Edge-based finite element techniques for non-linear solid mechanics problems

Edge‐based data structures are used to improve computational efficiency of inexact Newton methods for solving finite element non‐linear solid mechanics problems on unstructured meshes. Edge‐based data structures are employed to store the stiffness matrix coefficients and to compute sparse matrix–vec...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2001-03, Vol.50 (9), p.2053-2068
Main Authors: Coutinho, Alvaro L. G. A., Martins, Marcos A. D., Alves, José L. D., Landau, Luiz, Moraes, Anderson
Format: Article
Language:English
Subjects:
edge-based data structures
finite elements
inexact Newton methods
solid mechanics
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Summary:Edge‐based data structures are used to improve computational efficiency of inexact Newton methods for solving finite element non‐linear solid mechanics problems on unstructured meshes. Edge‐based data structures are employed to store the stiffness matrix coefficients and to compute sparse matrix–vector products needed in the inner iterative driver of the inexact Newton method. Numerical experiments on three‐dimensional plasticity problems have shown that memory and computer time are reduced, respectively, by factors of 4 and 6, compared with solutions using element‐by‐element storage and matrix–vector products. Copyright © 2001 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.107