| Autor: |
Wang Keyan |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Open Mathematics, Vol 22, Iss 1, Pp 90-116 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2391-5455 |
| DOI: |
10.1515/math-2024-0048 |
| Popis: |
In this article, we present a scheme for solving two-dimensional hyperbolic equation using an expanded mixed finite element method. To solve the resulting nonlinear expanded mixed finite element system more efficiently, we propose a two-step two-grid algorithm. Numerical stability and error estimate are proved on both the coarse grid and fine grid. It is shown that the two-grid method can achieve asymptotically optimal approximation as long as the coarse grid size HH and the fine grid size hh satisfy h=O(H(2k+1)⁄(k+1))h={\mathcal{O}}\left({H}^{\left(2k+1)/\left(k+1)}) (k≥1k\ge 1), where kk is the degree of the approximating space for the primary variable. Numerical experiment is presented to demonstrate the accuracy and the efficiency of the proposed method. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
