Optimal error estimate for energy-preserving splitting schemes for Maxwell’s equations

作者：

Highlights：

• The proposed splitting schemes are energy-preserving and can be implemented explicitly.

• The difficulty of the convergence analysis is overcome by reconstructing the intermediate variables.

• We obtain the optimal error estimate of the proposed schemes.

摘要

•The proposed splitting schemes are energy-preserving and can be implemented explicitly.•The difficulty of the convergence analysis is overcome by reconstructing the intermediate variables.•We obtain the optimal error estimate of the proposed schemes.

论文关键词：Maxwell’s equations,Splitting method,Compact scheme,Error estimate,Optimal estimate

论文评审过程：Received 7 January 2018, Accepted 18 March 2018, Available online 10 April 2018, Version of Record 10 April 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.03.083