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On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains

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Abstract

We prove two theorems that enable one to reduce the problem of convergence of general characteristics of variational Dirichlet problems in variable domains to the problem of convergence of simpler characteristics of these problems. We describe the case where the convergence of simpler characteristics takes place.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    A. A. Kovalevskii

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  1. A. A. Kovalevskii
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Kovalevskii, A.A. On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains. Ukrainian Mathematical Journal 52, 1706–1723 (2000). https://doi.org/10.1023/A:1010479104200

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  • DOI: https://doi.org/10.1023/A:1010479104200

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