Hypersingular integral equations on curved boundaries
According to the Babuska plate paradox it is impossible to approximate a circular hinged plate by a polygonal one, , and to expect at the same time that the solution converges to the exact solution. Therefore an exact representation of the circular boundary is required. But using the exact representation of the boundary causes a decisive difference to the straight boundary: the occuring singular integrals cannot be determined analytical anymore. The paper presents a method to calculate the singular integrals numerically and three numerical examples will demonstrate the accuracy of the boundary integral technique for various boundary conditions.
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