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math.NA2019
Solving Laplace problems with corner singularities via rational functions
Abinand Gopal, Lloyd N. Trefethen
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 expone…
math.NA2019
New Laplace and Helmholtz solvers
Abinand Gopal, Lloyd N. Trefethen
New numerical algorithms based on rational functions are introduced that can solve certain Laplace and Helmholtz problems on two-dimensional domains with corners faster and more ac…