Publication | Open Access
On a Cell Entropy Inequality for Discontinuous Galerkin Methods
163
Citations
15
References
1994
Year
Numerical AnalysisFinite Element MethodCell Entropy InequalityEngineeringVariational AnalysisEntropyHyperbolic Conservation LawConservation LawsNonlinear Hyperbolic ProblemFunctional AnalysisApproximation TheoryBoundary Element MethodNumerical Method For Partial Differential Equation
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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