Innerberger, Michael; Praetorius, Dirk MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. (English) Zbl 1511.65003 Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023). MSC: 65-04 65N30 65N50 68W30 PDFBibTeX XMLCite \textit{M. Innerberger} and \textit{D. Praetorius}, Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023; Zbl 1511.65003) Full Text: DOI arXiv
Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. (English) Zbl 1524.65767 Comput. Math. Appl. 131, 103-123 (2023). MSC: 65N30 65N15 35J25 65N50 35J05 65N12 74B10 PDFBibTeX XMLCite \textit{R. Bulle} et al., Comput. Math. Appl. 131, 103--123 (2023; Zbl 1524.65767) Full Text: DOI arXiv
Dolean, Victorita; Hecht, Frédéric; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri Recent advances in adaptive coarse spaces and availability in open source libraries. (English) Zbl 1514.65187 MathS In Action 11, 61-71 (2022). MSC: 65N50 65Y05 65N30 65F08 65F10 65-01 65-04 92C55 92C50 92C35 PDFBibTeX XMLCite \textit{V. Dolean} et al., MathS In Action 11, 61--71 (2022; Zbl 1514.65187) Full Text: DOI
Kolbe, Niklas; Sfakianakis, Nikolaos An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models. (English) Zbl 1503.65212 J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M50 65N50 65M08 65Y05 92C50 92C17 35Q31 35Q92 PDFBibTeX XMLCite \textit{N. Kolbe} and \textit{N. Sfakianakis}, J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022; Zbl 1503.65212) Full Text: DOI arXiv
Thune, Andreas; Cai, Xing; Rustad, Alf Birger On the impact of heterogeneity-aware mesh partitioning and non-contributing computation removal on parallel reservoir simulations. (English) Zbl 1485.76076 J. Math. Ind. 11, Paper No. 12, 23 p. (2021). MSC: 76T06 65M50 PDFBibTeX XMLCite \textit{A. Thune} et al., J. Math. Ind. 11, Paper No. 12, 23 p. (2021; Zbl 1485.76076) Full Text: DOI
Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K. Residual estimates for post-processors in elliptic problems. (English) Zbl 1493.65194 J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J25 35B45 PDFBibTeX XMLCite \textit{A. Dedner} et al., J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021; Zbl 1493.65194) Full Text: DOI arXiv
Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds. (English) Zbl 1460.65127 Appl. Numer. Math. 163, 108-125 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 65M15 65M50 65H10 80A19 35Q79 PDFBibTeX XMLCite \textit{V. D. Varma} et al., Appl. Numer. Math. 163, 108--125 (2021; Zbl 1460.65127) Full Text: DOI
Götschel, Sebastian; Schiela, Anton; Weiser, Martin Kaskade 7 – a flexible finite element toolbox. (English) Zbl 1524.65006 Comput. Math. Appl. 81, 444-458 (2021). MSC: 65-04 65N30 65M60 65N50 49M15 65K10 PDFBibTeX XMLCite \textit{S. Götschel} et al., Comput. Math. Appl. 81, 444--458 (2021; Zbl 1524.65006) Full Text: DOI
Bespalov, Alex; Rocchi, Leonardo; Silvester, David T-IFISS: a toolbox for adaptive FEM computation. (English) Zbl 1524.65004 Comput. Math. Appl. 81, 373-390 (2021). MSC: 65-04 65N30 65N15 65N50 35J25 35R60 97M50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 1524.65004) Full Text: DOI arXiv
Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver The Dune framework: basic concepts and recent developments. (English) Zbl 1524.65003 Comput. Math. Appl. 81, 75-112 (2021). MSC: 65-04 65N30 65N55 65M60 65N15 65N50 35R37 PDFBibTeX XMLCite \textit{P. Bastian} et al., Comput. Math. Appl. 81, 75--112 (2021; Zbl 1524.65003) Full Text: DOI arXiv
Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan Parallel finite volume computation on general meshes. (English) Zbl 1437.65003 Cham: Springer (ISBN 978-3-030-47231-3/hbk; 978-3-030-47232-0/ebook). xv, 186 p. (2020). MSC: 65-02 65M08 65N08 65M50 65N50 65Y05 65Z05 86-08 92-08 PDFBibTeX XMLCite \textit{Y. Vassilevski} et al., Parallel finite volume computation on general meshes. Cham: Springer (2020; Zbl 1437.65003) Full Text: DOI
Moxey, David; Amici, Roman; Kirby, Mike Efficient matrix-free high-order finite element evaluation for simplicial elements. (English) Zbl 1440.65223 SIAM J. Sci. Comput. 42, No. 3, C97-C123 (2020). MSC: 65N30 65N50 65N35 65Y05 68W10 35J05 PDFBibTeX XMLCite \textit{D. Moxey} et al., SIAM J. Sci. Comput. 42, No. 3, C97--C123 (2020; Zbl 1440.65223) Full Text: DOI
Dahmen, Wolfgang; Gruber, Felix; Mula, Olga An adaptive nested source term iteration for radiative transfer equations. (English) Zbl 1437.65183 Math. Comput. 89, No. 324, 1605-1646 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 65N50 35Q20 35P25 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Math. Comput. 89, No. 324, 1605--1646 (2020; Zbl 1437.65183) Full Text: DOI arXiv
Kane, Birane; Klöfkorn, Robert; Gersbacher, Christoph Hp-adaptive discontinuous Galerkin methods for porous media flow. (English) Zbl 1365.76159 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 447-456 (2017). MSC: 76M12 76M10 65M08 65M60 65M50 PDFBibTeX XMLCite \textit{B. Kane} et al., Springer Proc. Math. Stat. 200, 447--456 (2017; Zbl 1365.76159) Full Text: DOI
McRae, A. T. T.; Bercea, G.-T.; Mitchell, L.; Ham, D. A.; Cotter, C. J. Automated generation and symbolic manipulation of tensor product finite elements. (English) Zbl 1352.65615 SIAM J. Sci. Comput. 38, No. 5, S25-S47 (2016). MSC: 65N50 65N30 PDFBibTeX XMLCite \textit{A. T. T. McRae} et al., SIAM J. Sci. Comput. 38, No. 5, S25--S47 (2016; Zbl 1352.65615) Full Text: DOI arXiv
Semplice, M.; Coco, A.; Russo, G. Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. (English) Zbl 1335.65077 J. Sci. Comput. 66, No. 2, 692-724 (2016). MSC: 65M08 35L65 65M12 65M50 PDFBibTeX XMLCite \textit{M. Semplice} et al., J. Sci. Comput. 66, No. 2, 692--724 (2016; Zbl 1335.65077) Full Text: DOI arXiv
Faigle, Benjamin; Elfeel, Mohamed Ahmed; Helmig, Rainer; Becker, Beatrix; Flemisch, Bernd; Geiger, Sebastian Multi-physics modeling of non-isothermal compositional flow on adaptive grids. (English) Zbl 1423.76421 Comput. Methods Appl. Mech. Eng. 292, 16-34 (2015). MSC: 76S05 76M12 65M08 65M50 PDFBibTeX XMLCite \textit{B. Faigle} et al., Comput. Methods Appl. Mech. Eng. 292, 16--34 (2015; Zbl 1423.76421) Full Text: DOI
Kopera, Michal A.; Giraldo, Francis X. Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. (English) Zbl 1349.76226 J. Comput. Phys. 275, 92-117 (2014). MSC: 76M10 65M60 65M50 76N15 86A10 PDFBibTeX XMLCite \textit{M. A. Kopera} and \textit{F. X. Giraldo}, J. Comput. Phys. 275, 92--117 (2014; Zbl 1349.76226) Full Text: DOI
Nürnberg, Robert; Sacconi, Andrea An unfitted finite element method for the numerical approximation of void electromigration. (English) Zbl 1331.78027 J. Comput. Appl. Math. 270, 531-544 (2014). Reviewer: Georg Hebermehl (Berlin) MSC: 78M10 65N30 65N50 65N22 35R35 PDFBibTeX XMLCite \textit{R. Nürnberg} and \textit{A. Sacconi}, J. Comput. Appl. Math. 270, 531--544 (2014; Zbl 1331.78027) Full Text: DOI
Gander, Martin J.; Japhet, Caroline Algorithm 932: PANG: software for nonmatching grid projections in 2D and 3D with linear complexity. (English) Zbl 1295.65120 ACM Trans. Math. Softw. 40, No. 1, Article No. 6, 25 p. (2013). MSC: 65N50 65Y20 68W40 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{C. Japhet}, ACM Trans. Math. Softw. 40, No. 1, Article No. 6, 25 p. (2013; Zbl 1295.65120) Full Text: DOI
Deiterding, Ralf Block-structured adaptive mesh refinement – theory, implementation and application. (English) Zbl 1302.65220 ESAIM, Proc. 34, 97-150 (2011). MSC: 65M50 65M08 PDFBibTeX XMLCite \textit{R. Deiterding}, ESAIM, Proc. 34, 97--150 (2011; Zbl 1302.65220) Full Text: DOI
Gräser, Carsten; Sander, Oliver The DUNE-subgrid module and some applications. (English) Zbl 1179.65154 Computing 86, No. 4, 269-290 (2009). MSC: 65N50 65Y15 65N55 65M20 35K05 PDFBibTeX XMLCite \textit{C. Gräser} and \textit{O. Sander}, Computing 86, No. 4, 269--290 (2009; Zbl 1179.65154) Full Text: DOI
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. (English) Zbl 1151.65088 Computing 82, No. 2-3, 121-138 (2008). MSC: 65N30 65N50 65N55 65Y05 35J05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 121--138 (2008; Zbl 1151.65088) Full Text: DOI
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. (English) Zbl 1151.65089 Computing 82, No. 2-3, 103-119 (2008). MSC: 65N30 65N50 65N55 65Y05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 103--119 (2008; Zbl 1151.65089) Full Text: DOI