Name
Title | ||
|---|---|---|
A Multiscale Numerical Method for Poisson Problems in Some Ramified Domains with a Fractal Boundary |
Abstract | ||
|---|---|---|
We consider some elliptic boundary value problems in a self-similar ramified domain of R-2 with a fractal boundary with Laplace's equation and nonhomogeneous Neumann boundary conditions. The goal is to approximate the restriction of the solutions to subdomains obtained by stopping the geometric construction after a finite number of steps. For this, we propose a multiscale strategy based on transparent boundary conditions and on a wavelet expansion of the Neumann datum. A self-similar finite element method is proposed and tested. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/05064583X | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
self-similar domain,fractal boundary,partial differential equations | Boundary knot method,Boundary value problem,Robin boundary condition,Mathematical analysis,Poincaré–Steklov operator,Free boundary problem,Singular boundary method,Neumann boundary condition,Mathematics,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
5 | 3 | 1540-3459 |
Citations | PageRank | References |
2 | 0.92 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yves Achdou | 1 | 197 | 32.74 |
| Christophe Sabot | 2 | 4 | 1.58 |
| Nicoletta Tchou | 3 | 9 | 4.16 |