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A Story on Adaptive Finite Element Computations for Elliptic Eigenvalue Problems

In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

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  • Agnieszka Międlar

    (École Polytechnique Fédérale de Lausanne, ANCHP – MATHICSE
    Technische Universität Berlin, Institut für Mathematik)

Abstract

We briefly survey the recent developments in adaptive finite element approximations of eigenvalue problems arising from elliptic, second-order, selfadjoint partial differential equations (PDEs). The main goal of this paper is to present the variety of subjects and corresponding results contributing to this very complex and broad area of research, and to provide a reader with a relevant sources of information for further investigations.

Suggested Citation

  • Agnieszka Międlar, 2015. "A Story on Adaptive Finite Element Computations for Elliptic Eigenvalue Problems," Springer Books, in: Peter Benner & Matthias Bollhöfer & Daniel Kressner & Christian Mehl & Tatjana Stykel (ed.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, edition 127, chapter 0, pages 223-255, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-15260-8_9
    DOI: 10.1007/978-3-319-15260-8_9
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