A fast algorithm for particle simulations
Journal of Computational Physics
The analysis of multigrid algorithms for pseudodifferential operators of order minus one
Mathematics of Computation
Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method
Mathematics of Computation
Multilevel methods for the h-,p-, and hp-versions of the boundary element method
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method
SIAM Journal on Numerical Analysis
The rapid evaluation of potential fields in particle systems
The rapid evaluation of potential fields in particle systems
Data-sparse algebraic multigrid methods for large scale boundary element equations
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Coarsening of Boundary-element Spaces
Computing
The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)
Applications of a fast multipole Galerkin in boundary element method in linear elastostatics
Computing and Visualization in Science
Computing and Visualization in Science
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Fast boundary element methods still need good preconditioning techniques for an almost optimal complexity. An algebraic multigrid method is presented for the single layer potential using the fast multipole method. The coarsening is based on the cluster structure of the fast multipole method. The effort for the construction of the nearfield part of the coarse grid matrices and for an application of the multigrid preconditioner is of the same almost optimal order as the fast multipole method itself.