A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation
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Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-030-55347-0_38
Reference7 articles.
1. Benkhaldoun, F., Bradji, A.: Convergence analysis of a finite volume gradient scheme for a linear parabolic equation using characteristic methods. In: Lirkov, I., Margenov, S. (eds.) Large-Scale Scientific Computing. LSSC 2019. LNCS, vol. 11958. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-41032-2_65
2. Bradji, A.: An analysis for the convergence order of gradient schemes for semilinear parabolic equations. Comput. Math. Appl. 72(5), 1287–1304 (2016)
3. Bradji, A., Fuhrmann, J.: Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids. C. R. Math. Acad. Sci. Paris 348(19–20), 1119–1122 (2010)
4. Bradji, A., Fuhrmann, J.: Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. Appl. Math. 58(1), 1–38 (2013)
5. Eymard, R., Gallouët, T., Herbin, R.: Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes. IMA J. Numer. Anal. 30(4), 1009–1043 (2010)
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