AMDiS - adaptive multidimensional simulations: adaptive finite elements for complex domains

Authors:
Christina Stöcker;Simon Vey;Axel Voigt
Affiliations:
Crystal Growth Group, Research Center Caesar, Bonn, Germany;Crystal Growth Group, Research Center Caesar, Bonn, Germany;Crystal Growth Group, Research Center Caesar, Bonn, Germany
Venue:
ACMOS'05 Proceedings of the 7th WSEAS international conference on Automatic control, modeling and simulation
Year:
2005

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Abstract

Complicated meshes used in numerical simulations on complex geometries often limit the applicability of multilevel techniques for fast solvers. We propose a way how this limitation can be circumvented if domain adaptation is used. We represent the geometry implicitly by its signed distance function and solve the problem on a larger domain taking account of the complex shape by adaptive refinement and subelement assembling routines. The software concepts of AMDiS [1] allow to deal with this situation in a nearly standard way. An example is shown which allows a detailed convergence analysis by comparing the numerical solution with an analytical solution.