Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities

Details Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities

2010-04-07

arxiv.org/abs/1004.1025v1

Mathematics

Numerical Analysis

Scientific paper

This paper introduces a class of approximate transparent boundary conditions for the solution of Helmholtz-type resonance and scattering problems on unbounded domains. The computational domain is assumed to be a polygon. A detailed description of two variants of the Hardy space infinite element method which relays on the pole condition is given. The method can treat waveguide-type inhomogeneities in the domain with non-compact support. The results of the Hardy space infinite element method are compared to a perfectly matched layer method. Numerical experiments indicate that the approximation error of the Hardy space decays exponentially in the number of Hardy space modes.

Affiliated with

Also associated with

No associations

Rating

Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-396839