal convergence rates in \(L^2\) for a first order system least squares finite element method. I: Homogeneous boundary conditions. (English) Zbl 1516.65123 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 107-141 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N35 65K10 65N12 65N15 35J15 41A25 PDFBibTeX XMLCite \textit{M. Bernkopf} and \textit{J. M. Melenk}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 107--141 (2023; Zbl 1516.65123) Full Text: DOI arXiv
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. (English) Zbl 1471.65137 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849-1882 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M60 35L03 35Q40 35Q49 60H35 65D32 65L06 65M12 65M75 65M70 81Q20 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849--1882 (2020; Zbl 1471.65137) Full Text: DOI arXiv
Deparis, Simone; Iubatti, Antonio; Pegolotti, Luca Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space. (English) Zbl 1427.65391 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1667-1694 (2019). MSC: 65N35 65N30 35J25 65N55 PDFBibTeX XMLCite \textit{S. Deparis} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1667--1694 (2019; Zbl 1427.65391) Full Text: DOI arXiv
Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers’ equation using a polynomial chaos approach. (English) Zbl 1420.65094 ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2215-2245 (2018). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M12 65M70 65M60 65M08 65M06 35Q53 PDFBibTeX XMLCite \textit{P. Öffner} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2215--2245 (2018; Zbl 1420.65094) Full Text: DOI arXiv
Mora, David; Rivera, Gonzalo; Velásquez, Iván A virtual element method for the vibration problem of Kirchhoff plates. (English) Zbl 1407.65274 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1437-1456 (2018). MSC: 65N25 65N30 74K20 74H45 65N15 PDFBibTeX XMLCite \textit{D. Mora} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1437--1456 (2018; Zbl 1407.65274) Full Text: DOI arXiv
Delcourte, Sarah; Glinsky, Nathalie Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation. (English) Zbl 1320.74101 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1085-1126 (2015). MSC: 74S05 65M70 35Q74 35L50 35F10 35F15 35L05 PDFBibTeX XMLCite \textit{S. Delcourte} and \textit{N. Glinsky}, ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1085--1126 (2015; Zbl 1320.74101) Full Text: DOI
Babuška, Ivo; Huang, Xu; Lipton, Robert Machine computation using the exponentially convergent multiscale spectral generalized finite element method. (English) Zbl 1320.74097 ESAIM, Math. Model. Numer. Anal. 48, No. 2, 493-515 (2014). MSC: 74S05 74Q05 65N30 35Q74 PDFBibTeX XMLCite \textit{I. Babuška} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 2, 493--515 (2014; Zbl 1320.74097) Full Text: DOI
Efendiev, Y.; Galvis, J.; Presho, M.; Zhou, J. A multiscale enrichment procedure for nonlinear monotone operators. (English) Zbl 1312.65207 ESAIM, Math. Model. Numer. Anal. 48, No. 2, 475-491 (2014). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N55 65N30 35J60 35P30 65N25 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 2, 475--491 (2014; Zbl 1312.65207) Full Text: DOI
Mugler, Antje; Starkloff, Hans-Jörg On the convergence of the stochastic Galerkin method for random elliptic partial differential equations. (English) Zbl 1297.65010 ESAIM, Math. Model. Numer. Anal. 47, No. 5, 1237-1263 (2013). Reviewer: François Bolley (Paris) MSC: 65C30 35R60 65N12 65N30 60H15 60H35 PDFBibTeX XMLCite \textit{A. Mugler} and \textit{H.-J. Starkloff}, ESAIM, Math. Model. Numer. Anal. 47, No. 5, 1237--1263 (2013; Zbl 1297.65010) Full Text: DOI
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth On the convergence of generalized polynomial chaos expansions. (English) Zbl 1273.65012 ESAIM, Math. Model. Numer. Anal. 46, No. 2, 317-339 (2012). MSC: 65C30 35R60 60H10 60H35 65N12 PDFBibTeX XMLCite \textit{O. G. Ernst} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 2, 317--339 (2012; Zbl 1273.65012) Full Text: DOI
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. (English) Zbl 1145.65094 ESAIM, Math. Model. Numer. Anal. 41, No. 4, 801-824 (2007). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 65N35 65N55 35J05 65N15 PDFBibTeX XMLCite \textit{Z. Belhachmi} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 4, 801--824 (2007; Zbl 1145.65094) Full Text: DOI Numdam EuDML
Toselli, Andrea; Vasseur, Xavier A numerical study on Neumann-Neumann methods for \(hp\) approximations on geometrically refined boundary layer meshes. II: Three-dimensional problems. (English) Zbl 1094.65121 ESAIM, Math. Model. Numer. Anal. 40, No. 1, 99-122 (2006). MSC: 65N30 65N55 65F10 65F35 35J25 35B25 PDFBibTeX XMLCite \textit{A. Toselli} and \textit{X. Vasseur}, ESAIM, Math. Model. Numer. Anal. 40, No. 1, 99--122 (2006; Zbl 1094.65121) Full Text: DOI Numdam EuDML
Bartels, Sören Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. (English) Zbl 1078.35006 ESAIM, Math. Model. Numer. Anal. 39, No. 5, 863-882 (2005). Reviewer: Pavol Chocholatý (Bratislava) MSC: 35A35 82D55 65N30 PDFBibTeX XMLCite \textit{S. Bartels}, ESAIM, Math. Model. Numer. Anal. 39, No. 5, 863--882 (2005; Zbl 1078.35006) Full Text: DOI Numdam EuDML