Asymptotic Mesh Independence of Newton's Method Revisited

Authors:
Martin Weiser;Anton Schiela;Peter Deuflhard
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

Citing 0
Cited 2

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Abstract

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 finite element methods for elliptic PDE problems.