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Virtual enriching operators

  • Susanne C. BrennerEmail author
  • Li-Yeng Sung
Article
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Abstract

We construct bounded linear operators that map \(H^1\) conforming Lagrange finite element spaces to \(H^2\) conforming virtual element spaces in two and three dimensions. These operators are useful for the analysis of nonstandard finite element methods.

Keywords

Virtual elements Fourth order elliptic boundary value problems Enriching operator 

Mathematics Subject Classification

65N30 35J40 

Notes

Supplementary material

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Copyright information

© Istituto di Informatica e Telematica (IIT) 2019

Authors and Affiliations

  1. 1.Department of Mathematics and Center for Computation and TechnologyLouisiana State UniversityBaton RougeUSA

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