Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

The singular integrals in the Galerkin Boundary Element Method are usually treated using
singularity removing transformations. The regularized integrals are approximated by tensor …

In this chapter, we describe a space-time boundary element method for the numerical
solution of the time-dependent heat equation. As model problem, we consider the initial …

We present boundary integral representations of several initial boundary value problems
related to the heat equation. A Galerkin discretization with piecewise constant functions in …

We present a novel approach to the parallelization of the parabolic fast multipole method for
a space-time boundary element method for the heat equation. We exploit the special …

In this paper we introduce a new parallel solver for the weakly singular space–time
boundary integral equation for the heat equation. The space–time boundary mesh is …

This paper proposes and analyzes a full discretization of the exterior transient Stokes
problem with Dirichlet boundary conditions. The method is based on a single layer boundary …

We present a family of integral equation-based solvers for the linear or semilinear heat
equation in complicated moving (or stationary) geometries. This approach has significant …

The successful implementation of the Galerkin Boundary Element Method hinges on the
accurate and effective quadrature of the influence coefficients. For parabolic boundary …

This article presents a fast sparse grid based space–time boundary element method for the
solution of the nonstationary heat equation. We make an indirect ansatz based on the …