Biezemans, Rutger A.; Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei Non-intrusive implementation of multiscale finite element methods: an illustrative example. (English) Zbl 07652807 J. Comput. Phys. 477, Article ID 111914, 10 p. (2023). MSC: 65Nxx 35Jxx 35Bxx PDFBibTeX XMLCite \textit{R. A. Biezemans} et al., J. Comput. Phys. 477, Article ID 111914, 10 p. (2023; Zbl 07652807) Full Text: DOI arXiv
Gorynina, Olga; Le Bris, Claude; Legoll, Frederic Some remarks on a coupling method for the practical computation of homogenized coefficients. (English) Zbl 1465.35267 SIAM J. Sci. Comput. 43, No. 2, A1273-A1304 (2021). MSC: 35J99 35B27 74Q15 PDFBibTeX XMLCite \textit{O. Gorynina} et al., SIAM J. Sci. Comput. 43, No. 2, A1273--A1304 (2021; Zbl 1465.35267) Full Text: DOI arXiv
Le Bris, Claude; Legoll, Frédéric; Lemaire, Simon On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators. (English) Zbl 1419.35020 ESAIM, Control Optim. Calc. Var. 24, No. 4, 1345-1380 (2018). MSC: 35J25 35B27 74Q15 PDFBibTeX XMLCite \textit{C. Le Bris} et al., ESAIM, Control Optim. Calc. Var. 24, No. 4, 1345--1380 (2018; Zbl 1419.35020) Full Text: DOI arXiv
Bal, Guillaume (ed.); Engquist, Björn (ed.); Le Bris, Claude (ed.); Owhadi, Houman (ed.) Interplay of theory and numerics for deterministic and stochastic homogenization. Abstracts from the workshop held March 17–23, 2013. (English) Zbl 1349.00048 Oberwolfach Rep. 10, No. 1, 801-865 (2013). MSC: 00B05 00B25 35-06 35A15 35A35 35J60 49S05 65C05 35B27 74Q15 PDFBibTeX XMLCite \textit{G. Bal} (ed.) et al., Oberwolfach Rep. 10, No. 1, 801--865 (2013; Zbl 1349.00048) Full Text: DOI
Le Bris, Claude; Lelièvre, Tony Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. (English) Zbl 1377.76006 Sci. China, Math. 55, No. 2, 353-384 (2012). MSC: 76A10 76M35 PDFBibTeX XMLCite \textit{C. Le Bris} and \textit{T. Lelièvre}, Sci. China, Math. 55, No. 2, 353--384 (2012; Zbl 1377.76006) Full Text: DOI arXiv
Blanc, X.; Le Bris, C.; Legoll, F.; Patz, C. Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches. (English) Zbl 1204.37081 J. Nonlinear Sci. 20, No. 2, 241-275 (2010). Reviewer: George Stoica (Saint John) MSC: 37M25 60F10 PDFBibTeX XMLCite \textit{X. Blanc} et al., J. Nonlinear Sci. 20, No. 2, 241--275 (2010; Zbl 1204.37081) Full Text: DOI Link
Le Bris, Claude; Lelièvre, Tony Multiscale modelling of complex fluids: a mathematical initiation. (English) Zbl 1157.76002 Engquist, Björn (ed.) et al., Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Berlin: Springer (ISBN 978-3-540-88856-7/pbk; 978-3-540-88857-4/ebook). Lecture Notes in Computational Science and Engineering 66, 49-137 (2009). MSC: 76A05 PDFBibTeX XMLCite \textit{C. Le Bris} and \textit{T. Lelièvre}, Lect. Notes Comput. Sci. Eng. 66, 49--137 (2009; Zbl 1157.76002) Full Text: DOI Link
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case. (English) Zbl 1177.65091 Acta Math. Appl. Sin., Engl. Ser. 23, No. 2, 209-216 (2007). MSC: 65K10 49J15 49M25 74G15 74G70 74N15 PDFBibTeX XMLCite \textit{X. Blanc} et al., Acta Math. Appl. Sin., Engl. Ser. 23, No. 2, 209--216 (2007; Zbl 1177.65091) Full Text: DOI
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis Atomistic to continuum limits for computational materials science. (English) Zbl 1144.82018 ESAIM, Math. Model. Numer. Anal. 41, No. 2, 391-426 (2007). Reviewer: Agneta Balint (Timişoara) MSC: 82B21 81V45 PDFBibTeX XMLCite \textit{X. Blanc} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 2, 391--426 (2007; Zbl 1144.82018) Full Text: DOI Numdam EuDML
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix Long-time asymptotics of a multiscale model for polymeric fluid flows. (English) Zbl 1089.76006 Arch. Ration. Mech. Anal. 181, No. 1, 97-148 (2006). MSC: 76A05 35Q35 82D60 PDFBibTeX XMLCite \textit{B. Jourdain} et al., Arch. Ration. Mech. Anal. 181, No. 1, 97--148 (2006; Zbl 1089.76006) Full Text: DOI