4 papers
Layer potential quadrature on manifold boundary elements with constant densities for Laplace and Helmholtz kernels in
Shoken Kaneko, Ramani Duraiswami
A method is proposed for evaluation of single and double layer potentials of the Laplace and Helmholtz equations on piecewise smooth manifold boundary elements with constant densit…
Efficient Exact Quadrature of Regular Solid Harmonics Times Polynomials Over Simplices in
Shoken Kaneko, Ramani Duraiswami
A generalization of a recently introduced recursive numerical method for the exact evaluation of integrals of regular solid harmonics and their normal derivatives over simplex elem…
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…
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…