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Paper detail

The Reduced Basis Multigrid scheme for the Virtual Element Method

We present a non-nested W-cycle multigrid scheme for the lowest order Virtual Element Method on polygonal meshes. To avoid the implicit definition of the Virtual Element space, which poses several issues in the computation of intergrid operators that underpin multigrid methods, the proposed scheme uses a fully-conforming auxiliary space constructed by cheaply computing the virtual basis functions via the reduced basis method.

preprint2026arXivOpen access
Paola F. AntoniettiSilvia BertoluzzaFabio Credali
math.NANumerical Analysis
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Paola F. AntoniettiSilvia BertoluzzaFabio Credali

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