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arXiv · 1202.6083

Convergence analysis of a multigrid algorithm for the acoustic single layer equation

Simon Gemmrich·Jay Gopalakrishnan·Nilima Nigam
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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.

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Simon Gemmrich, Jay Gopalakrishnan, Nilima Nigam. 2012-02-27. Convergence analysis of a multigrid algorithm for the acoustic single layer equation. https://doi.org/10.1016/j.apnum.2012.02.003

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