A domain decomposition based two-level newton scheme for nonlinear problems

Deepak V. Kulkarni, Daniel A Tortorelli

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present two non-overlapping domain decomposition based two-level Newton schemes for solving nonlinear problems and demonstrate their effectiveness by analyzing systems with balanced and unbalanced nonlinearities. They both have been implemented in parallel and show good scalability. The implementations accommodate non-symmetric matrices and unstructured meshes.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
EditorsRalf Kornhuber, Olivier Pironneau, Ronald Hoppe, Jacques P eriaux, Jinchao Xu, Olof Widlund
Pages615-622
Number of pages8
StatePublished - Dec 1 2005

Publication series

NameLecture Notes in Computational Science and Engineering
Volume40
ISSN (Print)1439-7358

Fingerprint

Nonoverlapping Domain Decomposition
Nonsymmetric Matrix
Unstructured Mesh
Domain Decomposition
Nonlinear Problem
Scalability
Nonlinearity
Decomposition
Demonstrate

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Cite this

Kulkarni, D. V., & Tortorelli, D. A. (2005). A domain decomposition based two-level newton scheme for nonlinear problems. In R. Kornhuber, O. Pironneau, R. Hoppe, J. P eriaux, J. Xu, & O. Widlund (Eds.), Domain Decomposition Methods in Scienceand Engineering (pp. 615-622). (Lecture Notes in Computational Science and Engineering; Vol. 40).

A domain decomposition based two-level newton scheme for nonlinear problems. / Kulkarni, Deepak V.; Tortorelli, Daniel A.

Domain Decomposition Methods in Scienceand Engineering. ed. / Ralf Kornhuber; Olivier Pironneau; Ronald Hoppe; Jacques P eriaux; Jinchao Xu; Olof Widlund. 2005. p. 615-622 (Lecture Notes in Computational Science and Engineering; Vol. 40).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kulkarni, DV & Tortorelli, DA 2005, A domain decomposition based two-level newton scheme for nonlinear problems. in R Kornhuber, O Pironneau, R Hoppe, J P eriaux, J Xu & O Widlund (eds), Domain Decomposition Methods in Scienceand Engineering. Lecture Notes in Computational Science and Engineering, vol. 40, pp. 615-622.
Kulkarni DV, Tortorelli DA. A domain decomposition based two-level newton scheme for nonlinear problems. In Kornhuber R, Pironneau O, Hoppe R, P eriaux J, Xu J, Widlund O, editors, Domain Decomposition Methods in Scienceand Engineering. 2005. p. 615-622. (Lecture Notes in Computational Science and Engineering).
Kulkarni, Deepak V. ; Tortorelli, Daniel A. / A domain decomposition based two-level newton scheme for nonlinear problems. Domain Decomposition Methods in Scienceand Engineering. editor / Ralf Kornhuber ; Olivier Pironneau ; Ronald Hoppe ; Jacques P eriaux ; Jinchao Xu ; Olof Widlund. 2005. pp. 615-622 (Lecture Notes in Computational Science and Engineering).
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