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Nodal Bases for the Serendipity Family of Finite Elements
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نویسنده
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Floater Michael S. ,Gillette Andrew
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منبع
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foundations of computational mathematics - 2017 - دوره : 17 - شماره : 4 - صفحه:879 -893
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چکیده
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Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension. for the purpose of computation, we also show how to express these functions as linear combinations of tensor-product polynomials.
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کلیدواژه
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Serendipity elements ,Multivariate interpolation ,Lower sets ,41A05 ,41A10 ,65D05 ,65N30
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آدرس
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University of Oslo, Department of Mathematics, Norway, University of Arizona, Department of Mathematics, USA
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Authors
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