This book presents a unified theory of the Finite Element Method and the Boundary Element
Method for a numerical solution of second order elliptic boundary value problems. This …

Partial differential equations (PDEs) with random input data, such as random loadings and
coefficients, are reformulated as parametric, deterministic PDEs on parameter spaces of …

Matrix compression techniques in the context of wavelet Galerkin schemes for boundary
integral equations are developed and analyzed that exhibit optimal complexity in the …

Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …

We present an indirect higher order boundary element method utilising NURBS mappings
for exact geometry representation and an interpolation-based fast multipole method for …

Für die näherungsweise Lösung von Randwertproblemen zweiter Ordnung wird eine
einheitliche Theorie der Finiten Elemente Methode und der Randelementmethode …

We analyze a new approach to three-dimensional electromagnetic scattering problems via
fast isogeometric boundary element methods. Starting with an investigation of the theoretical …

In the present paper we consider the fully discrete wavelet Galerkin scheme for the fast
solution of boundary integral equations in three dimensions. It produces approximate …

In this article, we present Bembel, the C++ library featuring higher order isogeometric
Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel …

Abstract Let A: V→ V′ be a strongly elliptic operator on ad-dimensional manifold D
(polyhedra or boundaries of polyhedra are also allowed). An operator equation Au= f with …