Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

被引：3

作者：

Cui, Ming ^{[1
]}

Li, Yanfei ^{[1
]}

Yao, Changhui ^{[2
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Beijing 1000124, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2023年 / 15卷 / 03期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Energy conserving; the nonlinear coupled Klein-Gordon equations; unconditional superconvergence result; postprocessing interpolation; finite element method; WAVE-PROPAGATION; CONVERGENCE; SCHEME; APPROXIMATION; MODEL; TANH; FLOW; FEM;

D O I：

10.4208/aamm.OA-2021-0261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the energy conserving numerical scheme for cou-pled nonlinear Klein-Gordon equations. We propose energy conserving finite element method and get the unconditional superconvergence result O(h2+Delta t2) by using the er-ror splitting technique and postprocessing interpolation. Numerical experiments are carried out to support our theoretical results.

引用

页码：602 / 622

页数：21

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