Applications of the local boundary integral equation technique to potential problems
Local boundary integral equation (LBIE) methods can be used if evaluation of the solution is required not over the whole boundary but only a small part of it. The paper briefly reviews the basic principles of two LBIE methods based on Taylor and Fourier series expansions for two-dimensional potential problems. To show the accuracy of both methods, a number of potential functions with polynomial, hyperbolic, and logarithmic variations are applied to square and annular domains, and numerical results for some test cases are given.
local boundary integral equation methods
scientific article; zbMATH DE number 218707