Nonlinear structural subsystem of GeoFEM for fault zone analysis
Identifieur interne : 005B93 ( PascalFrancis/Checkpoint ); précédent : 005B92; suivant : 005B94Nonlinear structural subsystem of GeoFEM for fault zone analysis
Auteurs : Mikio Iizuka [Japon] ; Hiroshi Okuda [Japon] ; Genki Yagawa [Japon]Source :
- Pure and Applied Geophysics [ 0033-4553 ] ; 2000.
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Abstract
GeoFEM (IIZUKA et al., 1999) is a parallel finite element analysis system intended for multi-physics, multi-scale problems of solid earth field phenomena. Very large linear elastic problems have already been resolved by parallel computation with GeoFEM. The next stage is to examine large-scale nonlinear problems using GeoFEM. The analysis of large-scale contact problems for fault zones is particularly important in the development of models that simulate the occurrence and cycle of earthquakes. This paper proposes a parallel FEM using an iterative solver with the augmented Lagrange method for solving large-scale contact problems. Direct solvers are presently applied to contact problem analysis because the matrix for such problems is ill-conditioned. However, direct solvers are not suitable for large-scale matrices. The augmented Lagrange method can improve the matrix conditions. The present study evaluates a parallel FEM using an iterative solver with the augmented Lagrange method. Analysis of a contact problem with the augmented Lagrange method revealed that an optimal penalty parameter exists and that large-scale parallel contact analysis using the iterative solver with localized preconditioning is promising.
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Nonlinear structural subsystem of GeoFEM for fault zone analysis</title><author><name sortKey="Iizuka, Mikio" sort="Iizuka, Mikio" uniqKey="Iizuka M" first="Mikio" last="Iizuka">Mikio Iizuka</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Research Organization for Information Science & Technology-RIST</s1><s2>1-18-16 Hamamatsucho Minato-ku Tokyo, 105-0013</s2><s3>JPN</s3><sZ>1 aut.</sZ></inist:fA14><country>Japon</country><wicri:noRegion>Research Organization for Information Science & Technology-RIST</wicri:noRegion></affiliation></author><author><name sortKey="Okuda, Hiroshi" sort="Okuda, Hiroshi" uniqKey="Okuda H" first="Hiroshi" last="Okuda">Hiroshi Okuda</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering and Materials Science, Faculty of Engineering, Yokohama National University</s1><s2>79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067</s2><s3>JPN</s3><sZ>2 aut.</sZ></inist:fA14><country>Japon</country><wicri:noRegion>79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067</wicri:noRegion></affiliation></author><author><name sortKey="Yagawa, Genki" sort="Yagawa, Genki" uniqKey="Yagawa G" first="Genki" last="Yagawa">Genki Yagawa</name><affiliation wicri:level="4"><inist:fA14 i1="03"><s1>Department of Quantum Engineering and Systems Science, The University of Tokyo</s1><s2>7-3-1 Hongo Bunkyo-ku Tokyo, 113-0033</s2><s3>JPN</s3><sZ>3 aut.</sZ></inist:fA14><country>Japon</country><placeName><settlement type="city">Tokyo</settlement><region type="province">Région de Kantō</region></placeName><orgName type="university">Université de Tokyo</orgName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">01-0110005</idno><date when="2000">2000</date><idno type="stanalyst">PASCAL 01-0110005 INIST</idno><idno type="RBID">Pascal:01-0110005</idno><idno type="wicri:Area/PascalFrancis/Corpus">005C99</idno><idno type="wicri:Area/PascalFrancis/Curation">000458</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">005B93</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">005B93</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Nonlinear structural subsystem of GeoFEM for fault zone analysis</title><author><name sortKey="Iizuka, Mikio" sort="Iizuka, Mikio" uniqKey="Iizuka M" first="Mikio" last="Iizuka">Mikio Iizuka</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Research Organization for Information Science & Technology-RIST</s1><s2>1-18-16 Hamamatsucho Minato-ku Tokyo, 105-0013</s2><s3>JPN</s3><sZ>1 aut.</sZ></inist:fA14><country>Japon</country><wicri:noRegion>Research Organization for Information Science & Technology-RIST</wicri:noRegion></affiliation></author><author><name sortKey="Okuda, Hiroshi" sort="Okuda, Hiroshi" uniqKey="Okuda H" first="Hiroshi" last="Okuda">Hiroshi Okuda</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering and Materials Science, Faculty of Engineering, Yokohama National University</s1><s2>79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067</s2><s3>JPN</s3><sZ>2 aut.</sZ></inist:fA14><country>Japon</country><wicri:noRegion>79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067</wicri:noRegion></affiliation></author><author><name sortKey="Yagawa, Genki" sort="Yagawa, Genki" uniqKey="Yagawa G" first="Genki" last="Yagawa">Genki Yagawa</name><affiliation wicri:level="4"><inist:fA14 i1="03"><s1>Department of Quantum Engineering and Systems Science, The University of Tokyo</s1><s2>7-3-1 Hongo Bunkyo-ku Tokyo, 113-0033</s2><s3>JPN</s3><sZ>3 aut.</sZ></inist:fA14><country>Japon</country><placeName><settlement type="city">Tokyo</settlement><region type="province">Région de Kantō</region></placeName><orgName type="university">Université de Tokyo</orgName></affiliation></author></analytic><series><title level="j" type="main">Pure and Applied Geophysics</title><title level="j" type="abbreviated">Pure Appl. Geophys.</title><idno type="ISSN">0033-4553</idno><imprint><date when="2000">2000</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Pure and Applied Geophysics</title><title level="j" type="abbreviated">Pure Appl. Geophys.</title><idno type="ISSN">0033-4553</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Japan</term><term>Pacific Plate</term><term>Philippine Sea Plate</term><term>computer programs</term><term>earthquakes</term><term>fault displacements</term><term>fault zones</term><term>finite element analysis</term><term>mathematical models</term><term>plate boundaries</term><term>subduction zones</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Déplacement faille</term><term>Séisme</term><term>Zone faillée</term><term>Méthode élément fini</term><term>Programme ordinateur</term><term>Modèle mathématique</term><term>Zone subduction</term><term>Plaque Pacifique</term><term>Plaque Philippines</term><term>Limite plaque</term><term>Japon</term><term>GeoFEM</term></keywords><keywords scheme="Wicri" type="geographic" xml:lang="fr"><term>Japon</term></keywords><keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Séisme</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">GeoFEM (IIZUKA et al., 1999) is a parallel finite element analysis system intended for multi-physics, multi-scale problems of solid earth field phenomena. Very large linear elastic problems have already been resolved by parallel computation with GeoFEM. The next stage is to examine large-scale nonlinear problems using GeoFEM. The analysis of large-scale contact problems for fault zones is particularly important in the development of models that simulate the occurrence and cycle of earthquakes. This paper proposes a parallel FEM using an iterative solver with the augmented Lagrange method for solving large-scale contact problems. Direct solvers are presently applied to contact problem analysis because the matrix for such problems is ill-conditioned. However, direct solvers are not suitable for large-scale matrices. The augmented Lagrange method can improve the matrix conditions. The present study evaluates a parallel FEM using an iterative solver with the augmented Lagrange method. Analysis of a contact problem with the augmented Lagrange method revealed that an optimal penalty parameter exists and that large-scale parallel contact analysis using the iterative solver with localized preconditioning is promising.</div></front></TEI><inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>0033-4553</s0></fA01><fA02 i1="01"><s0>PAGYAV</s0></fA02><fA03 i2="1"><s0>Pure Appl. Geophys.</s0></fA03><fA05><s2>157</s2></fA05><fA06><s2>11-12</s2></fA06><fA08 i1="01" i2="1" l="ENG"><s1>Nonlinear structural subsystem of GeoFEM for fault zone analysis</s1></fA08><fA09 i1="01" i2="1" l="ENG"><s1>Special Issue: Microscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process</s1></fA09><fA11 i1="01" i2="1"><s1>IIZUKA (Mikio)</s1></fA11><fA11 i1="02" i2="1"><s1>OKUDA (Hiroshi)</s1></fA11><fA11 i1="03" i2="1"><s1>YAGAWA (Genki)</s1></fA11><fA12 i1="01" i2="1"><s1>MORA (Peter)</s1><s9>ed.</s9></fA12><fA12 i1="02" i2="1"><s1>MATSU'URA (Mitsuhiro)</s1><s9>ed.</s9></fA12><fA12 i1="03" i2="1"><s1>MADARIAGA (Raul)</s1><s9>ed.</s9></fA12><fA12 i1="04" i2="1"><s1>MINSTER (Jean-Bernard)</s1><s9>ed.</s9></fA12><fA14 i1="01"><s1>Research Organization for Information Science & Technology-RIST</s1><s2>1-18-16 Hamamatsucho Minato-ku Tokyo, 105-0013</s2><s3>JPN</s3><sZ>1 aut.</sZ></fA14><fA14 i1="02"><s1>Department of Mechanical Engineering and Materials Science, Faculty of Engineering, Yokohama National University</s1><s2>79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067</s2><s3>JPN</s3><sZ>2 aut.</sZ></fA14><fA14 i1="03"><s1>Department of Quantum Engineering and Systems Science, The University of Tokyo</s1><s2>7-3-1 Hongo Bunkyo-ku Tokyo, 113-0033</s2><s3>JPN</s3><sZ>3 aut.</sZ></fA14><fA15 i1="01"><s1>QUAKES, Department of Earth Sciences, The University of Queensland</s1><s2>4072 Brisbane, Qld</s2><s3>AUS</s3><sZ>1 aut.</sZ></fA15><fA15 i1="02"><s1>Department of Earth and Planetary Physics, The University of Tokyo, 7-3-1, Hongo</s1><s2>Bunkyo-Ku, Tokyo 113-0033</s2><s3>JPN</s3><sZ>2 aut.</sZ></fA15><fA15 i1="03"><s1>Laboratoire de géologie, école normale supérieur, 24 rue Lhomond</s1><s2>75231 Paris</s2><s3>FRA</s3><sZ>3 aut.</sZ></fA15><fA15 i1="04"><s1>Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California at San Diego</s1><s2>La Jolla, CA 92093-0225</s2><s3>USA</s3><sZ>4 aut.</sZ></fA15><fA20><s1>2105-2124</s1><s7>1</s7></fA20><fA21><s1>2000</s1></fA21><fA23 i1="01"><s0>ENG</s0></fA23><fA43 i1="01"><s1>INIST</s1><s2>3536</s2><s5>354000093783410150</s5></fA43><fA44><s0>0000</s0><s1>© 2001 INIST-CNRS. All rights reserved.</s1></fA44><fA45><s0>19 ref.</s0></fA45><fA47 i1="01" i2="1"><s0>01-0110005</s0></fA47><fA60><s1>P</s1></fA60><fA61><s0>A</s0></fA61><fA64 i1="01" i2="1"><s0>Pure and Applied Geophysics</s0></fA64><fA66 i1="01"><s0>CHE</s0></fA66><fC01 i1="01" l="ENG"><s0>GeoFEM (IIZUKA et al., 1999) is a parallel finite element analysis system intended for multi-physics, multi-scale problems of solid earth field phenomena. Very large linear elastic problems have already been resolved by parallel computation with GeoFEM. The next stage is to examine large-scale nonlinear problems using GeoFEM. The analysis of large-scale contact problems for fault zones is particularly important in the development of models that simulate the occurrence and cycle of earthquakes. This paper proposes a parallel FEM using an iterative solver with the augmented Lagrange method for solving large-scale contact problems. Direct solvers are presently applied to contact problem analysis because the matrix for such problems is ill-conditioned. However, direct solvers are not suitable for large-scale matrices. The augmented Lagrange method can improve the matrix conditions. The present study evaluates a parallel FEM using an iterative solver with the augmented Lagrange method. 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