Name
Abstract | ||
|---|---|---|
The Fat Boundary Method is a method of the Fictitious Domain class, which was proposed to solve elliptic problems in complex geometries with non-conforming meshes. It has been designed to recover optimal convergence at any order, despite of the non-conformity of the mesh, and without any change in the discrete Laplace operator on the simple shape domain. We propose here a detailed proof of this high-order convergence, and propose some numerical tests to illustrate the actual behaviour of the method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00211-010-0317-4 | Numerische Mathematik |
Keywords | Field | DocType |
discrete laplace operator,fictitious domain class,non-conforming mesh,discrete fat boundary method,complex geometries,detailed proof,actual behaviour,elliptic problem,optimal convergence,fat boundary method,high-order convergence,laplace operator | Convergence (routing),Mathematical optimization,Polygon mesh,Mathematical analysis,Fictitious domain method,Numerical analysis,Partial differential equation,Elliptic curve,Mathematics,Laplace operator,Discrete Laplace operator | Journal |
Volume | Issue | ISSN |
118 | 1 | 0945-3245 |
Citations | PageRank | References |
3 | 0.48 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Silvia Bertoluzza | 1 | 32 | 11.60 |
| Mourad E. H. Ismail | 2 | 75 | 25.95 |
| Bertrand Maury | 3 | 15 | 3.23 |