Baccouch, Mahboub A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1428.65025 J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020). MSC: 65M12 65M60 65M15 65M50 35Q53 65L06 35C08 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020; Zbl 1428.65025) Full Text: DOI
Baccouch, Mahboub A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. (English) Zbl 1390.65094 Int. J. Comput. Math. 95, No. 4, 815-844 (2018). MSC: 65M12 65M15 65M60 65N12 65N30 35Q51 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Comput. Math. 95, No. 4, 815--844 (2018; Zbl 1390.65094) Full Text: DOI
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1380.65246 J. Comput. Appl. Math. 333, 292-313 (2018). MSC: 65M60 35L70 65M12 65M15 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Appl. Math. 333, 292--313 (2018; Zbl 1380.65246) Full Text: DOI
Baccouch, Mahboub Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation. (English) Zbl 1367.65139 Int. J. Comput. Math. 94, No. 2, 316-344 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M12 65M15 35Q51 35Q53 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Comput. Math. 94, No. 2, 316--344 (2017; Zbl 1367.65139) Full Text: DOI
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids. (English) Zbl 1355.65114 Appl. Numer. Math. 113, 124-155 (2017). MSC: 65M12 35L70 35G40 65M60 65M15 65M50 PDFBibTeX XMLCite \textit{M. Baccouch}, Appl. Numer. Math. 113, 124--155 (2017; Zbl 1355.65114) Full Text: DOI