This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

In a companion paper (Bastian et al. 2007, this issue) we introduced an abstract definition of
a parallel and adaptive hierarchical grid for scientific computing. Based on this definition we …

The numerical solution of partial differential equations frequently requires the solution of
large and sparse linear systems. Using generic programming techniques in C++ one can …

In recent years, a number of finite element methods have been formulated for the solution of
partial differential equations on complex geometries based on nonmatching or overlapping …

In this paper, we derive a new approach for the numerical analysis of the heterogeneous
multiscale finite element method (HM-FEM) for elliptic homogenization problems. The HM …

In this contribution we give an overview on recent progress in obtaining a posteriori error
control for finite volume and discontinuous Galerkin approximations of non‐linear hyperbolic …

We present a new concept for the realization of finite element computations on parallel
machines with distributed memory. The parallel programming model is based on a dynamic …

In the present work we set up a general functional renormalisation group framework for the
computation of complex effective actions. For explicit computations we consider both flows of …

Gegenstand dieser Arbeit ist die Entwicklung eines parallelen algebraischen
Mehrgitterverfahrens zur Lösung linearer Systeme, die durch die Diskretisierung von …

Hairy roots are plants genetically transformed by Agrobacterium rhizogenes, which do not
produce shoots and are composed mainly by roots. Hairy roots of Ophiorrhiza mungos Linn …