A spectral Galerkin method for a boundary integral equation
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- by W. McLean PDF
- Math. Comp. 47 (1986), 597-607 Request permission
Abstract:
We consider the boundary integral equation which arises when the Dirichlet problem in two dimensions is solved using a single-layer potential. A spectral Galerkin method is analyzed, suitable for the case of a smooth domain and smooth boundary data. The use of trigonometric polynomials rather than splines leads to fast convergence in Sobolev spaces of every order. As a result, there is rapid convergence of the approximate solution to the Dirichlet problem and all its derivatives uniformly up to the boundary.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Math. Comp. 47 (1986), 597-607
- MSC: Primary 65R20; Secondary 45L10
- DOI: https://doi.org/10.1090/S0025-5718-1986-0856705-2
- MathSciNet review: 856705