Droniou, J; Eymard, R; Gallouët, T; Guichard, C; Herbin, R Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity. arXiv:2308.10703 Preprint, arXiv:2308.10703 [math.NA] (2023). BibTeX Cite \textit{J Droniou} et al., ``Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity'', Preprint, arXiv:2308.10703 [math.NA] (2023) Full Text: arXiv OA License
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle An introduction to the gradient discretisation method. (English) Zbl 1427.65358 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 451-459 (2018). MSC: 65N30 65N08 65N06 35J47 65N15 65N12 PDFBibTeX XMLCite \textit{J. Droniou} et al., Lect. Notes Comput. Sci. Eng. 126, 451--459 (2018; Zbl 1427.65358) Full Text: DOI
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle The gradient discretisation method. (English) Zbl 1435.65005 Mathématiques & Applications (Berlin) 82. Cham: Springer (ISBN 978-3-319-79041-1/pbk; 978-3-319-79042-8/ebook). xxiv, 497 p. (2018). Reviewer: Petr Sváček (Praha) MSC: 65-02 65M12 65M15 65M60 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{J. Droniou} et al., The gradient discretisation method. Cham: Springer (2018; Zbl 1435.65005) Full Text: DOI HAL
Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. An error estimate for the approximation of linear parabolic equations by the gradient discretization method. (English) Zbl 1372.65256 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 371-379 (2017). MSC: 65M15 65M60 65M12 PDFBibTeX XMLCite \textit{J. Droniou} et al., Springer Proc. Math. Stat. 199, 371--379 (2017; Zbl 1372.65256) Full Text: DOI HAL
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. TP or not TP, that is the question. (English) Zbl 1378.76118 Comput. Geosci. 18, No. 3-4, 285-296 (2014). MSC: 76T10 76M12 76M10 65M08 65M12 65M60 76S05 PDFBibTeX XMLCite \textit{R. Eymard} et al., Comput. Geosci. 18, No. 3--4, 285--296 (2014; Zbl 1378.76118) Full Text: DOI
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. (English) Zbl 1297.76159 ZAMM, Z. Angew. Math. Mech. 94, No. 7-8, 560-585 (2014). MSC: 76S05 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{R. Eymard} et al., ZAMM, Z. Angew. Math. Mech. 94, No. 7--8, 560--585 (2014; Zbl 1297.76159) Full Text: DOI
Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy Gradient schemes for the Stefan problem. (English) Zbl 1482.65162 Int. J. Finite Vol. 10, Article ID hal-00751555, 37 p. (2013). MSC: 65M08 76Nxx 76T10 PDFBibTeX XMLCite \textit{R. Eymard} et al., Int. J. Finite Vol. 10, Article ID hal-00751555, 37 p. (2013; Zbl 1482.65162) Full Text: HAL
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle Small-stencil 3D schemes for diffusive flows in porous media. (English) Zbl 1271.76324 ESAIM, Math. Model. Numer. Anal. 46, No. 2, 265-290 (2012). MSC: 76S05 65N30 65N08 PDFBibTeX XMLCite \textit{R. Eymard} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 2, 265--290 (2012; Zbl 1271.76324) Full Text: DOI
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland Vertex centred discretization of two-phase Darcy flows on general meshes. (English) Zbl 1357.76037 ESAIM, Proc. 35, 59-78 (2012). MSC: 76M10 76M12 76S05 65M08 65M60 35L04 35J25 PDFBibTeX XMLCite \textit{R. Eymard} et al., ESAIM, Proc. 35, 59--78 (2012; Zbl 1357.76037) Full Text: DOI
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle Benchmark 3D: the VAG scheme. (English) Zbl 1246.76084 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 1013-1022 (2011). MSC: 76M12 PDFBibTeX XMLCite \textit{R. Eymard} et al., Springer Proc. Math. 4, 1013--1022 (2011; Zbl 1246.76084) Full Text: DOI
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland Multiphase flow in porous media using the VAG scheme. (English) Zbl 1246.76085 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 409-417 (2011). MSC: 76M12 76S05 76T99 65M08 PDFBibTeX XMLCite \textit{R. Eymard} et al., Springer Proc. Math. 4, 409--417 (2011; Zbl 1246.76085) Full Text: DOI