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2016

Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations

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Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
This paper establishes a O(h 1 4 ) error estimate in the L∞ t (L1 x)-norm for the approximation of scalar conservation equations using an explicit continuous finite element technique. A general a priori error estimate based on entropy inequalities is also given in the Appendix. Key words. Conservation equations, parabolic regularization, entropy, entropy solutions, finite element method, convergence analysis. AMS subject classifications. 65M60, 35L65
Jean-Luc Guermond, Bojan Popov
Added 09 Apr 2016
Updated 09 Apr 2016
Type Journal
Year 2016
Where SIAMNUM
Authors Jean-Luc Guermond, Bojan Popov
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