33 citations · 33 across the 4 of their papers we have counts for
5 papers
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…
Neglecting discretization corrections in regularized singular or nearly singular integrals
J. Thomas Beale
A method for computing singular or nearly singular integrals on closed surfaces was presented by J. T. Beale, W. Ying, and J. R. Wilson [Comm. Comput. Phys. 20 (2016), 733--753, ar…
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation
J. Thomas Beale, Wenjun Ying
Several important problems in partial differential equations can be formulated as integral equations. Often the integral operator defines the solution of an elliptic problem with s…
A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces
J. Thomas Beale, Wenjun Ying, Jason R. Wilson
We present a simple, accurate method for computing singular or nearly singular integrals on a smooth, closed surface, such as layer potentials for harmonic functions evaluated at p…
Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method
J. Thomas Beale
We prove that uniform accuracy of almost second order can be achieved with a finite difference method applied to Navier-Stokes flow at low Reynolds number with a moving boundary, o…