A posteriori error estimation for the Lax–Wendroff finite difference scheme

作者：

Highlights：

• Formulation of the Lax–Wendroff difference scheme for conservation laws as a finite element method.

• Goal oriented a posteriori error estimate for the Lax–Wendroff finite difference scheme.

• Investigation of accuracy of the computational error estimate.

摘要

•Formulation of the Lax–Wendroff difference scheme for conservation laws as a finite element method.•Goal oriented a posteriori error estimate for the Lax–Wendroff finite difference scheme.•Investigation of accuracy of the computational error estimate.

论文关键词：Burgers equation,Conservation law,Finite difference scheme,A posteriori error estimate,Dual problem

论文评审过程：Received 11 April 2013, Revised 3 November 2013, Available online 21 December 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.12.035