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On a cell entropy inequality for discontinuous Galerkin methods

Authors: Guang Shan Jiang and Chi-Wang Shu
Journal: Math. Comp. 62 (1994), 531-538
MSC: Primary 65M60; Secondary 35L65, 65M12
MathSciNet review: 1223232
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Abstract: We prove a cell entropy inequality for a class of high-order discontinuous Galerkin finite element methods approximating conservation laws, which implies convergence for the one-dimensional scalar convex case.

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Keywords: Conservation law, discontinuous Galerkin, entropy condition, convergence
Article copyright: © Copyright 1994 American Mathematical Society

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