Abstract
Galerkin method for an integral equation on a boundary δΩ of a bounded domain in R2, arising from a Dirichlet boundary value problem for an elliptic partial differential equation is considered in this paper. By using a single layer potential corresponding to the problem we obtain an integral equation on the boundary. The main result of the paper is that the integral equation has a unique solution in the Sobolev space H-1/2 (δΩ). We also give its H1 (Ω)-error estimate.
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© 1988 Springer Basel AG
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Sakakihara, M. (1988). Galerkin Boundary Element Method with Single Layer Potential. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_34
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DOI: https://doi.org/10.1007/978-3-0348-6303-2_34
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2255-7
Online ISBN: 978-3-0348-6303-2
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