Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions

Authors:
Rafael Muñoz-Sola
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
1997

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Abstract

We construct a stable polynomial lifting on a tetrahedron, given polynomial traces defined on its faces satisfying continuity conditions along the edges. We apply this result to establish the optimal convergence rate of the h-p version of the finite element method in dimension three assuming the solution to be regular.