caa a22 4500 475814088 CHVBK 20180406123805.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/PL00001077 doi (NATIONALLICENCE)springer-10.1007/PL00001077 Nonlinear Structural Subsystem of GeoFEM for Fault Zone Analysis [Elektronische Daten] [M. Iizuka, H. Okuda, G. Yagawa] Abstrac: —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. Birkhauser Verlag Basel,, 2000 Key Words: Fault zone, contact problem, augmented Lagrange method, iterative solver, GeoFEM nationallicence Iizuka M. Research Organization for Information Science & Technology-RIST, 1-18-16 Hamamatsucho Minato-ku Tokyo, 105-0013, Japan. E-mail: iizuka@tokyo.rist.or.jp, JP aut Okuda H. Department of Mechanical Engineering and Materials Science, Faculty of Engineering, Yokohama National University, 79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067 Japan. E-mail: okuda@typhoon.cm.me.ynu.ac.jp, JP aut Yagawa G. Department of Quantum Engineering and Systems Science, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku Tokyo, 113-0033 Japan. E-mail: yagawa@garlic.q.t.u-tokyo.ac.jp, JP aut https://doi.org/10.1007/PL00001077 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001077 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Iizuka M. Research Organization for Information Science & Technology-RIST, 1-18-16 Hamamatsucho Minato-ku Tokyo, 105-0013, Japan. E-mail: iizuka@tokyo.rist.or.jp, JP aut NATIONALLICENCE 700 1- Okuda H. Department of Mechanical Engineering and Materials Science, Faculty of Engineering, Yokohama National University, 79-5 Jobandai Hodogaya-ku Yokohama City, 240-0067 Japan. E-mail: okuda@typhoon.cm.me.ynu.ac.jp, JP aut NATIONALLICENCE 700 1- Yagawa G. Department of Quantum Engineering and Systems Science, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku Tokyo, 113-0033 Japan. E-mail: yagawa@garlic.q.t.u-tokyo.ac.jp, JP aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer