Linear Solvers for the Galerkin Boundary Element Method

Ore Ademoyero, Alan Davies and Michael Bartholomew-Biggs

Chapter 2 in Integral Methods in Science and Engineering, 2002, pp 15-20 from Springer

Abstract: 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 2.1 $${\nabla^2}u = 0 in D$$ subject to the boundary conditions 2.2 $$\begin{array}{*{20}{c}} {u = {{u}_{0}}} & {on {{C}_{0}}} & {and} & {q \equiv \frac{{\partial u}}{{\partial n}} = {{q}_{1}}} & {on {{C}_{1}}} \\ \end{array} ,$$ where D is the region bounded by the closed curve, C C 0 + C 1.

Keywords: Conjugate Gradient; Boundary Element Method; Conjugate Gradient Method; Singular Integral; Boundary Integral Equation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0111-3_2

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DOI: 10.1007/978-1-4612-0111-3_2

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