A domain decomposition discretization of parabolic problems

Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the ind...
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Autor*in:	Dryja, Maksymilian [verfasserIn] Tu, Xuemin

Format:	Artikel
Sprache:	Englisch

Erschienen:	2007

Systematik:	SA 7310

Anmerkung:	© Springer-Verlag 2007

Übergeordnetes Werk:	Enthalten in: Numerische Mathematik - Springer-Verlag, 1959, 107(2007), 4 vom: 04. Sept., Seite 625-640
Übergeordnetes Werk:	volume:107 ; year:2007 ; number:4 ; day:04 ; month:09 ; pages:625-640

Links:	Volltext

DOI / URN:	10.1007/s00211-007-0103-0

Katalog-ID:	OLC2039996958

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allfields	10.1007/s00211-007-0103-0 doi (DE-627)OLC2039996958 (DE-He213)s00211-007-0103-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Dryja, Maksymilian verfasserin aut A domain decomposition discretization of parabolic problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. Tu, Xuemin aut Enthalten in Numerische Mathematik Springer-Verlag, 1959 107(2007), 4 vom: 04. Sept., Seite 625-640 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:107 year:2007 number:4 day:04 month:09 pages:625-640 https://doi.org/10.1007/s00211-007-0103-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_147 GBV_ILN_170 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 107 2007 4 04 09 625-640
spelling	10.1007/s00211-007-0103-0 doi (DE-627)OLC2039996958 (DE-He213)s00211-007-0103-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Dryja, Maksymilian verfasserin aut A domain decomposition discretization of parabolic problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. Tu, Xuemin aut Enthalten in Numerische Mathematik Springer-Verlag, 1959 107(2007), 4 vom: 04. Sept., Seite 625-640 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:107 year:2007 number:4 day:04 month:09 pages:625-640 https://doi.org/10.1007/s00211-007-0103-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_147 GBV_ILN_170 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 107 2007 4 04 09 625-640
allfields_unstemmed	10.1007/s00211-007-0103-0 doi (DE-627)OLC2039996958 (DE-He213)s00211-007-0103-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Dryja, Maksymilian verfasserin aut A domain decomposition discretization of parabolic problems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. Tu, Xuemin aut Enthalten in Numerische Mathematik Springer-Verlag, 1959 107(2007), 4 vom: 04. Sept., Seite 625-640 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:107 year:2007 number:4 day:04 month:09 pages:625-640 https://doi.org/10.1007/s00211-007-0103-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_147 GBV_ILN_170 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 107 2007 4 04 09 625-640
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author	Dryja, Maksymilian
spellingShingle	Dryja, Maksymilian ddc 510 ssgn 17,1 rvk SA 7310 A domain decomposition discretization of parabolic problems
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topic_title	510 VZ 17,1 ssgn SA 7310 VZ rvk A domain decomposition discretization of parabolic problems
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title	A domain decomposition discretization of parabolic problems
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title_full	A domain decomposition discretization of parabolic problems
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title_sort	a domain decomposition discretization of parabolic problems
title_auth	A domain decomposition discretization of parabolic problems
abstract	Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. © Springer-Verlag 2007
abstractGer	Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. © Springer-Verlag 2007
abstract_unstemmed	Abstract In recent years, domain decomposition methods have attracted much attention due to their successful application to many elliptic and parabolic problems. Domain decomposition methods treat problems based on a domain substructuring, which is attractive for parallel computation, due to the independence among the subdomains. In principle, domain decomposition methods may be applied to the system resulting from a standard discretization of the parabolic problems or, directly, be carried out through a discretization of parabolic problems. In this paper, a direct domain decomposition method is introduced to discretize the parabolic problems. The stability and convergence of this algorithm are analyzed. © Springer-Verlag 2007
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title_short	A domain decomposition discretization of parabolic problems
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