4.5 Article

DISCRETE EXTENSION OPERATORS FOR MIXED FINITE ELEMENT SPACES ON LOCALLY REFINED MESHES

Journal

MATHEMATICS OF COMPUTATION
Volume 85, Issue 302, Pages 2639-2650

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/mcom/3074

Keywords

Finite elements; Stokes; conforming; divergence-free

Funding

  1. AFOSR [FA9550-12-1-0399]
  2. NSF [DMS 1216356]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [1216356] Funding Source: National Science Foundation

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The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and Nedelec discretizations of H(div) and H(curl) on locally refined partitions of a polyhedral domain into tetrahedra.

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