This article surveys a general approach to error control and adaptive mesh design in
Galerkin finite element methods that is based on duality principles as used in optimal …

In this part we are concerned with a class of model reduction techniques for parametric
partial differential equations (PDEs), the so-called reduced basis (RB) methods. These allow …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

This book starts by introducing the fundamental concepts of mathematical continuum
mechanics for fluids and solids and their coupling. Special attention is given to the derivation …

An overview of the software design and data abstraction decisions chosen for deal. II, a
general purpose finite element library written in C++, is given. The library uses advanced …

These Lecture Notes have been compiled from the material presented by the second author
in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH …

The finite element method has always been a mainstay for solving engineering problems
numerically. The most recent developments in the field clearly indicate that its future lies in …

Offering the only existing finite element (FE) codes for Maxwell equations that support hp
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …

In this paper, we extend the reduced-basis methods and associated a posteriori error
estimators developed earlier for elliptic partial differential equations to parabolic problems …

In this paper, we study a new approach in a posteriori error estimation, in which the
numerical error of finite element approximations is estimated in terms of quantities of interest …