Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition |
| |
| Authors: | Dong-yang Shi Zhi-yan Li |
| |
| Affiliation: | [1]Department of Mathematics, Zhengzhou Univercity, Zhengzhou 450052, China [2]Department of Mathematics, Handan College, Handan 056005, China |
| |
| Abstract: | This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition.The superclose property is derived through interpolation instead of the nonlinear H1 projection and integral identity technique.Meanwhile,the global superconvergence is obtained based on the interpolated postprocessing techniques. |
| |
| Keywords: | nonlinear hyperbolic equation nonlinear boundary condition superconvergence postprocessing technique |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
