Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes

被引：0

作者：

Christophe Buet

Bruno Després

Emmanuel Franck

机构：

[1] CEA,Laboratoire Jacques

[2] DAM,Louis Lions

[3] DIF,undefined

[4] Université Pierre et Marie Curie,undefined

来源：

Numerische Mathematik | 2012年 / 122卷

关键词：

35L65; 65M08; 65M12;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose an asymptotic preserving nodal discretization of the hyperbolic heat equation, also known as the P1 equation, on unstructured meshes in 2-D. This method, in diffusive regime, overcomes the problem of the inconsistent limit with diffusion, of classical multidimensional extensions of 1-D asymptotic preserving schemes, based on edge formulation. We provide both theoretical and numerical results.

引用

页码：227 / 278

页数：51

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