We consider boundary integral equations of the first kind with logarithmic kernels on smooth closed or open contours in R2. Instead of solving the first kind equations directly, we propose a fully ...
Abstract: In this work, we aim to improve the efficiency of a higher-order boundary element method for solving axi-symmetric electrostatic problems. To do so, we generate a set of tailored ...
Integration rules which minimize the norm of the error functional in Hilbert spaces of analytic functions are found to possess positive weights and points interior to ...
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