22 citations · 23 across the 4 of their papers we have counts for
5 papers
The Lagrange Inversion Theorem with Limited Smoothness
J. Thomas Beale
The Lagrange Inversion Theorem provides a formula for the power series of the inverse of an analytic function. We present a straightforward extension to functions with a finite num…
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…
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…
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…