Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary
| ISSN: |
1572-9044
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| Keywords: |
discrete qualocation ; Symm’s integral equation ; piecewise smooth boundary ; 65R20 ; 65N38
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
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| Notes: |
Abstract We consider a fully discrete qualocation method for Symm’s integral equation. The method is that of Sloan and Burn (1992), for which a complete analysis is available in the case of smooth curves. The convergence for smooth curves can be improved by a subtraction of singularity (Jeon and Kimn, 1996). In this paper we extend these results for smooth boundaries to polygonal boundaries. The analysis uses a mesh grading transformation method for Symm’s integral equation, as in Elschner and Graham (1995) and Elschner and Stephan (1996), to overcome the singular behavior of solutions at corners.
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| Type of Medium: |
Electronic Resource
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| URL: |