Technical Report 2003-053

Approaches to Reduce the Computational Cost when Solving Linear Systems of Equations Arising in Boundary Element Method Discretizations

Erik Bängtsson and Maya Neytcheva

November 2003

Abstract:

Preconditioned iterative solution methods are compared with the direct Gaussian elimination method to solve dense linear systems Ax = b which originate from crack propagation problems, modeled and discretized by boundary element (BEM) techniques.

Numerical experiments are presented and compared with the direct solution method available in a commercial BEM package. The experiments show that the preconditioned iterative schemes are competitive compared to the direct solver with respect to both arithmetic operations required and memory demands.

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