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

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

9 Zitate (Scopus)

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.

Originalsprache	Englisch
Seiten (von - bis)	374-387
Seitenumfang	14
Fachzeitschrift	Numerical Methods for Partial Differential Equations
Jahrgang	20
Ausgabenummer	3
DOIs	https://doi.org/10.1002/num.10095
Publikationsstatus	Veröffentlicht - Mai 2004
Extern publiziert	Ja

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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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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

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U2 - 10.1002/num.10095

DO - 10.1002/num.10095

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AN - SCOPUS:2342483176

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JO - Numerical Methods for Partial Differential Equations

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A Domain Decomposition Method on Nested Domains and Nonmatching Grids

Abstract

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