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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations - MaRDI portal

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (Q527820)

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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
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    Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (English)
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    12 May 2017
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    The authors are concerned with a mathematical proof for the optimal convergence (at algebraic rates) of their previously introduced weighted-residual error estimator for isogeometric analysis of the boundary element methods (IGABEM). As a model problem they solve a weakly-singular 2D boundary integral equation by Galerkin BEM.
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    integral equation
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    weakly-singular
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    isogeometric analysis
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    boundary element method
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    ansatz spaces
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    non-uniform rational B-splines
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    mesh refinement
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    adaptive algorithm
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    linear convergence
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    optimal rates
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