Design of Finite Element Tools for Coupled Surface and Volume Meshes

  • Many problems with underlying variational structure involve a coupling of volume with surface effects. A straight-forward approach in a finite element discretization is to make use of the surface triangulation that is naturally induced by the volume triangulation. In an adaptive method one wants to facilitate "matching" local mesh modifications, i. e., local refinement and/or coarsening, of volume and surface mesh with standard tools such that the surface grid is always induced by the volume grid. We describe the concepts behind this approach for bisectional refinement and describe new tools incorporated in the finite element toolbox ALBERTA. We also present several important applications of the mesh coupling.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Daniel KösterGND, Oliver Kriessl, Kunibert G. SiebertGND
URN:urn:nbn:de:bvb:384-opus4-4884
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/612
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2008-01)
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2008/01/16
Tag:adaptive finite element methods; scientific software; software design
GND-Keyword:Finite-Elemente-Methode; Gittererzeugung; Triangulation; Wissenschaftlich-technische Software
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik