A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization

Blanca Ayuso, Ludmil T. Zikatanov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We introduce a uniformly convergent iterative method for the systems arising from non-symmetric IIPG linear approximations of second order elliptic problems. The method can be viewed as a block Gauß-Seidel method in which the blocks correspond to restrictions of the IIPG method to suitably constructed subspaces. Numerical tests are included, showing the uniform convergence of the iterative method in an energy norm.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
PublisherSpringer Verlag
Pages335-342
Number of pages8
ISBN (Print)9783642113031
DOIs
StatePublished - Jan 1 2011

Publication series

NameLecture Notes in Computational Science and Engineering
Volume78 LNCSE
ISSN (Print)1439-7358

Fingerprint

Interior Penalty
Discontinuous Galerkin
Iterative methods
Discretization
Iteration
Second-order Elliptic Problems
Linear Approximation
Uniform convergence
Subspace
Restriction
Norm
Energy

All Science Journal Classification (ASJC) codes

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

Cite this

Ayuso, B., & Zikatanov, L. T. (2011). A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization. In Domain Decomposition Methods in Science and Engineering XIX (pp. 335-342). (Lecture Notes in Computational Science and Engineering; Vol. 78 LNCSE). Springer Verlag. https://doi.org/10.1007/978-3-642-11304-8_38
Ayuso, Blanca ; Zikatanov, Ludmil T. / A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization. Domain Decomposition Methods in Science and Engineering XIX. Springer Verlag, 2011. pp. 335-342 (Lecture Notes in Computational Science and Engineering).
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Ayuso, B & Zikatanov, LT 2011, A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization. in Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol. 78 LNCSE, Springer Verlag, pp. 335-342. https://doi.org/10.1007/978-3-642-11304-8_38

A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization. / Ayuso, Blanca; Zikatanov, Ludmil T.

Domain Decomposition Methods in Science and Engineering XIX. Springer Verlag, 2011. p. 335-342 (Lecture Notes in Computational Science and Engineering; Vol. 78 LNCSE).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Ayuso B, Zikatanov LT. A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization. In Domain Decomposition Methods in Science and Engineering XIX. Springer Verlag. 2011. p. 335-342. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-642-11304-8_38