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

作者：Guermond Jean Luc^*; Popov Bojan^*

来源：SIAM Journal on Numerical Analysis, 2016, 54(1): 57-85.

DOI：10.1137/140990863

• conservation equations
• parabolic regularization
• entropy
• entropy solutions
• finite element method
• convergence analysis

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.

• 出版日期2016