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Three methods for two-sided bounds of eigenvalues-A comparison

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    0489414 - MÚ 2019 RIV US eng J - Článek v odborném periodiku
    Vejchodský, Tomáš
    Three methods for two-sided bounds of eigenvalues-A comparison.
    Numerical Methods for Partial Differential Equations. Roč. 34, č. 4 (2018), s. 1188-1208. ISSN 0749-159X. E-ISSN 1098-2426
    Institucionální podpora: RVO:67985840
    Klíčová slova: complementarity * Crouzeix-Raviart elements * eigenvalue inclusions
    Obor OECD: Pure mathematics
    Impakt faktor: 1.633, rok: 2018
    https://onlinelibrary.wiley.com/doi/abs/10.1002/num.22251

    We compare three finite element‐based methods designed for two‐sided bounds of eigenvalues of symmetric elliptic second order operators. The first method is known as the Lehmann–Goerisch method. The second method is based on Crouzeix–Raviart nonconforming finite element method. The third one is a combination of generalized Weinstein and Kato bounds with complementarity‐based estimators. We concisely describe these methods and use them to solve three numerical examples. We compare their accuracy, computational performance, and generality in both the lowest and higher order case.
    Trvalý link: http://hdl.handle.net/11104/0283835

     
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