Chainais-Hillairet, Claire; Herda, Maxime; Lemaire, Simon; Moatti, Julien Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. (English) Zbl 1501.65049 Numer. Math. 151, No. 4, 963-1016 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 35K51 35B40 35B09 35A01 35A02 35Q84 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., Numer. Math. 151, No. 4, 963--1016 (2022; Zbl 1501.65049) Full Text: DOI arXiv
Bessemoulin-Chatard, M.; Chainais-Hillairet, C. Uniform-in-time bounds for approximate solutions of the drift-diffusion system. (English) Zbl 1412.65066 Numer. Math. 141, No. 4, 881-916 (2019). MSC: 65M06 82D37 65N08 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{C. Chainais-Hillairet}, Numer. Math. 141, No. 4, 881--916 (2019; Zbl 1412.65066) Full Text: DOI
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. (English) Zbl 1376.82105 J. Numer. Math. 25, No. 3, 147-168 (2017). MSC: 82D37 65M08 82-08 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{C. Chainais-Hillairet}, J. Numer. Math. 25, No. 3, 147--168 (2017; Zbl 1376.82105) Full Text: DOI arXiv
Chainais-Hillairet, Claire; Gallouët, Thomas O. Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation. (English) Zbl 1352.35173 Nonlinear Anal., Real World Appl. 31, 38-56 (2016). Reviewer: Rainer Picard (Dresden) MSC: 35Q60 78A35 78M12 65M08 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} and \textit{T. O. Gallouët}, Nonlinear Anal., Real World Appl. 31, 38--56 (2016; Zbl 1352.35173) Full Text: DOI HAL
Chainais-Hillairet, Claire; Colin, Pierre-Louis; Lacroix-Violet, Ingrid Convergence of a finite volume scheme for a corrosion model. (English) Zbl 1490.65165 Int. J. Finite Vol. 12, Article ID hal-010820413, 27 p. (2015). MSC: 65M08 65M12 82D37 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., Int. J. Finite Vol. 12, Article ID hal-010820413, 27 p. (2015; Zbl 1490.65165) Full Text: HAL
Chainais-Hillairet, Claire; Lacroix-Violet, Ingrid On the existence of solutions for a drift-diffusion system arising in corrosion modeling. (English) Zbl 1304.35331 Discrete Contin. Dyn. Syst., Ser. B 20, No. 1, 77-92 (2015). MSC: 35K51 35A01 35B45 35B65 35D30 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} and \textit{I. Lacroix-Violet}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 1, 77--92 (2015; Zbl 1304.35331) Full Text: DOI arXiv
Chainais-Hillairet, Claire Entropy method and asymptotic behaviours of finite volume schemes. (English) Zbl 1305.65194 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. I. Cham: Springer (ISBN 978-3-319-05683-8/hbk; 978-3-319-05684-5/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 77, 17-35 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet}, Springer Proc. Math. Stat. 77, 17--35 (2014; Zbl 1305.65194) Full Text: DOI
Chainais-Hillairet, Claire; Lacroix-Violet, Ingrid The existence of solutions to a corrosion model. (English) Zbl 1252.82111 Appl. Math. Lett. 25, No. 11, 1784-1789 (2012). MSC: 82D35 82D37 78A57 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} and \textit{I. Lacroix-Violet}, Appl. Math. Lett. 25, No. 11, 1784--1789 (2012; Zbl 1252.82111) Full Text: DOI
Chainais-Hillairet, Claire; Peng, Yue-Jue; Violet, Ingrid Numerical solutions of Euler-Poisson systems for potential flows. (English) Zbl 1157.78363 Appl. Numer. Math. 59, No. 2, 301-315 (2009). MSC: 78M25 82D37 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., Appl. Numer. Math. 59, No. 2, 301--315 (2009; Zbl 1157.78363) Full Text: DOI
Chainais-Hillairet, Claire; Bataillon, Christian Mathematical and numerical study of a corrosion model. (English) Zbl 1146.78011 Numer. Math. 110, No. 1, 1-25 (2008). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M25 78A25 35J05 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} and \textit{C. Bataillon}, Numer. Math. 110, No. 1, 1--25 (2008; Zbl 1146.78011) Full Text: DOI
Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. (English) Zbl 1032.82038 M2AN, Math. Model. Numer. Anal. 37, No. 2, 319-338 (2003). MSC: 82D37 76X05 65M60 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., M2AN, Math. Model. Numer. Anal. 37, No. 2, 319--338 (2003; Zbl 1032.82038) Full Text: DOI Numdam EuDML