A Domain Decomposition Method on Nested Domains and Nonmatching Grids

Bernd Flemisch; Barbara I. Wohlmuth

doi:10.1002/num.10095

A Domain Decomposition Method on Nested Domains and Nonmatching Grids

Bernd Flemisch
, Barbara I. Wohlmuth

Universität Stuttgart

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain.

Original language	English
Pages (from-to)	374-387
Number of pages	14
Journal	Numerical Methods for Partial Differential Equations
Volume	20
Issue number	3
DOIs	https://doi.org/10.1002/num.10095
State	Published - May 2004
Externally published	Yes

Keywords

Domain decomposition
Mortar finite elements
Nested domains

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10.1002/num.10095

Cite this

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title = "A Domain Decomposition Method on Nested Domains and Nonmatching Grids",

abstract = "A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain.",

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AU - Flemisch, Bernd

AU - Wohlmuth, Barbara I.

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N2 - A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain.

AB - A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain.

KW - Domain decomposition

KW - Mortar finite elements

KW - Nested domains

UR - https://www.scopus.com/pages/publications/2342483176

U2 - 10.1002/num.10095

DO - 10.1002/num.10095

M3 - Article

AN - SCOPUS:2342483176

SN - 0749-159X

VL - 20

SP - 374

EP - 387

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

A Domain Decomposition Method on Nested Domains and Nonmatching Grids

Abstract

Keywords

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