An extrapolation method for a class of boundary integral equations
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- by Yuesheng Xu and Yunhe Zhao PDF
- Math. Comp. 65 (1996), 587-610 Request permission
Abstract:
Boundary value problems of the third kind are converted into boundary integral equations of the second kind with periodic logarithmic kernels by using Green’s formulas. For solving the induced boundary integral equations, a Nyström scheme and its extrapolation method are derived for periodic Fredholm integral equations of the second kind with logarithmic singularity. Asymptotic expansions for the approximate solutions obtained by the Nyström scheme are developed to analyze the extrapolation method. Some computational aspects of the methods are considered, and two numerical examples are given to illustrate the acceleration of convergence.References
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Additional Information
- Yuesheng Xu
- Affiliation: Department of Mathematics, North Dakota State University, Fargo, North Dakota 58105
- MR Author ID: 214352
- Email: xu@plains.Nodak.edu
- Yunhe Zhao
- Affiliation: Department of Mathematics, North Dakota State University, Fargo, North Dakota 58105
- Email: yunhe@plains.Nodak.edu
- Received by editor(s): February 21, 1994
- Received by editor(s) in revised form: October 4, 1994
- Additional Notes: This work is partially supported by NASA under grant NAG 3-1312
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 587-610
- MSC (1991): Primary 65R20, 65B05, 45L10
- DOI: https://doi.org/10.1090/S0025-5718-96-00723-5
- MathSciNet review: 1333328