Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
โ Scribed by Leszek Demkowicz; Frank Ihlenburg
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 283 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
This work is devoted to a study and summary of different Infinite Element (IE) formulations for Helmholtz problems in arbitrary exterior domains. The theoretical setting for each of the different formulations is presented and related to the mathematical existence theory. The influence of a bilinear
## Abstract The theory for coupling of mapped wave infinite elements and special wave finite elements for the solution of the Helmholtz equation in unbounded domains is presented. Mapped wave infinite elements can be applied to boundaries of arbitrary shape for exterior wave problems without trunca
A priori error estimates in the H 1 -and L 2 -norms are established for the finite element method applied to the exterior Helmholtz problem, with modified Dirichlet-to-Neumann (MDtN) boundary condition. The error estimates include the effect of truncation of the MDtN boundary condition as well as th