33 citations · 70 across the 9 of their papers we have counts for
10 papers · 1 filter
High-order kernel regularization of singular and hypersingular Helmholtz boundary integral operators
Luiz M. Faria, Carlos Perez-Arancibia, Svetlana Tlupova
This paper extends and analyzes the high-order kernel regularization framework of Beale & Tlupova (arXiv:2510.13639) to all four on-surface boundary integral operators of the Helmh…
High order regularization of nearly singular surface integrals
J. Thomas Beale, Svetlana Tlupova
Solutions of partial differential equations can often be written as surface integrals having a kernel related to a singular fundamental solution. Special methods are needed to eval…
Localized evaluation and fast summation in the extrapolated regularization method for integrals in Stokes flow
Joseph Siebor, Svetlana Tlupova
Boundary integral equation methods are widely used in the solution of many partial differential equations. The kernels that appear in these surface integrals are nearly singular wh…
The adjoint double layer potential on smooth surfaces in and the Neumann problem
J. Thomas Beale, Michael Storm, Svetlana Tlupova
We present a simple yet accurate method to compute the adjoint double layer potential, which is used to solve the Neumann boundary value problem for Laplace's equation in three dim…
Extrapolated regularization of nearly singular integrals on surfaces
J. Thomas Beale, Svetlana Tlupova
We present a method for computing nearly singular integrals that occur when single or double layer surface integrals, for harmonic potentials or Stokes flow, are evaluated at point…
A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals
Svetlana Tlupova
A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method is based on a D…
A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow
J. Thomas Beale, Christina Jones, Jillian Reale +1
Many problems in fluid dynamics are effectively modeled as Stokes flows - slow, viscous flows where the Reynolds number is small. Boundary integral equations are often used to solv…
A kernel-independent treecode based on barycentric Lagrange interpolation
Lei Wang, Robert Krasny, Svetlana Tlupova
A kernel-independent treecode (KITC) is presented for fast summation of particle interactions. The method employs barycentric Lagrange interpolation at Chebyshev points to approxim…
A Treecode Algorithm for 3D Stokeslets and Stresslets
Lei Wang, Svetlana Tlupova, Robert Krasny
The Stokeslet and stresslet kernels are commonly used in boundary element simulations and singularity methods for slow viscous flow. Evaluating the velocity induced by a collection…
Regularized Single and Double Layer Integrals in 3D Stokes Flow
Svetlana Tlupova, J. Thomas Beale
We present a numerical method for computing the single layer (Stokeslet) and double layer (stresslet) integrals in Stokes flow. The method applies to smooth, closed surfaces in thr…