Weak information transfer between non-matching warped interfaces

Thomas Dickopf; Rolf Krause

doi:10.1007/978-3-642-02677-5_31

Weak information transfer between non-matching warped interfaces

Thomas Dickopf^*, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

We consider the information transfer between non-matching finite elementmeshes arising from domain decomposition. Dealing with complex three-dimensional geometries, especially in the case of computational mechanics and nonlinear contact problems, one can usually not achieve a decomposition of the global domain with mere planar interfaces in a sensible way. Thus, subdomains with warped interfaces emerge which, after an independent discretization, yield a geometrically non-conforming decomposition with small gaps and overlaps. In this paper, we employ a mortar approach and develop a method for the assembly of a discrete coupling operator providing a stable information transfer across such geometrically distinct warped interfaces.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XVIII
Pages	283-290
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-642-02677-5_31
State	Published - 2009
Event	18th International Conference of Domain Decomposition Methods - Jerusalem, Israel Duration: Jan 12 2008 → Jan 17 2008

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	70 LNCSE
ISSN (Print)	1439-7358

Other

Other	18th International Conference of Domain Decomposition Methods
Country/Territory	Israel
City	Jerusalem
Period	01/12/08 → 01/17/08

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-642-02677-5_31

Cite this

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title = "Weak information transfer between non-matching warped interfaces",

abstract = "We consider the information transfer between non-matching finite elementmeshes arising from domain decomposition. Dealing with complex three-dimensional geometries, especially in the case of computational mechanics and nonlinear contact problems, one can usually not achieve a decomposition of the global domain with mere planar interfaces in a sensible way. Thus, subdomains with warped interfaces emerge which, after an independent discretization, yield a geometrically non-conforming decomposition with small gaps and overlaps. In this paper, we employ a mortar approach and develop a method for the assembly of a discrete coupling operator providing a stable information transfer across such geometrically distinct warped interfaces.",

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Dickopf, T & Krause, R 2009, Weak information transfer between non-matching warped interfaces. in Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering, vol. 70 LNCSE, pp. 283-290, 18th International Conference of Domain Decomposition Methods, Jerusalem, Israel, 01/12/08. https://doi.org/10.1007/978-3-642-02677-5_31

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AB - We consider the information transfer between non-matching finite elementmeshes arising from domain decomposition. Dealing with complex three-dimensional geometries, especially in the case of computational mechanics and nonlinear contact problems, one can usually not achieve a decomposition of the global domain with mere planar interfaces in a sensible way. Thus, subdomains with warped interfaces emerge which, after an independent discretization, yield a geometrically non-conforming decomposition with small gaps and overlaps. In this paper, we employ a mortar approach and develop a method for the assembly of a discrete coupling operator providing a stable information transfer across such geometrically distinct warped interfaces.

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ER -

Weak information transfer between non-matching warped interfaces

Abstract

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