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Method of fictitious regions for second-order quasilinear elliptical equations

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Abstract

We consider the application of the fictitious region method to solve the first and second boundary-value problems for a second-order quasilinear elliptical equation. Rate of convergence bounds are obtained for two versions of the fictitious region method.

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Literature cited

  1. O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Embedding Theorems [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  2. S. A. Voitsekhovskii, “Method of fictitious regions for fourth-order quasilinear equations,” Vychisl. Prikl. Mat., No. 51, 42–50 (1983).

    Google Scholar 

  3. H. Gajewski, K. Groeger, and K. Zacharias, Nonlinear Operator Equations and Operator Differential Equations [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  4. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptical Equations [in Russian], Nauka, Moscow (1973).

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  5. L. N. Slobodetskii, “Generalized Sobolev spaces and their application to boundary-value problems for partial differential equations,” Uch. Zap. Leningrad. Gos. Ped. Inst.,197, 54–112 (1958).

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 7–14, 1985

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Voitsekhovskii, S.A. Method of fictitious regions for second-order quasilinear elliptical equations. J Math Sci 54, 751–757 (1991). https://doi.org/10.1007/BF01097582

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  • DOI: https://doi.org/10.1007/BF01097582

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