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math.NA2023
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…
math.NA2023
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…
math.NA2021
Efficient Fast Multipole Accelerated Boundary Elements via Recursive Computation of Multipole Expansions of Integrals
Nail A. Gumerov, Shoken Kaneko, Ramani Duraiswami
In boundary element methods (BEM) in , matrix elements and right hand sides are typically computed via analytical or numerical quadrature of the layer potential multi…