Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633726 | Applied Mathematics and Computation | 2009 | 13 Pages |
Abstract
A new quadratic Hermite-type triangular finite element is conceived to solve a class of two-dimensional second-order elliptic boundary value problems. Its error estimates on anisotropic meshes are developed. Furthermore, we verify that some conditions set to the meshes contribute to the proof of its superconvergence properties, which can improve the approximation results. Numerical examples are given to confirm our theoretical analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dongyang Shi, Hui Liang,