Name
Title | ||
|---|---|---|
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. |
Abstract | ||
|---|---|---|
The Helmholtz equation governing wave propagation and scattering phenomena is difficult to solve numerically. Its discretization with piecewise linear finite elements results in typically large linear systems of equations. The inherently parallel domain decomposition methods constitute hence a promising class of preconditioners. An essential element of these methods is a good coarse space. Here, the Helmholtz equation presents a particular challenge, as even slight deviations from the optimal choice can be devastating. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2014.03.031 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Helmholtz equation,Domain decomposition,Coarse space,Dirichlet-to-Neumann operator | Discretization,Mathematical optimization,Linear system,Mathematical analysis,Helmholtz free energy,Finite element method,Helmholtz equation,Operator (computer programming),Piecewise linear function,Domain decomposition methods,Mathematics | Journal |
Volume | ISSN | Citations |
271 | 0377-0427 | 1 |
PageRank | References | Authors |
0.43 | 17 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lea Conen | 1 | 1 | 0.43 |
| Victorita Dolean | 2 | 120 | 12.31 |
| Rolf Krause | 3 | 1 | 0.77 |
| Frédéric Nataf | 4 | 248 | 29.13 |