Geodesic
The kantorovich projection method in the generalized quadratic spectrum approximation
Numerical methods and programming, Tome 23 (2022) no. 3, pp. 240-247

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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.
Keywords: spectral approximation, Kantorovich projection, eigenvalue.
Mots-clés : spectral pollution 
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     title = {The kantorovich projection method in the generalized quadratic spectrum approximation},
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Somia Kamouche; Hamza Guebbai; Mourad Ghiat; Muhammet Kurulay. The kantorovich projection method in the generalized quadratic spectrum approximation. Numerical methods and programming, Tome 23 (2022) no. 3, pp. 240-247. http://geodesic.mathdoc.fr/item/VMP_2022_23_3_a3/