【摘要】 传统有限元方法要求对区域剖分满足正则性条件或拟一致条件.对一类抛物问题,可通过利用各向异性线性三角形元,绕开区域剖分中正则性或拟一致条件的限制,结合变网格思想,导出全离散的线性三角形有限元格式,得到相应的最优误差估计.更多还原

【Abstract】 The classical finite element method needs the meshes of triangulation satisfying the regular or quasi-uniform assumption. By using anisotropic finite element, a class of parabolic problem is studied without the regular or quasi-uniform assumption on meshes. At the same time, by combining the moving grid techniques, anisotropic element approximate scheme of the linear triangle are given, and the optimal error estimates are obtained.更多还原