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Virtual enriching operators (Q2279180)

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Virtual enriching operators
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    Virtual enriching operators (English)
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    12 December 2019
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    In this paper the authors construct bounded linear enriching operators that map \(H^1\) conforming Lagrange finite element spaces to \(H^2\) conforming virtual element spaces in two and three dimensions. These enriching operator are useful for a priori and a posteriori error analyses for fourth order elliptic problems, and they also play an important role in fast solvers for fourth order problems.
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    virtual elements
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    fourth order elliptic boundary value problems
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    enriching operator
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