This paper proposes a fast time-domain boundary element method (TDBEM) to solve three-
dimensional transient electromagnetic scattering problems regarding perfectly electric …

We develop a three‐dimensional shape optimization (SO) framework for the wave equation
with taking the unsteadiness into account. Resorting to the adjoint variable method, we …

The present article proposes a time‐domain boundary element method (TDBEM) for the
three‐dimensional (3D) dissipative wave equation (DWE). Although the fundamental …

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 …

The Non-uniform rational B-spline (NURBS) enhanced scaled boundary finite element
method in combination with the modified precise integration method is proposed for the …

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 …

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 …