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Asymptotic Mesh Independence of Newtons Method Revisited

Please always quote using this URN:urn:nbn:de:0296-matheon-181
  • The paper presents a new affine invariant theory on asymptotic mesh independence of Newton’s method for discretized nonlinear operator equations. Compared to earlier attempts, the new approach is both much simpler and more intuitive from the algorithmic point of view. The theory is exemplified at collocation methods for ODE boundary value problems and at finite element methods for elliptic PDE problems.

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Metadaten
Author:Martin Weiser, Anton Schiela, Peter Deuflhard
URN:urn:nbn:de:0296-matheon-181
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2003/12/17
Release Date:2003/12/17
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:11
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