Name
Title | ||
|---|---|---|
A Two-Grid Finite Element Method For Nonlinear Parabolic Integro-Differential Equations |
Abstract | ||
|---|---|---|
In this paper, we present a two-grid finite element method (FEM) for a two-dimensional nonlinear parabolic integro-differential equation. We solve a fully nonlinear system on a coarse grid space with a grid size H and derive a rough approximation of the exact solution, and then solve the corresponding linearized problem on a fine grid space with a grid size h. The optimal error estimates in -norm are obtained for spatially the semidiscrete two-grid FEM. Finally, numerical examples are given to testify the efficiency of the method. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1080/00207160.2018.1548699 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
Two-grid, nonlinear parabolic integro-differential equations, finite element method, error estimates | Differential equation,Nonlinear system,Mathematical analysis,Finite element method,Mathematics,Grid,Parabola | Journal |
Volume | Issue | ISSN |
96 | 10 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chuanjun Chen | 1 | 14 | 9.01 |
| Xiaoyan Zhang | 2 | 17 | 9.65 |
| guodong zhang | 3 | 1 | 4.06 |
| Yuanyuan Zhang | 4 | 210 | 37.02 |