Error estimates of the lumped mass finite element method for semilinear elliptic problems |
| |
| Authors: | Jin-ping ZengHai-xiong Yu |
| |
| Institution: | a College of Computer, Dongguan University of Technology, Dongguan, Guangdong 523808, People’s Republic of Chinab Department of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, People’s Republic of China |
| |
| Abstract: | We are concerned with the semilinear elliptic problems. We first investigate the L2-error estimate for the lumped mass finite element method. We then use the cascadic multigrid method to solve the corresponding discrete problem. On the basis of the finite element error estimates, we prove the optimality of the proposed multigrid method. We also report some numerical results to support the theory. |
| |
| Keywords: | 65N12 65N30 65N55 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
