A generalization of a recently introduced recursive numerical method (Gumerov et al., 2023)
for the exact evaluation of integrals of regular solid harmonics and their normal derivatives …

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 …

This study introduces the scaled coordinate transformation boundary element method
(SCTBEM), a novel boundary-type method for solving three-dimensional potential problems …

This paper presents a fast multipole boundary element method (FMBEM) for acoustic
problems in a non-uniform potential flow. Different from the BEM for acoustic problems in a …

The fast multipole method (FMM) based on the plane wave expansion is known to suffer
from numerical instability in the low-frequency regime. This paper presents a low-frequency …

A method for the analytical evaluation of singular and nearly singular layer potentials arising
in the collocation boundary element method for the Laplace and Helmholtz equation is …

This paper introduces the Scaled Coordinate Transformation Boundary Element Method
(SCTBEM), a novel boundary-type method for solving 3D potential problems. To address the …

The boundary element method (BEM) is a popular method for solving acoustic wave
propagation problems, especially those in exterior domains, owing to its ease in handling …

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 …

Design of vertical takeoff and landing aircraft is challenging in part due to significant
aerodynamic interactions between rotors and wings. Computational models can aid in their …