Name
Abstract | ||
|---|---|---|
The element-free Galerkin (EFG) method with penalty for Stokes problems is proposed and analyzed in this work. A priori error estimates of the penalty method, which is used to deal with Dirichlet boundary conditions, are derived to illustrate its validity in a continuous sense. Based on a feasible assumption, it is proved that there is a unique weak solution in the modified weak form of penalized Stokes problems. Then, the error bounds with the penalty factor for the EFG discretization are derived, which provide a rationale for choosing an efficient penalty factor. Numerical examples are given to confirm the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.3390/e24081072 | ENTROPY |
Keywords | DocType | Volume |
meshless methods, element-free Galerkin method, Stokes problems, error estimate | Journal | 24 |
Issue | ISSN | Citations |
8 | 1099-4300 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tao Zhang | 1 | 422 | 100.57 |
| Xiaolin Li | 2 | 4 | 1.54 |