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A modern approach to the solution of problems of classic elastoplasticity on parallel computers
Author(s) -
Meyer Arnd,
Michael Detlef
Publication year - 1997
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199705/06)4:3<205::aid-nla109>3.0.co;2-c
Subject(s) - mathematics , calculus (dental) , algebra over a field , pure mathematics , medicine , dentistry
The numerical solution of non‐linear problems in solid mechanics (e.g., elastic–plastic problems) may be very expensive in the case of the use of fine discretizations. There is a requirement for efficient numerical algorithms and very fast hardware. Modern parallel computers in combination with modern numerical techniques, such as the parallel preconditioned conjugate gradient method for solving large linear systems and the consequent use of a consistent linearization of the non‐linear problem, may lead to a superlinear speed up in comparison with equivalent single processor machines. The authors have developed a parallel experimental computer code using both techniques. The code is used for scientific investigations in the area of the identification of mechanical material parameters of metals. © 1997 John Wiley & Sons, Ltd.