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.
Author: | Martin Weiser, Anton Schiela, Peter Deuflhard |
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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 |