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Convergence analysis of geometrical multigrid methods for solving data-sparse boundary element equations

By U. Langer, D. Pusch and Johannes Kepler


The convergence analysis of multigrid methods for boundary element equations arising from negative-order pseudo-differential operators is quite different from the usual finite element multigrid analysis for elliptic partial differential equations. In this paper, we study the convergence of geometric multigrid methods for solving large-scale, data-sparse boundary element equations arising from the adaptive cross approximation to the single layer potential equations. Keywords integral equations of first kind, single layer potential operator, boundary element method, adaptive cross approximation, geometric multigrid, preconditioners, iterative solvers.

Year: 2009
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