Extrapolation cascadic multigrid method on piecewise uniform grid |
| |
| Authors: | ChuanMiao Chen HongLing Hu |
| |
| Institution: | 1. College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, Changsha, 410081, China
|
| |
| Abstract: | The triangular linear finite elements on piecewise uniform grid for an elliptic problem in convex polygonal domain are discussed. Global superconvergence in discrete H 1-norm and global extrapolation in discrete L 2-norm are proved. Based on these global estimates the conjugate gradient method (CG) is effective, which is applied to extrapolation cascadic multigrid method (EXCMG). The numerical experiments show that EXCMG is of the global higher accuracy for both function and gradient. |
| |
| Keywords: | |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
