A two-level iteration method for solution of contact problems

authored by
Bahram Nour-Omid, Peter Wriggers
Abstract

The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.

External Organisation(s)
University of California at Berkeley
Type
Article
Journal
Computer Methods in Applied Mechanics and Engineering
Volume
54
Pages
131-144
No. of pages
14
ISSN
0045-7825
Publication date
02.1986
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s)
https://doi.org/10.1016/0045-7825(86)90122-2 (Access: Unknown)
 

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