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The Reduced Basis Element Method for Fluid Flows

  • Alf Emil Løvgren
  • Yvon Maday
  • Einar M. Rønquist
Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Abstract

The reduced basis element approximation is a discretization method for solving partial differential equations that has inherited features from the domain decomposition method and the reduced basis approximation paradigm in a similar way as the spectral element method has inherited features from domain decomposition methods and spectral approximations. We present here a review of the method directed to the application of fluid flow simulations in hierarchical geometries. We present the rational and the basics of the method together with details on the implementation. We illustrate also the rapid convergence with numerical results.

Keywords

Stokes Problem Posteriori Error Estimation Domain Decomposition Method Spectral Element Method Lebesgue Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Alf Emil Løvgren
  • Yvon Maday
  • Einar M. Rønquist

There are no affiliations available

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