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Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries

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Domain Decomposition Methods in Science and Engineering XIX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 78))

Abstract

In many fields of applications it is necessary to couple models with very different spatial and time scales and complex geometries. Amongst them are ocean-atmosphere coupling and far field simulations of underground nuclear waste disposal. For such problems with long time computations, a splitting of the time interval into windows is essential. This allows for robust and fast solvers in each time window, with the possibility of nonconforming space-time grids, general geometries, and ultimately adaptive solvers.

*the first two authors are partially supported by french ANR (COMMA) and GdR MoMaS.

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Author information

Authors and Affiliations

  1. LAGA, Université Paris XIII, Villetaneuse, 93430, France

    Laurence Halpern & Caroline Japhet*

  2. CSCAMM, University of Maryland, College Park, MD, 20742, USA

    Caroline Japhet*

  3. Département de mathématiques et applications, Ecole Normale supérieure, 45 rue d’Ulm, 75230, Paris cedex 05, France

    Jérémie Szeftel

Authors
  1. Laurence Halpern
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  2. Caroline Japhet*
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  3. Jérémie Szeftel
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Corresponding author

Correspondence to Laurence Halpern .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Xiangtan University, Xiangtan, 411105, China, People's Republic

    Yunqing Huang

  2. FB Mathematik und Informatik, Freie Universität Berlin, Arnimallee 6, Berlin, 14195, Berlin, Germany

    Ralf Kornhuber

  3. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Olof Widlund

  4. Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Jinchao Xu

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Halpern, L., Japhet*, C., Szeftel, J. (2011). Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_7

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