Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary
نویسندگان
چکیده
We consider a fully discrete qualocation method for Symm's integral equation. The method is that of Sloan and Burn 14], 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 10]). 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 4] and Elschner and Stephan 7], to overcome the singular behavior of solutions at corners.
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ورودعنوان ژورنال:
- Adv. Comput. Math.
دوره 7 شماره
صفحات -
تاریخ انتشار 1997