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A Block Solver for the Exponentially Fitted IIPG-0 Method

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Domain Decomposition Methods in Science and Engineering XX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 91))

Summary

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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Bibliography

  1. Blanca Ayuso de Dios and Ludmil Zikatanov. Uniformly convergent iterative methods for discontinuous Galerkin discretizations. J. Sci. Comput., 40(1–3):4–36, 2009.

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Acknowledgements

This work started while the first two authors were visiting the IMATI-CNR, Pavia in October 2010. Thanks go to the IMATI for the hospitality and support. First author was partially supported by MINECO grant MTM2011-27739-C04-04 and GENCAT grant 2009-SGR-345. Second author was supported by CONICET, Argentina. The fourth author was supported in part by National Science Foundation NSF-DMS 0810982.

Author information

Authors and Affiliations

  1. Centre de Recerca Matemàtica, Barcelona, Spain

    Blanca Ayuso de Dios

  2. Departamento de Matemática, Universidad de Buenos Aires & CONICET, Buenos Aires, Argentina

    Ariel Lombardi

  3. IMATI-CNR, Pavia, Italy

    Paola Pietra

  4. Department of Mathematics, Penn State University, University Park, USA

    Ludmil Zikatanov

Authors
  1. Blanca Ayuso de Dios
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  2. Ariel Lombardi
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  3. Paola Pietra
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  4. Ludmil Zikatanov
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Corresponding author

Correspondence to Blanca Ayuso de Dios .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Randolph Bank

  2. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Michael Holst

  3. , Courant Institute of Mathematical, New York University, Mercer Street 251, New York, 10012-1185, New York, USA

    Olof Widlund

  4. , Department of Mathematics, Pennsylvania State University, State College, 16802, Pennsylvania, USA

    Jinchao Xu

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© 2013 Springer-Verlag Berlin Heidelberg

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de Dios, B.A., Lombardi, A., Pietra, P., Zikatanov, L. (2013). A Block Solver for the Exponentially Fitted IIPG-0 Method. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_27

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