Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems (Q2838580)

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scientific article; zbMATH DE number 6185800
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Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
scientific article; zbMATH DE number 6185800

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    Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems (English)
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    10 July 2013
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    FEM-BEM coupling
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    a posteriori error estimate
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    adaptive algorithm
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    convergence
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    symmetric coupling
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    (nonlinear) interface problem
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    2D Laplacian
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    lowest-order Galerkin scheme
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    finite element method
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    boundary element method
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    The paper deals with the symmetric coupling of the finite element method and the boundary element method for the numerical solution of a (nonlinear) interface problem for the 2D Laplacian. The authors introduce some \((h-h/2)\) - type error estimators for the coupling of FEM and BEM and apply a symmetric coupling method and the lowest-order Galerkin scheme to obtain a (nonlinear) system of coupled FEM-BEM equations.
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