Discrete Extension Operators for Mixed finite element spaces on locally refined meshes
arXiv:1406.553414 citationsh-index: 43
Originality Incremental advance
AI Analysis
Provides a theoretical foundation for stable mixed finite element methods on adaptive meshes, benefiting computational scientists using hp-adaptive or locally refined grids.
The paper proves the existence of uniformly bounded discrete extension operators for Raviart-Thomas and Nédélec finite element spaces on locally refined tetrahedral meshes, enabling stable discretizations on non-conforming meshes.
The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and Nédélec discretisations of $H(div)$ and $H(curl)$ on locally refined partitions of a polyhedral domain into tetrahedra.