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- W4300033623 abstract "This note is devoted to the study of the finite volume methods used in the discretization of degenerate parabolic-hyperbolic equation with zero-flux boundary condition. The notion of an entropy-process solution, successfully used for the Dirichlet problem, is insufficient to obtain a uniqueness and convergence result because of a lack of regularity of solutions on the boundary. We infer the uniqueness of an entropy-process solution using the tool of the nonlinear semigroup theory by passing to the new abstract notion of integral-process solution. Then, we prove that numerical solution converges to the unique entropy solution as the mesh size tends to 0." @default.
- W4300033623 created "2022-10-03" @default.
- W4300033623 creator A5039672326 @default.
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- W4300033623 date "2014-02-21" @default.
- W4300033623 modified "2023-09-29" @default.
- W4300033623 title "Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition" @default.
- W4300033623 doi "https://doi.org/10.48550/arxiv.1402.5221" @default.
- W4300033623 hasPublicationYear "2014" @default.
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