Name
Title | ||
|---|---|---|
Nonconforming Quasi-Wilson Finite Element Approximation For The Nonlinear Rosenau Equation |
Abstract | ||
|---|---|---|
The nonconforming Quasi-Wilson element is applied to analyze the superconvergence behavior of the fourth-order Rosenau equation by mixed finite element method (FEM). The Crank-Nicolson (CN) fully discrete scheme is developed, and the stability, existence and uniqueness of approximate solution are proved. Further, the superconvergence estimates of order O(h(2)+ tau(2)) for the related variables in the broken H-1-norm are derived. At last, the correctness of theoretical analysis is validated by numerical experiments. Here and later, h and tau are the mesh size and time step, respectively. (C) 2021 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.aml.2021.107238 | APPLIED MATHEMATICS LETTERS |
Keywords | DocType | Volume |
Mixed FEM, Quasi-Wilson element, CN fully-discrete scheme, Superconvergence results | Journal | 119 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dongyang Shi | 1 | 0 | 1.69 |
| Xu Jia | 2 | 0 | 0.34 |