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Linear Solvers for the Galerkin Boundary Element Method

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Integral Methods in Science and Engineering

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Abstract

In this chapter we consider the solution of linear equations occurring when the Galerkin boundary element method (GBEM) is applied to the two-dimensional mixed potential problem

$${\nabla^2}u = 0 in D$$
(2.1)

subject to the boundary conditions

$$\begin{array}{*{20}{c}} {u = {{u}_{0}}} & {on {{C}_{0}}} & {and} & {q \equiv \frac{{\partial u}}{{\partial n}} = {{q}_{1}}} & {on {{C}_{1}}} \\ \end{array} ,$$
(2.2)

where D is the region bounded by the closed curve, C C 0 + C 1.

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Authors
  1. Ore Ademoyero
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  2. Alan Davies
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  3. Michael Bartholomew-Biggs
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Strathclyde, G1 1XH, Glasgow, UK

    Christian Constanda

  2. Department of Mechanical Engineering, University of Alberta, T6G 2G8, Edmonton, Alberta, Canada

    Peter Schiavone  & Andrew Mioduchowski  & 

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© 2002 Springer Science+Business Media New York

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Ademoyero, O., Davies, A., Bartholomew-Biggs, M. (2002). Linear Solvers for the Galerkin Boundary Element Method. In: Constanda, C., Schiavone, P., Mioduchowski, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0111-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-0111-3_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6617-4

  • Online ISBN: 978-1-4612-0111-3

  • eBook Packages: Springer Book Archive

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