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Certified Error Control

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

The development of effective and reliable a posteriori error estimators for the field variable or an output of interest is crucial to ensure the reliability and efficiency of the reduced basis approximations. Reduced basis approximations are problem dependent since discretizations are problem specific.

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References

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Authors and Affiliations

  1. EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne EPFL, Lausanne, Switzerland

    Jan S. Hesthaven

  2. SISSA MathLab, International School for Advanced Studies, Trieste, Italy

    Gianluigi Rozza

  3. Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, CNRS, Paris Cedex 05, France

    Benjamin Stamm

Authors
  1. Jan S. Hesthaven
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  2. Gianluigi Rozza
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  3. Benjamin Stamm
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Correspondence to Jan S. Hesthaven .

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Hesthaven, J.S., Rozza, G., Stamm, B. (2016). Certified Error Control. In: Certified Reduced Basis Methods for Parametrized Partial Differential Equations. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-22470-1_4

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