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Galerkin proper orthogonal decomposition methods for parabolic problems

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Summary.

In this work error estimates for Galerkin proper orthogonal decomposition (POD) methods for linear and certain non-linear parabolic systems are proved. The resulting error bounds depend on the number of POD basis functions and on the time discretization. Numerical examples are included.

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Authors and Affiliations

  1. Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstrasse 36, 8010 Graz, Austria; e-mail: {karl.kunisch, stefan.volkwein}@kfunigraz.ac.at, , , , , , AT

    K. Kunisch & S. Volkwein

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  1. K. Kunisch
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  2. S. Volkwein
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Received September 29, 1999 / Revised version received August 21, 2000 / Published online May 4, 2001

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Kunisch, K., Volkwein, S. Galerkin proper orthogonal decomposition methods for parabolic problems. Numer. Math. 90, 117–148 (2001). https://doi.org/10.1007/s002110100282

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  • DOI: https://doi.org/10.1007/s002110100282

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