Le Roux, D. Y.; Hanert, E.; Rostand, V.; Pouliot, B. Impact of mass lumping on gravity and Rossby waves in 2D finite element shallow-water models. (English) Zbl 1156.76035 Int. J. Numer. Methods Fluids 59, No. 7, 767-790 (2009). MSC: 76M10 76B65 76B15 PDFBibTeX XMLCite \textit{D. Y. Le Roux} et al., Int. J. Numer. Methods Fluids 59, No. 7, 767--790 (2009; Zbl 1156.76035) Full Text: DOI
Rostand, Virgile; Le Roux, Daniel Y.; Carey, Graham Kernel analysis of the discretized finite difference and finite element shallow-water models. (English) Zbl 1191.35025 SIAM J. Sci. Comput. 31, No. 1, 531-556 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 76B15 76B47 76B65 74S20 74S05 65M06 PDFBibTeX XMLCite \textit{V. Rostand} et al., SIAM J. Sci. Comput. 31, No. 1, 531--556 (2008; Zbl 1191.35025) Full Text: DOI
Le Roux, Daniel Y.; Pouliot, Benoit Analysis of numerically induced oscillations in two-dimensional finite-element shallow-water models. II: Free planetary waves. (English) Zbl 1191.35024 SIAM J. Sci. Comput. 30, No. 4, 1971-1991 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35A35 65L60 76B65 65M60 PDFBibTeX XMLCite \textit{D. Y. Le Roux} and \textit{B. Pouliot}, SIAM J. Sci. Comput. 30, No. 4, 1971--1991 (2008; Zbl 1191.35024) Full Text: DOI
Djoumna, G.; Le Roux, D. Y.; Pierre, R. High-order \(C^1\) finite element interpolating schemes. II: Nonlinear semi-Lagrangian shallow-water models. (English) Zbl 1140.76017 Int. J. Numer. Methods Fluids 57, No. 11, 1629-1648 (2008). MSC: 76M10 76B15 76B65 86A05 PDFBibTeX XMLCite \textit{G. Djoumna} et al., Int. J. Numer. Methods Fluids 57, No. 11, 1629--1648 (2008; Zbl 1140.76017) Full Text: DOI
Rostand, V.; Le Roux, D. Y. Raviart-Thomas and Brezzi-Douglas-Marini finite element approximations of the shallow-water equations. (English) Zbl 1140.76022 Int. J. Numer. Methods Fluids 57, No. 8, 951-976 (2008). MSC: 76M10 76B15 76B65 PDFBibTeX XMLCite \textit{V. Rostand} and \textit{D. Y. Le Roux}, Int. J. Numer. Methods Fluids 57, No. 8, 951--976 (2008; Zbl 1140.76022) Full Text: DOI
Mohammadian, Abdolmajid M.; Le Roux, D. Y. Fourier analysis of a class of upwind schemes in shallow water systems for gravity and Rossby waves. (English) Zbl 1138.76051 Int. J. Numer. Methods Fluids 57, No. 4, 389-416 (2008). MSC: 76M12 76M25 76B15 76B65 PDFBibTeX XMLCite \textit{A. M. Mohammadian} and \textit{D. Y. Le Roux}, Int. J. Numer. Methods Fluids 57, No. 4, 389--416 (2008; Zbl 1138.76051) Full Text: DOI
Le Roux, D. Y.; Carey, G. F. Dispersion analysis of the least-squares finite-element shallow-water system. (English) Zbl 1033.76025 Int. J. Numer. Methods Fluids 42, No. 6, 607-622 (2003). MSC: 76M10 76B15 76B55 PDFBibTeX XMLCite \textit{D. Y. Le Roux} and \textit{G. F. Carey}, Int. J. Numer. Methods Fluids 42, No. 6, 607--622 (2003; Zbl 1033.76025) Full Text: DOI
Le Roux, Daniel Y. A new triangular finite element with optimum constraint ratio for compressible fluids. (English) Zbl 0997.76050 SIAM J. Sci. Comput. 23, No. 1, 66-80 (2001). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{D. Y. Le Roux}, SIAM J. Sci. Comput. 23, No. 1, 66--80 (2001; Zbl 0997.76050) Full Text: DOI