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Instance Optimality of the Adaptive Maximum Strategy
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نویسنده
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Diening Lars ,Kreuzer Christian ,Stevenson Rob
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منبع
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foundations of computational mathematics - 2016 - دوره : 16 - شماره : 1 - صفحه:33 -68
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چکیده
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In this paper, we prove that the standard adaptive finite element method with a (modified) maximum marking strategy is instance optimal for the total error, being the square root of the squared energy error plus the squared oscillation. this result will be derived in the model setting of poisson’s equation on a polygon, linear finite elements, and conforming triangulations created by newest vertex bisection.
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کلیدواژه
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Adaptive finite element method ,Maximum marking ,Instance optimality ,Newest vertex bisection ,41A25 ,65N12 ,65N30 ,65N50
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آدرس
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Mathematisches Institut der Universität München, Germany, Ruhr-Universität Bochum, Germany, University of Amsterdam, The Netherlands
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Authors
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