Hierarchical Bem Preconditioners In

Institut F Ur I F Am Angewandte Mathematik Hierarchical Basis Preconditioners for Coupled Fem{bem Equations Hierarchcal Basis Preconditioners for Coupled Fem{bem Equations

The purpose of this paper is to present a nearly optimal preconditioned iterative method to solve indeenite linear systems of equations arising from h-adaptive procedures for the symmetric coupling of Finite Elements and Boundary Elements. This solver is nearly optimal in the sense, that its convergence rate grows only logarithmically with the number of unknowns. The algorithm is based on the c...

PRECONDITIONERS FOR BEM 131 For

Hierarchical Basis Preconditioners for Coupled Fem{bem Equations

SUMMARY The purpose of this paper is to present a nearly optimal preconditioned iterative method to solve indeenite linear systems of equations arising from h-adaptive procedures for the symmetric coupling of Finite Elements and Boundary Elements. This solver is nearly optimal in the sense, that its convergence rate grows only logarithmically with the number of unknowns. The algorithm is based ...

Substructure-based Block-diagonal Preconditioning for BEM Systems of Equations - Applications to the Micromechanical Analysis of General Composites

The boundary-element subregion-by-subregion (BE SBS) algorithm, developed in previous works, is employed to construct global block-diagonal preconditioners for BEM systems of equations. As the BE matrices for each BE subregion are independently assembled and stored, the block-diagonal-based preconditioners for the corresponding BE models are immediately constructed. A Krylov solver is embedded ...

Fast numerical methods for non-local operators

H-Matrix LU-decomposition based preconditioners for BEM