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Conjugate progector preconditioning for the solution of contact problems
Author(s) -
Dostál Zdeněk
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620340117
Subject(s) - conjugate gradient method , derivation of the conjugate gradient method , conjugate residual method , conjugate , mathematics , domain decomposition methods , quadratic programming , mathematical optimization , quadratic equation , projector , domain (mathematical analysis) , algorithm , computer science , mathematical analysis , geometry , finite element method , engineering , artificial intelligence , structural engineering , gradient descent , artificial neural network
Abstract We present a new algorithm for numerical solution of contactproblems without friction. The method is based on enhancing conjugate projector preconditioning into the standard conjugate gradient method for the solution of quadratic programming problems with inequality constraints. We show that the algorithm is correct and discuss the efficiency of the algorithm. The relation of the algorithm to the domain decomposition methods is also explained. The paper is supplied with numerical experiment.