Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423239 | Applied Numerical Mathematics | 2012 | 20 Pages |
Abstract
We present and analyze a multigrid algorithm for the acoustic single layer equation in two dimensions. The boundary element formulation of the equation is based on piecewise constant test functions and we make use of a weak inner product in the multigrid scheme as proposed in Bramble et al. (1994) [4]. A full error analysis of the algorithm is presented. We also conduct a numerical study of the effect of the weak inner product on the oscillatory behavior of the eigenfunctions for the Laplace single layer operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
S. Gemmrich, J. Gopalakrishnan, N. Nigam,