An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

Background The accuracy of EEG source localization depends on a sufficient sampling of
the surface potential field, an accurate conducting volume estimation (head model), and a …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

In Chapter 1 we presented basic ideas for the reduction of boundary value problems of the
Laplacian to various forms of boundary integral equations based on the direct approach …

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 …

This is a sequel to the book “Programming the Boundary Element Method” by G. Beer
published by Wiley in 2001. The scope of this book is different however and this is reflected …

Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

In this paper, we present a boundary integral based approach to isogeometric analysis and
shape optimization. For analysis, it uses the same basis, Non-Uniform Rational B-Spline …

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