20100611
In this presentation I will briefly introduce my research group and its goals. I will explain why we are interested in adaptive finite element methods based on computational, as opposed to mathematical/analytical error estimates. Main principles of adaptive higherorder finite elementi methods (hpFEM) will be explained and demonstrated via live computations.
I will introduce a novel adaptive multimesh hpFEM that makes it possible to discretize various physical fields in multiphysics PDE systems on different meshes without losing information through intermesh data transfer. Numerical comparisons with methods that transfer solution data between meshes, as well as with methods that use a single mesh to approximate multiple solution components, will be presented.
The multimesh hpFEM also is the basis for a class of novel hpadaptive algorithms with dynamically changing meshes for timedependent problems. I will explain the main idea and show several computational videos related to various problems (flame propagation, thermally conductive flow, microwave heating, thermoelasticity, twophase flow, the GrossPitaevski equation, etc). If there is enough time, I will say a few words about the open source projects Hermes and FEMhub.
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

Send email to assistants' office
Show a list of open BSc/MSc topics at GSC CE.