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math.NA2023
Analytical Galerkin boundary integrals of Laplace kernel layer potentials in
Nail A. Gumerov, Shoken Kaneko, Ramani Duraiswami
A method for analytical computation of the double surface integrals for all layer potential kernels associated with the Laplace Green's function, in the Galerkin boundary element m…
math.NA2023
Recursive Analytical Quadrature of Laplace and Helmholtz Layer Potentials in
Shoken Kaneko, Nail A. Gumerov, Ramani Duraiswami
A method for the analytical evaluation of layer potentials arising in the collocation boundary element method for the Laplace and Helmholtz equation is developed for piecewise flat…