Andreianov, Boris; Cancès, Clément On interface transmission conditions for conservation laws with discontinuous flux of general shape. (English) Zbl 1336.35230 J. Hyperbolic Differ. Equ. 12, No. 2, 343-384 (2015). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35R05 65M08 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, J. Hyperbolic Differ. Equ. 12, No. 2, 343--384 (2015; Zbl 1336.35230) Full Text: DOI
Andreianov, Boris; Cancès, Clément A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. (English) Zbl 1393.76114 Comput. Geosci. 18, No. 2, 211-226 (2014). MSC: 76S05 35L02 35L65 65M08 76M12 76Txx PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Comput. Geosci. 18, No. 2, 211--226 (2014; Zbl 1393.76114) Full Text: DOI
Andreianov, Boris; Brenner, Konstantin; Cancès, Clément Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. (English) Zbl 1297.76152 ZAMM, Z. Angew. Math. Mech. 94, No. 7-8, 655-667 (2014). MSC: 76S05 76M12 76M10 76Txx PDFBibTeX XMLCite \textit{B. Andreianov} et al., ZAMM, Z. Angew. Math. Mech. 94, No. 7--8, 655--667 (2014; Zbl 1297.76152) Full Text: DOI HAL
Andreianov, Boris; Cancès, Clément Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. (English) Zbl 1392.76033 Comput. Geosci. 17, No. 3, 551-572 (2013). MSC: 76M12 35L02 35L65 65M08 76S05 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Comput. Geosci. 17, No. 3, 551--572 (2013; Zbl 1392.76033) Full Text: DOI
Andreianov, Boris; Cancès, Clément The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. (English) Zbl 1253.65122 Appl. Math. Lett. 25, No. 11, 1844-1848 (2012). MSC: 65M06 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Appl. Math. Lett. 25, No. 11, 1844--1848 (2012; Zbl 1253.65122) Full Text: DOI
Cancès, Clément Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. (English) Zbl 1171.76035 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 973-1001 (2009). MSC: 76M12 76S05 76T30 65M12 PDFBibTeX XMLCite \textit{C. Cancès}, ESAIM, Math. Model. Numer. Anal. 43, No. 5, 973--1001 (2009; Zbl 1171.76035) Full Text: DOI arXiv EuDML