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Convergence analysis of a multigrid algorithm for the acoustic single layer equation
- Source :
- Applied Numerical Mathematics, electronic version 2012
- Publication Year :
- 2012
-
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 \cite{BLP94}. 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.
- Subjects :
- Mathematics - Numerical Analysis
Subjects
Details
- Database :
- arXiv
- Journal :
- Applied Numerical Mathematics, electronic version 2012
- Publication Type :
- Report
- Accession number :
- edsarx.1202.6083
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.apnum.2012.02.003