Finite element approximation of the Dirichlet problem using the boundary penalty method (Q1819911)

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scientific article; zbMATH DE number 3994984
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Finite element approximation of the Dirichlet problem using the boundary penalty method
scientific article; zbMATH DE number 3994984

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    Finite element approximation of the Dirichlet problem using the boundary penalty method (English)
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    1986
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    This paper discusses a finite element approximation of the Dirichlet problem for a second order selfadjoint elliptic equation by the boundary penalty method. Based on a mathematical foundation some theorems are proved for uniqueness and existence of solutions. Finally, a numerical example is presented for confirmity of optimal \(H^ 1\) solution.
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    finite element
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    Dirichlet problem
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    boundary penalty method
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    numerical example
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