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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