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Complementary Variational Principles and Nonconforming Trefftz Elements

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Numerische Behandlung von Differentialgleichungen Band 3

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Abstract

We consider convex variational problems

$$J\left( u \right) = \min !,u \in K,$$
(1.1)

where K is a convex subset of a real linear space X and J: X→R is a convex Gateaux-differentiable functional, and special discrete counterparts

$$J\left( {{u_h}} \right) = \min !,{u_h} \in {K_h}.$$
(1.2)

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstraße 50, D-2000, Hamburg 13, Germany

    Bodo Werner

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  1. Bodo Werner
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Clausthal, D-3392, Clausthal-Zellerfeld, Deutschland

    J. Albrecht

  2. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstrasse 55, D-2, Hamburg 13, Deutschland

    L. Collatz

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© 1981 Springer Basel AG

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Werner, B. (1981). Complementary Variational Principles and Nonconforming Trefftz Elements. In: Albrecht, J., Collatz, L. (eds) Numerische Behandlung von Differentialgleichungen Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 56. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5454-2_13

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  • DOI: https://doi.org/10.1007/978-3-0348-5454-2_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5455-9

  • Online ISBN: 978-3-0348-5454-2

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