Name
Abstract | ||
|---|---|---|
Moving mesh methods are a widely used approach in the numerical solution of PDEs where the original PDEs are transformed from a physical domain to a computational domain. The objective is to utilize a uniform mesh in the computational domain to get a non-uniform physical mesh that better captures the behavior of the solution. The movement of the physical mesh points can be governed by a moving mesh PDE associated with a corresponding monitor function and both the original PDEs and the moving mesh PDEs must be solved simultaneously. The motivation for this paper is to study a balanced moving mesh method, where the aim is to strike a balance between the properties of the solution of the original PDE and that of the moving mesh PDE. We focus on particular choices of the monitor function that give both a well-behaved mesh transformation and a well-behaved solution in the computational domain. Both theoretical analysis and numerical experiments are presented as illustrations. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.09.041 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
well-behaved mesh transformation,uniform mesh,numerical solution,mesh pde,non-uniform physical mesh,original pdes,mesh method,mesh pdes,computational domain,physical mesh point,partial differential equations | Laplacian smoothing,Mathematical optimization,Monitor function,Partial differential equation,Mathematics,Mesh generation | Journal |
Volume | ISSN | Citations |
265 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joan Remski | 1 | 0 | 0.68 |
| Jingyan Zhang | 2 | 18 | 2.23 |
| Qiang Du | 3 | 1692 | 188.27 |