Preconditioning operators and Sobolev gradients for nonlinear elliptic problems

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A preconditioning framework is presented for the iterative solution of nonlinear elliptic problems based on the preconditioning operator approach. Various fixed preconditioning operators are used in the iteration, which can be interpreted as a weighted Sobolev gradient method.

Original languageEnglish
Pages (from-to)1077-1092
Number of pages16
JournalComputers and Mathematics with Applications
Volume50
Issue number7
DOIs
Publication statusPublished - Oct 2005

Fingerprint

Sobolev Gradient
Nonlinear Elliptic Problems
Gradient methods
Preconditioning
Operator
Gradient Method
Iterative Solution
Iteration

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. / Karátson, J.; Faragó, I.

In: Computers and Mathematics with Applications, Vol. 50, No. 7, 10.2005, p. 1077-1092.

Research output: Contribution to journalArticle

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