The eigenvalue problem for the Laplace operator is numerical investigated using the boundary integral equation (BIE) formulation. Three methods of discretization are given and illustrated with numerical examples.
An improved domain decomposition method for the 3D Helmholtz equation
β Scribed by A. Piacentini; N. Rosa
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 728 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
A Galerkin-Legendre spectral method for the direct solution of Poisson and Helmholtz equations in a three-dimensional rectangular domain is presented. The method extends Jie Shen's algorithm for 2D problems by using the diagonalization of the three mass matrices in the three spatial directions and f