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Efficient Finite Element Analysis of Inelastic Structures with Iterative Solvers
Author(s) -
Quint Karsten J.,
Hartmann Stefan,
Tebbens Jurjen Duintjer,
Meister Andreas
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810331
Subject(s) - finite element method , solver , mathematics , computation , iterative and incremental development , simple (philosophy) , linear system , computer science , iterative method , process (computing) , diagonal , algorithm , mathematical optimization , computational science , mathematical analysis , structural engineering , geometry , engineering , philosophy , software engineering , epistemology , operating system
This article treats the efficient solution of linear systems of equations which arise during the iterative process within the finite element analysis of inelastic structures. For the finite element analysis high order time integration methods and diagonally implicit Runge–Kutta methods (DIRK), in combination with an inexact Multilevel–Newton algorithm (MLNA) are applied. Up to 80% of the total computation time is spent by the solver for the linear systems, which suggests investigating this process. Two simple strategies to speed up the solution of the linear systems are described. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)