3 papers
math.NA2021
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…
math.NA2020
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…
math.NA2018
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…