@TechReport{ it:2003-053, author = {Erik B{\"a}ngtsson and Maya Neytcheva}, title = {Approaches to Reduce the Computational Cost when Solving Linear Systems of Equations Arising in Boundary Element Method Discretizations}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2003}, number = {2003-053}, month = nov, abstract = {Preconditioned iterative solution methods are compared with the direct Gaussian elimination method to solve dense linear systems $A\mathbf{x} = \mathbf{b}$ 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.} }