In boundary element methods (BEM) in R 3, matrix elements and right hand sides are
typically computed via analytical or numerical quadrature of the layer potential multiplied by …

This paper describes a locally corrected trapezoidal quadrature method for the discretization
of singular and hypersingular boundary integral operators (BIOs) that arise in solving …

We present two new classes of algorithms for efficient field integration on graphs encoding
point cloud data. The first class, $\mathrm {SeparatorFactorization} $(SF), leverages the …

We present a fast direct solver for boundary integral equations on complex surfaces in three
dimensions using an extension of the recently introduced recursive strong skeletonization …

This paper presents a new approach for solving the close evaluation problem in three
dimensions, commonly encountered while solving linear elliptic partial differential equations …

Well-conditioned boundary integral methods for the solution of elliptic boundary value
problems (BVPs) are powerful tools for static and dynamic physical simulations. When there …

While potential theoretic techniques have received significant interest and found broad
success in the solution of linear partial differential equations (PDEs) in mathematical …

In this paper, we present a novel numerical scheme for simulating deformable and
extensible capsules suspended in a Stokesian fluid. The main feature of our scheme is a …

This article presents a high-order accurate numerical method for the evaluation of singular
volume integral operators, with attention focused on operators associated with the Poisson …

Abstract The Laplace–Beltrami problem on closed surfaces embedded in three dimensions
arises in many areas of physics, including molecular dynamics (surface diffusion) …