A Block Solver for the Exponentially Fitted IIPG-0 Method

Blanca Ayuso de Dios, Ariel Lombardi, Paola Pietra, Ludmil Zikatanov

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
EditorsRandolph Bank, Michael Holst, Jinchao Xu, Olof Widlund
Pages239-246
Number of pages8
DOIs
StatePublished - Jul 25 2013

Publication series

NameLecture Notes in Computational Science and Engineering
Volume91
ISSN (Print)1439-7358

Fingerprint

Advection
Discontinuous Galerkin Method
Galerkin methods
Linear systems
Linear Systems
Unknown

All Science Journal Classification (ASJC) codes

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

Cite this

de Dios, B. A., Lombardi, A., Pietra, P., & Zikatanov, L. (2013). A Block Solver for the Exponentially Fitted IIPG-0 Method. In R. Bank, M. Holst, J. Xu, & O. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering XX (pp. 239-246). (Lecture Notes in Computational Science and Engineering; Vol. 91). https://doi.org/10.1007/978-3-642-35275-1_27
de Dios, Blanca Ayuso ; Lombardi, Ariel ; Pietra, Paola ; Zikatanov, Ludmil. / A Block Solver for the Exponentially Fitted IIPG-0 Method. Domain Decomposition Methods in Science and Engineering XX. editor / Randolph Bank ; Michael Holst ; Jinchao Xu ; Olof Widlund. 2013. pp. 239-246 (Lecture Notes in Computational Science and Engineering).
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de Dios, BA, Lombardi, A, Pietra, P & Zikatanov, L 2013, A Block Solver for the Exponentially Fitted IIPG-0 Method. in R Bank, M Holst, J Xu & O Widlund (eds), Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol. 91, pp. 239-246. https://doi.org/10.1007/978-3-642-35275-1_27

A Block Solver for the Exponentially Fitted IIPG-0 Method. / de Dios, Blanca Ayuso; Lombardi, Ariel; Pietra, Paola; Zikatanov, Ludmil.

Domain Decomposition Methods in Science and Engineering XX. ed. / Randolph Bank; Michael Holst; Jinchao Xu; Olof Widlund. 2013. p. 239-246 (Lecture Notes in Computational Science and Engineering; Vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

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T1 - A Block Solver for the Exponentially Fitted IIPG-0 Method

AU - de Dios, Blanca Ayuso

AU - Lombardi, Ariel

AU - Pietra, Paola

AU - Zikatanov, Ludmil

PY - 2013/7/25

Y1 - 2013/7/25

N2 - We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.

AB - We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.

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de Dios BA, Lombardi A, Pietra P, Zikatanov L. A Block Solver for the Exponentially Fitted IIPG-0 Method. In Bank R, Holst M, Xu J, Widlund O, editors, Domain Decomposition Methods in Science and Engineering XX. 2013. p. 239-246. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-642-35275-1_27