Adaptive higher-order finite element methods for multiphysics coupled problems

Prof. Dr. Pavel Solin, University of Nevada, Reno/ Institute of Thermomechanics, Prague

22 Jul 2010, 17:00; Location: S4|10-1

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 higher-order finite elementi methods (hp-FEM) will be explained and demonstrated via live computations.

I will introduce a novel adaptive multimesh hp-FEM 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 hp-FEM also is the basis for a class of novel hp-adaptive algorithms with dynamically changing meshes for time-dependent problems. I will explain the main idea and show several computational videos related to various problems (flame propagation, thermally conductive flow, microwave heating, thermoelasticity, two-phase flow, the Gross-Pitaevski equation, etc). If there is enough time, I will say a few words about the open source projects Hermes and FEMhub.

Category: CE Seminar


Technische Universität Darmstadt

Graduate School CE
Dolivostraße 15
D-64293 Darmstadt

Phone+49 6151/16-24401
Fax -24404

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