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

Kirkup, Stephen Martin orcid iconORCID: 0000-0002-9680-7778 (2018) A Solution Method for the Generalised Linear Systems of Equations Arising in Direct Boundary Element Methods Applied to Problems with Robin Boundary Conditions. In: 1st International Conference on Numerical Modelling in Engineering, 28-29th August 2018, Ghent, Belgium.

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Official URL: https://doi.org/10.1007/978-981-13-2273-0_18

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 involving exchanging columns of the matrices within the system is defined. The method is based on the principle of minimising the propagation of error and returns a system in standard form. Implementations of the method are developed in Matlab, Excel-VBA and Fortran. The method is demonstrated through its application to a test linear system and then it is applied within boundary element method test problems.


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