A Solution Method for the Generalised Linear Systems of Equations Arising in Direct Boundary Element Methods Applied to Problems with Robin Boundary Conditions

Abstract

When the direct boundary element method is used to solve problems with a general Robin (or mixed) boundary condition the resulting linear system of equations is not in the standard form. In this paper a method is developed for exchanging columns that is based on minimising the propagation of error. This method is implemented in Matlab, Excel-VBA and Fortran. The method is demonstrated through its application to a test linear system and then in is applied within boundary element method test problems.