Skip to main content
SpringerLink
Log in

Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problems

  • Conference paper
Domain Decomposition Methods in Science and Engineering XVI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 55))

  • 1583 Accesses

Abstract

Let Ω = R×Q, where Q is a bounded domain of R2, and consider the elliptic PDE of advection-diffusion-reaction type given by

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 31 (1977), pp. 629–651.

    Article  MATH  Google Scholar 

  2. L. Gerardo Giorda and F. Nataf, Optimized Schwarz Methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients, Tech. Rep. 561, CMAP (Ecole Polytechnique), December 2004.

    Google Scholar 

  3. L. Gerardo, Optimized Algebraic Schwarz Methods for strongly heterogeneous and anisotropic layered problems, Tech. Rep. 575, CMAP (Ecole Polytechnique), June 2005.

    Google Scholar 

  4. P.-L. Lions, On the Schwarz alternating method. III: a variant for nonoverlapping subdomains, in Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston, Texas, March 20–22, 1989, T. F. Chan, R. Glowinski, J. Périaux, and O. Widlund, eds., Philadelphia, PA, 1990, SIAM.

    Google Scholar 

  5. F.-X. Roux, F. Magoulès, S. Salmon, and L. Series, Optimization of interface operator based on algebraic approach, in Fourteenth International Conference on Domain Decomposition Methods, I. Herrera, D. E. Keyes, O. B. Widlund, and R. Yates, eds., ddm.org, 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, Italy

    Luca Gerardo-Giorda

  2. CNRS, UMR 7641, CMAP, École Polytechnique, France

    Frédéric Nataf

Authors
  1. Luca Gerardo-Giorda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Frédéric Nataf
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

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

    Olof B. Widlund

  2. Department of Applied Physics & Mathematics, Columbia University, 500 W. 120th Street, MC 4701, 10027, New York, NY, USA

    David E. Keyes

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this paper

Cite this paper

Gerardo-Giorda, L., Nataf, F. (2007). Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problems. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_19

Download citation

Publish with us

Policies and ethics

Search

Navigation