Solution of the 3D-Helmholtz equation in exterior domains of arbitrary shape using HP-finite infinite elements
Open access
Author
Date
1996-12Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
This work is devoted to a convergence and performance study of finite-infinite element discretizations for the Helmholtz equation in exterior domains of arbitrary shape. The proposed approximation applies to arbitrary geometries, combining an emhp/em FE discretization between the object and a surrounding sphere and an {\em hp} Infinite Element (IE) discretization outside the sphere with a spectral-like representation (resulting from the separation of variables) in the "radial" direction. The described approximation is an extension of our earlier work, which was restricted to domains with separable geometry. The numerical experiments are confined to these geometrical configurations: a sphere, a (finite) cylinder, and a cylinder with spherical incaps, all within a truncating sphere. The sphere problem admits an exact solution and serves as a basis for the convergence study. Solutions to the other two problems are compared with those obtained using the Boundary Element Method. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004284876Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
More
Show all metadata
ETH Bibliography
yes
Altmetrics