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Newton‐ vs. Multilevel‐Newton method in the FEM
Author(s) -
Hartmann Stefan
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410140
Subject(s) - newton's method , finite element method , computation , mathematics , displacement (psychology) , element (criminal law) , mathematical analysis , nonlinear system , algorithm , physics , structural engineering , engineering , psychology , quantum mechanics , political science , law , psychotherapist
In this presentation it is shown that in implicit finite element computations based on material models of evolutionary type the resulting system of non‐linear equations is usually not solved by means of the classical Newton‐Raphson method which is frequently stated. It is emphasized that the so‐called Multilevel‐Newton algorithm yields the known local and global schemes of stress or internal variables and nodal displacement computations. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)