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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems
| Content Provider | MDPI |
|---|---|
| Author | Zhang, Tao Li, Xiaolin |
| Copyright Year | 2022 |
| Description | 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. |
| Starting Page | 1072 |
| e-ISSN | 10994300 |
| DOI | 10.3390/e24081072 |
| Journal | Entropy |
| Issue Number | 8 |
| Volume Number | 24 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-08-03 |
| Access Restriction | Open |
| Subject Keyword | Entropy Meshless Methods Element-free Galerkin Method Stokes Problems Error Estimate |
| Content Type | Text |
| Resource Type | Article |
