A new domain decomposition method is presented for the exterior Helmholtz problem. The nonlocal Dirichlet-to-Neumann (DtN) map is used as a nonreflecting condition on the outer computational boundary. The computational domain is divided into nonoverlapping subdomains with Sommerfeld-type conditions
On the use of rational iterations and domain decomposition methods for the Helmholtz problem
β Scribed by Seongjai Kim
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 811 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
Overlapping balancing domain decomposition methods and their combination with restricted additive Schwarz methods are proposed for the Helmholtz equation. These new methods also extend previous work on non-overlapping balancing domain decomposition methods toward simplifying their coarse problems an
We present an iterative domain decomposition method to solve the Helmholtz equation and related optimal control problems. The tionally expresses that the control is optimal. This method proof of convergence of this method relies on energy techniques. actually solves at the same time the equations an