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


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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