On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods

Tony F. Chan; Danny Goovaerts

doi:10.1137/0613041

On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0613041 ◽

1992 ◽

Vol 13 (2) ◽

pp. 663-670 ◽

Cited By ~ 16

Author(s):

Tony F. Chan ◽

Danny Goovaerts

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition ◽

The Relationship

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Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-10-02361-6 ◽

2010 ◽

Vol 79 (272) ◽

pp. 2059-2059 ◽

Cited By ~ 6

Author(s):

Qiya Hu ◽

Shi Shu ◽

Junxian Wang

Keyword(s):

Domain Decomposition ◽

Elliptic Problems ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition ◽

Coarse Space

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On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.490625 ◽

2010 ◽

Vol 31 (5) ◽

pp. 596-615

Author(s):

Stephan Schreiber ◽

Reinhard Hochmuth

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Transmission Problems ◽

Nonoverlapping Domain Decomposition ◽

Quasilinear Pdes

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Some Nonoverlapping Domain Decomposition Methods

SIAM Review ◽

10.1137/s0036144596306800 ◽

1998 ◽

Vol 40 (4) ◽

pp. 857-914 ◽

Cited By ~ 115

Author(s):

Jinchao Xu ◽

Jun Zou

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005046 ◽

2005 ◽

Vol 39 (6) ◽

pp. 1251-1269 ◽

Cited By ~ 3

Author(s):

Xuejun Xu ◽

C. O. Chow ◽

S. H. Lui

Keyword(s):

Domain Decomposition ◽

Stokes Equations ◽

Decomposition Methods ◽

Navier Stokes ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Navier Stokes Equations ◽

Nonoverlapping Domain Decomposition

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A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXIV ◽

10.1007/978-3-319-93873-8_50 ◽

2018 ◽

pp. 523-531

Author(s):

Susanne C. Brenner ◽

Duk-Soon Oh

Keyword(s):

Domain Decomposition ◽

Numerical Study ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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A Finite Element Approach for the Dual Rudin--Osher--Fatemi Model and Its Nonoverlapping Domain Decomposition Methods

SIAM Journal on Scientific Computing ◽

10.1137/18m1165499 ◽

2019 ◽

Vol 41 (2) ◽

pp. B205-B228 ◽

Cited By ~ 3

Author(s):

Chang-Ock Lee ◽

Eun-Hee Park ◽

Jongho Park

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Finite Element Approach ◽

Element Approach ◽

Nonoverlapping Domain Decomposition

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New Nonoverlapping Domain Decomposition Methods for the Harmonic Maxwell System

SIAM Journal on Scientific Computing ◽

10.1137/040608696 ◽

2006 ◽

Vol 28 (1) ◽

pp. 102-122 ◽

Cited By ~ 48

Author(s):

Ana Alonso Rodriguez ◽

Luca Gerardo-Giorda

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Maxwell System ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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DOMAIN DECOMPOSITION METHODS FOR SOLVING PDE's ON MULTI-PROCESSORS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30420-x ◽

1990 ◽

Vol 10 (4) ◽

pp. 459-470 ◽

Cited By ~ 1

Author(s):

Lishan Kang ◽

Rodrigue Garry

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods

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Recent Developments in Domain Decomposition Methods

10.1007/978-3-642-56118-4 ◽

2002 ◽

Cited By ~ 13

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Recent Developments

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Mesh Partitioning Based Direct Domain Decomposition Methods for FEM

2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting ◽

10.1109/ieeeconf35879.2020.9329726 ◽

2020 ◽

Author(s):

Dimitrios G. Makris ◽

Marinos N. Vouvakis

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Mesh Partitioning

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