Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes

Buet, Christophe; Després, Bruno; Franck, Emmanuel; Leroy, Thomas

doi:10.1090/mcom/3131

Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes
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by Christophe Buet, Bruno Després, Emmanuel Franck and Thomas Leroy PDF

Math. Comp. 86 (2017), 1147-1202 Request permission

Abstract:

We prove the uniform AP convergence on unstructured meshes in 2D of a generalization of the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal extension in 2D of the Jin-Levermore scheme for the 1D case. In 2D, the proof is performed using a new diffusion scheme.

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