We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
A new electromagnetic energy harvester for harnessing energy from flow induced vibration is developed. It converts flow energy into electrical energy by fluid flow and electromagn...
The recent transition from meshing the whole model towards the independent meshing of the assembly parts introduced new challenges also in the task of visualizing and pre-processi...
Norbert Frisch, Dirc Rose, Ove Sommer, Thomas Ertl
We consider finite element operators defined on "rough" functions in a bounded polyhedron in RN . Insisting on preserving positivity in the approximations, we discover a...
Nonconforming finite element discretisations require special care in the construction of the prolongation andrestrictioninthemultigridprocess. Inthispaper,ageneralschemeisproposed...
Dietrich Braess, Maksimillian Dryja, Wolfgang Hack...
A number of new local and parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorit...
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...
In this paper, we consider iterative algorithms of Uzawa type for solving linear nonsymmetric saddle point problems. Specifically, we consider systems, written as usual in block fo...
James H. Bramble, Joseph E. Pasciak, Apostol T. Va...
A set of object oriented tools is presented which, when combined, yield an efficient parallel finite element program. Special emphasis is given to details within the concept of the...