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Improved Iterative Solution for Finite‐Element Analysis on Microcomputers
Author(s) -
PURASINGHE RUPA,
MULLEN ROBERT
Publication year - 1989
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/j.1467-8667.1989.tb00011.x
Subject(s) - microcomputer , finite element method , stiffness matrix , computer science , iterative method , domain decomposition methods , convergence (economics) , mathematical optimization , decomposition , projection (relational algebra) , algorithm , decomposition method (queueing theory) , computational science , mathematics , engineering , structural engineering , telecommunications , ecology , chip , discrete mathematics , economics , biology , economic growth
This paper presents the development of an improved iterative technique for solving static finite‐element algebraic equations on microcomputers. The method is based on a projection of the residuals using a partial Choleski decomposition of the global stiffness matrix. A line search is employed to accelerate the convergence of the algorithm. A two‐step method based on different partial decomposition is developed and implemented. Efficient implementation of this technique on a small computer with no out‐of‐core storage is presented. The sample physical problems solved demonstrate the proposed method to be of advantage in microcomputer applications where computer storage is a concern.