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Numerical Modelling in Engineering

NME 2018: Proceedings of the 1st International Conference on Numerical Modelling in Engineering pp 212–224Cite as

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

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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.

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References

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Author information

Authors and Affiliations

  1. School of Engineering, University of Central Lancashire, Preston, UK

    Stephen Kirkup

Authors
  1. Stephen Kirkup
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Corresponding author

Correspondence to Stephen Kirkup .

Editor information

Editors and Affiliations

  1. Faculty of Engineering and Architecture, Ghent University, Laboratory Soete, Ghent, Belgium

    Magd Abdel Wahab

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Cite this paper

Kirkup, S. (2019). A Solution Method for the Generalised Linear Systems of Equations Arising in Direct Boundary Element Methods Applied to Problems with Robin Boundary Conditions. In: Abdel Wahab, M. (eds) Proceedings of the 1st International Conference on Numerical Modelling in Engineering . NME 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-2273-0_18

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  • DOI: https://doi.org/10.1007/978-981-13-2273-0_18

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2272-3

  • Online ISBN: 978-981-13-2273-0

  • eBook Packages: EngineeringEngineering (R0)

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