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

• Type: Journal
• Year: 2016
• Where: SIAMNUM
• Authors: Jean-Luc Guermond, Bojan Popov
• Keywords: Computer Graphics, SIAMNUM 2016