Solving Laplace problems with corner singularities via rational functions

A new method is introduced for solving Laplace problems on 2D regions with corners by approximation of boundary data by the real part of a rational function with fixed poles exponentially clustered near each corner. Greatly extending a result of D. J. Newman in 1964 in approximation theory, we first...

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Bibliographic Details
Main Authors: Gopal, A, Trefethen, L
Format: Journal article
Published: Society for Industrial and Applied Mathematics 2019