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

abstract

  • © 2016 Society for Industrial and Applied Mathematics. This paper establishes a O(h1/4) error estimate in the Lt∞(Lx1)-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.

author list (cited authors)

  • Guermond, J., & Popov, B.

publication date

  • January 1, 2016 11:11 AM