|
| 摘要: |
| 本文研究了非线性Klein-Gordon方程问题，利用Crank-Nicolson变网格非协调有限元方法，不需要传统的Riesz投影算子，利用插值技巧和单元的特殊性质，得到了相应的收敛性分析和最优误差估计. |
| 关键词: Klein-Gordon方程 各向异性 变网格 非协调 Crank-Nicolson格式 |
| DOI： |
| 分类号:O241.21 |
| 基金项目:Supported by Educational Commission of Henan Province (19A110031). |
|
| NONCONFORMING FINITE ELEMENT METHOD FOR THE NONLINEAR KLEIN-GORDON EQUATION WITH MOVING GRIDS |
|
ZHANG Fei-ran,ZHU Yan
|
| Abstract: |
| In this paper, the nonlinear Klein-Gordon equation is studied. By using the Crank-Nicolson moving grid nonconforming finite element method, the traditional Riesz projection operator is not needed, interpolation techniques and special properties of the element are used to obtain the corresponding convergence analysis and optimal error estimation. |
| Key words: Klein-Gordon equation anisotropy moving grids nonconforming CrankNicolson scheme |
