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Newton- vs. Multilevel-Newton method in the FEM

  1. Stefan Hartmann*

Article first published online: 1 DEC 2004

DOI: 10.1002/pamm.200410140

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PAMM

PAMM

Volume 4, Issue 1, pages 318–319, December 2004

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How to Cite

Hartmann, S. (2004), Newton- vs. Multilevel-Newton method in the FEM. Proc. Appl. Math. Mech., 4: 318–319. doi: 10.1002/pamm.200410140

Author Information

  1. Institute of Mechanics, University of Kassel, Mönchebergstr. 7, 34109 Kassel, Germany

*Phone: +49 561 804 2719, Fax: +49 561 804 2720

Publication History

  1. Issue published online: 1 DEC 2004
  2. Article first published online: 1 DEC 2004

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Abstract

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)

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