Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
نویسندگان
چکیده
ERROR ESTIMATES OF A FIRST-ORDER LAGRANGE FINITE ELEMENT TECHNIQUE FOR NONLINEAR SCALAR CONSERVATION EQUATIONS∗ JEAN-LUC GUERMOND† AND BOJAN POPOV† Abstract. This paper establishes a O(h 1 4 ) error estimate in the L∞t (Lx)-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.
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 54 شماره
صفحات -
تاریخ انتشار 2016