ERROR ESTIMATES OF A FIRST-ORDER LAGRANGE FINITE ELEMENT TECHNIQUE FOR NONLINEAR SCALAR CONSERVATION EQUATIONS

摘要

This paper establishes a O(h(1/4)) error estimate in the L-t(infinity)(L-x(1))-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.