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Method of fictitious regions for one class of fourth-order quasilinear elliptical equations

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Abstract

We investigate the application of the fictitious region method to fourth-order quasilinear elliptical equations with Dirichlet and Neumann conditions. Convergence bounds are established for two versions of the fictitious region method.

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 21–29, 1985

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Novichenko, V.N. Method of fictitious regions for one class of fourth-order quasilinear elliptical equations. J Math Sci 54, 766–773 (1991). https://doi.org/10.1007/BF01097585

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  • DOI: https://doi.org/10.1007/BF01097585

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