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On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients. - MaRDI portal

On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients. (Q664402)

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scientific article; zbMATH DE number 6010567
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On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients.
scientific article; zbMATH DE number 6010567

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    On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients. (English)
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    1 March 2012
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    In this paper the author extends his earlier results to a quasilinear elliptic 2D-problem with uncertain coefficients. The existence of the worst scenario is proved through of the convergence of a sequence of approximate worst scenario. Furthermore, it is shown that the Galerkin approximation of the state solution can be calculated by means of the Kachanov method as a limit of a sequence of solutions to linearized problems.
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    worst scenario problem
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    nonlinear differential equation
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    Galerkin approximation
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