The Kantorovich projection method in the generalized quadratic spectrum approximation

Authors

DOI:

https://doi.org/10.26089/NumMet.v23r315

Keywords:

Spectral pollution, Spectral approximation, Kantorovich Projection, Eigenvalue

Abstract

The objective of this paper is to construct a generalized quadratic spectrum approximation based on the Kantorovich projection method which llows us to deal with the spectral pollution problem. For this purpose, we prove that the property U (see Eq. 3) holds under weaker conditions than the norm and the collectively compact convergence. Numerical results illustrate the effectiveness and the convergence of our method.

Author Biographies

  • Somia Kamouche, University 08 mai 1945

    University 08 mai 1945,
    Department of Mathematics, Laboratory of Applied Mathematics and Modeling
    P. 401, 24000, Guelma, Algeria
    • Researcher

  • Hamza Guebbai, University 08 mai 1945

    University 08 mai 1945,
    Department of Mathematics, Laboratory of Applied Mathematics and Modeling
    P. 401, 24000, Guelma, Algeria
    • Leading Researcher

  • Mourad Ghiat, University 08 mai 1945

    University 08 mai 1945,
    Department of Mathematics, Laboratory of Applied Mathematics and Modeling
    P. 401, 24000, Guelma, Algeria
    • Leading Researcher

  • Muhammet Kurulay, Yıldız Technical University

    Yıldız Technical University,
    Faculty of Chemistry and Metallurgy, Department of Mathematics Engineering
    Davutpasa Campus Esenler, 34220, Istanbul, Turkey
    • Researcher

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Published

2022-09-15

Issue

Vol. 23 (2022): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

License

Copyright (c) 2022 Сумайя Камуш, Хамза Гибби, Мурад Гият, Мухаммед Курулай

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