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二阶双曲问题各向异性有限元的超收敛分析
Superconvergence Analysis of Anisotropic Finite Element in Second-order Hyperbolic Problem
【摘要】 克服传统有限元要求剖分网格满足正则假设(或拟一致假设)的限制,利用具有各向异性特征的双线性元对二阶双曲问题进行研究,并借助于积分恒等式技巧和插值后处理技术,得到了各向异性网格下的超逼近和超收敛分析.
【Abstract】 Avoiding the regularity assumption( or Quasi-uniform assumption) usage as a limitation in mesh division of finite elements,second-order hyperbolic problem was studied by using anisotropic bilinear element.With integral identity and the interpolation postprocessing techniques,superclose property and superconvergence were derived on anisotropic meshes.
- 【文献出处】 许昌学院学报 ,Journal of Xuchang University , 编辑部邮箱 ,2016年02期
- 【分类号】O241.82
- 【下载频次】17