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

  • Stephen KirkupEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


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.


Boundary element method Linear system Robin 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.School of EngineeringUniversity of Central LancashirePrestonUK

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