Ku, JaEun; Stynes, Martin A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 07807776 BIT 64, No. 1, Paper No. 7, 24 p. (2024). MSC: 65N30 65N15 35B25 35J15 PDFBibTeX XMLCite \textit{J. Ku} and \textit{M. Stynes}, BIT 64, No. 1, Paper No. 7, 24 p. (2024; Zbl 07807776) Full Text: DOI
Han, Jiayu; Zhang, Zhimin An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem. (English) Zbl 07782832 BIT 63, No. 4, Paper No. 56, 29 p. (2023). MSC: 65N25 65N30 65N12 65N15 65N50 35B45 35Q60 PDFBibTeX XMLCite \textit{J. Han} and \textit{Z. Zhang}, BIT 63, No. 4, Paper No. 56, 29 p. (2023; Zbl 07782832) Full Text: DOI arXiv
Zhang, Xiaodi; Dong, Shitian New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation. (English) Zbl 1528.65119 BIT 63, No. 4, Paper No. 55, 34 p. (2023). MSC: 65N30 65N12 65N15 76M10 76W05 58A12 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{S. Dong}, BIT 63, No. 4, Paper No. 55, 34 p. (2023; Zbl 1528.65119) Full Text: DOI
Lang, Annika; Pereira, Mike Galerkin-Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds. (English) Zbl 07760987 BIT 63, No. 4, Paper No. 51, 44 p. (2023). MSC: 60G60 60H35 60G15 58J05 58C40 41A10 65C30 65M60 PDFBibTeX XMLCite \textit{A. Lang} and \textit{M. Pereira}, BIT 63, No. 4, Paper No. 51, 44 p. (2023; Zbl 07760987) Full Text: DOI arXiv OA License
Du, Zhijie; Duan, Huoyuan A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. (English) Zbl 1526.65054 BIT 63, No. 4, Paper No. 47, 32 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, BIT 63, No. 4, Paper No. 47, 32 p. (2023; Zbl 1526.65054) Full Text: DOI
Han, Weimin; Jing, Feifei; Yao, Yuan Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality. (English) Zbl 07741140 BIT 63, No. 4, Paper No. 46, 31 p. (2023). MSC: 65Nxx 65K15 65N30 76M10 PDFBibTeX XMLCite \textit{W. Han} et al., BIT 63, No. 4, Paper No. 46, 31 p. (2023; Zbl 07741140) Full Text: DOI
Eckhardt, Daniel; Verfürth, Barbara Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales. (English) Zbl 1516.65085 BIT 63, No. 2, Paper No. 35, 26 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K15 35B27 PDFBibTeX XMLCite \textit{D. Eckhardt} and \textit{B. Verfürth}, BIT 63, No. 2, Paper No. 35, 26 p. (2023; Zbl 1516.65085) Full Text: DOI arXiv
Lederer, Philip L. Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems. (English) Zbl 07692056 BIT 63, No. 2, Paper No. 34, 21 p. (2023). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{P. L. Lederer}, BIT 63, No. 2, Paper No. 34, 21 p. (2023; Zbl 07692056) Full Text: DOI arXiv
Xu, Fei; Huang, Qiumei; Xie, Manting An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 1502.65259 BIT 62, No. 4, 2005-2033 (2022). MSC: 65N55 65N50 65N25 65N30 65N12 65N15 65J15 74B99 74S05 PDFBibTeX XMLCite \textit{F. Xu} et al., BIT 62, No. 4, 2005--2033 (2022; Zbl 1502.65259) Full Text: DOI
Patrizi, Francesco Effective grading refinement for locally linearly independent LR B-splines. (English) Zbl 1503.65031 BIT 62, No. 4, 1745-1764 (2022). MSC: 65D07 65D17 65N30 PDFBibTeX XMLCite \textit{F. Patrizi}, BIT 62, No. 4, 1745--1764 (2022; Zbl 1503.65031) Full Text: DOI arXiv
Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C. Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. (English) Zbl 1502.35169 BIT 62, No. 4, 1703-1743 (2022). MSC: 35Q82 35Q93 82C22 82M36 65M70 65N35 65F10 35B65 49M41 PDFBibTeX XMLCite \textit{M. Aduamoah} et al., BIT 62, No. 4, 1703--1743 (2022; Zbl 1502.35169) Full Text: DOI
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168 BIT 61, No. 3, 1061-1092 (2021). MSC: 65M06 65M12 65N06 65F08 65F10 65H10 15B05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., BIT 61, No. 3, 1061--1092 (2021; Zbl 1481.65168) Full Text: DOI arXiv
Crevat, Joachim; Filbet, Francis Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions. (English) Zbl 1507.65199 BIT 61, No. 3, 771-804 (2021). Reviewer: Philipp Öffner (Mainz) MSC: 65M75 65M70 65M06 35B40 35K57 35Q92 35Q83 35Q49 PDFBibTeX XMLCite \textit{J. Crevat} and \textit{F. Filbet}, BIT 61, No. 3, 771--804 (2021; Zbl 1507.65199) Full Text: DOI arXiv
Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals. (English) Zbl 1482.76008 BIT 61, No. 2, 607-644 (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 76A15 65F08 65N30 65N55 82D30 PDFBibTeX XMLCite \textit{J. Xia} et al., BIT 61, No. 2, 607--644 (2021; Zbl 1482.76008) Full Text: DOI arXiv
Henning, Patrick; Wärnegård, Johan A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. (English) Zbl 1460.35326 BIT 61, No. 1, 37-59 (2021). MSC: 35Q55 65M60 65M06 65M15 65M12 65N30 65H10 35B45 81Q05 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, BIT 61, No. 1, 37--59 (2021; Zbl 1460.35326) Full Text: DOI arXiv
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva Symplectic dynamical low rank approximation of wave equations with random parameters. (English) Zbl 1479.65009 BIT 60, No. 4, 1153-1201 (2020). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M70 65M06 35L05 37M15 65P10 35R60 PDFBibTeX XMLCite \textit{E. Musharbash} et al., BIT 60, No. 4, 1153--1201 (2020; Zbl 1479.65009) Full Text: DOI
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha A stabilised finite element method for the plate obstacle problem. (English) Zbl 1433.65295 BIT 59, No. 1, 97-124 (2019). MSC: 65N30 65K15 74S05 65N15 35Q74 74K20 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., BIT 59, No. 1, 97--124 (2019; Zbl 1433.65295) Full Text: DOI arXiv
Chesnel, Lucas; Claeys, Xavier A numerical approach for the Poisson equation in a planar domain with a small inclusion. (English) Zbl 1356.65235 BIT 56, No. 4, 1237-1256 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J05 65N12 65N15 35B25 PDFBibTeX XMLCite \textit{L. Chesnel} and \textit{X. Claeys}, BIT 56, No. 4, 1237--1256 (2016; Zbl 1356.65235) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Mazzia, Francesca; Sestini, Alessandra Bivariate hierarchical Hermite spline quasi-interpolation. (English) Zbl 1364.65026 BIT 56, No. 4, 1165-1188 (2016). Reviewer: Haydar Akca (Abu Dhabi) MSC: 65D05 65D07 PDFBibTeX XMLCite \textit{C. Bracco} et al., BIT 56, No. 4, 1165--1188 (2016; Zbl 1364.65026) Full Text: DOI arXiv Link
Collins, J. B.; Estep, D.; Tavener, S. A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques. (English) Zbl 1332.65120 BIT 55, No. 4, 1017-1042 (2015). MSC: 65L70 65L12 65L05 34A34 PDFBibTeX XMLCite \textit{J. B. Collins} et al., BIT 55, No. 4, 1017--1042 (2015; Zbl 1332.65120) Full Text: DOI
Dauge, Monique; Norton, Richard A.; Scheichl, Robert Regularity for Maxwell eigenproblems in photonic crystal fibre modelling. (English) Zbl 1311.35045 BIT 55, No. 1, 59-80 (2015). MSC: 35B65 35B15 35Q61 78A48 65M60 PDFBibTeX XMLCite \textit{M. Dauge} et al., BIT 55, No. 1, 59--80 (2015; Zbl 1311.35045) Full Text: DOI arXiv
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke A second-kind Galerkin boundary element method for scattering at composite objects. (English) Zbl 1316.65105 BIT 55, No. 1, 33-57 (2015). Reviewer: Gunther Schmidt (Berlin) MSC: 65N38 65N12 35J05 31A10 31B10 76Q05 76M15 PDFBibTeX XMLCite \textit{X. Claeys} et al., BIT 55, No. 1, 33--57 (2015; Zbl 1316.65105) Full Text: DOI
Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation. (English) Zbl 1301.35200 BIT 54, No. 3, 623-647 (2014). MSC: 35R11 65M06 65M55 PDFBibTeX XMLCite \textit{M. Chen} et al., BIT 54, No. 3, 623--647 (2014; Zbl 1301.35200) Full Text: DOI arXiv
Liu, Huipo; Gong, Wei; Wang, Shuanghu; Yan, Ningning Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems. (English) Zbl 1278.65171 BIT 53, No. 3, 665-687 (2013). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65N25 65N15 65N30 35P15 35Q30 65N12 PDFBibTeX XMLCite \textit{H. Liu} et al., BIT 53, No. 3, 665--687 (2013; Zbl 1278.65171) Full Text: DOI
Vabishchevich, Petr N. Splitting schemes for hyperbolic heat conduction equation. (English) Zbl 1278.65128 BIT 53, No. 3, 755-778 (2013). Reviewer: Jiguang Sun (Dover) MSC: 65M06 80A20 65M12 35L10 35K05 65M15 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, BIT 53, No. 3, 755--778 (2013; Zbl 1278.65128) Full Text: DOI arXiv
Jensen, Max; Målqvist, Axel Finite element convergence for the Joule heating problem with mixed boundary conditions. (English) Zbl 1266.65193 BIT 53, No. 2, 475-496 (2013). MSC: 65N30 PDFBibTeX XMLCite \textit{M. Jensen} and \textit{A. Målqvist}, BIT 53, No. 2, 475--496 (2013; Zbl 1266.65193) Full Text: DOI arXiv Link
Di Pietro, Daniele A.; Gratien, Jean-Marc; Prud’homme, Christophe A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes. (English) Zbl 1262.65148 BIT 53, No. 1, 111-152 (2013). MSC: 65N08 65N30 35J25 65N06 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., BIT 53, No. 1, 111--152 (2013; Zbl 1262.65148) Full Text: DOI
Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva Convex source support in three dimensions. (English) Zbl 1238.65108 BIT 52, No. 1, 45-63 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N21 35J05 35R30 78A70 92C55 PDFBibTeX XMLCite \textit{M. Hanke} et al., BIT 52, No. 1, 45--63 (2012; Zbl 1238.65108) Full Text: DOI
Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. (English) Zbl 1205.80084 BIT 50, No. 4, 781-795 (2010). Reviewer: Pavol Chocholatý (Bratislava) MSC: 80M10 65N30 35J60 PDFBibTeX XMLCite \textit{M. J. Holst} et al., BIT 50, No. 4, 781--795 (2010; Zbl 1205.80084) Full Text: DOI
Izadi, Mohammad A posteriori error estimates for the coupling equations of scalar conservation laws. (English) Zbl 1190.65138 BIT 49, No. 4, 697-720 (2009). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M15 65M60 35L65 PDFBibTeX XMLCite \textit{M. Izadi}, BIT 49, No. 4, 697--720 (2009; Zbl 1190.65138) Full Text: DOI
Teofanov, Ljiljana; Zarin, Helena Superconvergence analysis of a finite element method for a two-parameter singularly perturbed problem. (English) Zbl 1182.65164 BIT 49, No. 4, 743-765 (2009). MSC: 65N12 65N30 35J25 35B25 PDFBibTeX XMLCite \textit{L. Teofanov} and \textit{H. Zarin}, BIT 49, No. 4, 743--765 (2009; Zbl 1182.65164) Full Text: DOI
Emmrich, Etienne Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. (English) Zbl 1172.65026 BIT 49, No. 2, 297-323 (2009). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65J15 65M06 65M12 34G20 35K90 65M20 PDFBibTeX XMLCite \textit{E. Emmrich}, BIT 49, No. 2, 297--323 (2009; Zbl 1172.65026) Full Text: DOI
Hakula, H.; Hyvönen, N. On computation of test dipoles for factorization method. (English) Zbl 1167.78006 BIT 49, No. 1, 75-91 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A46 65N21 35J25 35R30 PDFBibTeX XMLCite \textit{H. Hakula} and \textit{N. Hyvönen}, BIT 49, No. 1, 75--91 (2009; Zbl 1167.78006) Full Text: DOI
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Stenberg, R. A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements. (English) Zbl 1143.74050 BIT 48, No. 2, 189-213 (2008). MSC: 74S05 74K20 65N15 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., BIT 48, No. 2, 189--213 (2008; Zbl 1143.74050) Full Text: DOI
Burman, Erik On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws. (English) Zbl 1133.65075 BIT 47, No. 4, 715-733 (2007). Reviewer: Othmar Koch (Baden) MSC: 65M60 65M12 35L65 35Q53 PDFBibTeX XMLCite \textit{E. Burman}, BIT 47, No. 4, 715--733 (2007; Zbl 1133.65075) Full Text: DOI Link
Layton, William Superconvergence of finite element discretization of time relaxation models of advection. (English) Zbl 1129.65061 BIT 47, No. 3, 565-576 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M60 65M15 35L45 PDFBibTeX XMLCite \textit{W. Layton}, BIT 47, No. 3, 565--576 (2007; Zbl 1129.65061) Full Text: DOI Link
Li, Zhi-Ping; Carstensen, Carsten An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems. (English) Zbl 1125.65059 BIT 47, No. 3, 601-611 (2007). MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{Z.-P. Li} and \textit{C. Carstensen}, BIT 47, No. 3, 601--611 (2007; Zbl 1125.65059) Full Text: DOI
Bellen, A.; Brunner, H.; Maset, S.; Torelli, L. Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays. (English) Zbl 1109.65112 BIT 46, No. 2, 229-247 (2006). Reviewer: Pat Lumb (Chester) MSC: 65R20 65L20 45J05 34K28 45G10 PDFBibTeX XMLCite \textit{A. Bellen} et al., BIT 46, No. 2, 229--247 (2006; Zbl 1109.65112) Full Text: DOI
Li, Zhiping The mesh transformation method and optimal finite element solutions. (English) Zbl 1093.65111 BIT 46, No. 1, 85-95 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N12 65N50 35J25 PDFBibTeX XMLCite \textit{Z. Li}, BIT 46, No. 1, 85--95 (2006; Zbl 1093.65111) Full Text: DOI
Jakobsen, E. R.; Karlsen, K. H. Convergence rates for semi-discrete splitting approximations for degenerate parabolic equations with source teams. (English) Zbl 1079.65094 BIT 45, No. 1, 37-67 (2005). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35L60 65M20 35K65 49J25 PDFBibTeX XMLCite \textit{E. R. Jakobsen} and \textit{K. H. Karlsen}, BIT 45, No. 1, 37--67 (2005; Zbl 1079.65094) Full Text: DOI
Anderssen, R. S.; de Hoog, F. R. On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions. (English) Zbl 0552.65065 BIT 24, 401-412 (1984). Reviewer: A.L.Andrew MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{R. S. Anderssen} and \textit{F. R. de Hoog}, BIT 24, 401--412 (1984; Zbl 0552.65065) Full Text: DOI