Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods

By Carsten Carstensen, S. Funken. 2000

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Finite Element Methods (2000, background): “See also (Carstensen, 1999; Carstensen and Funken, 2000; Nochetto and Wahlbin, 2002).”
Guaranteed and robust a posteriori error estimates for singularly perturbed reaction–diffusion problems (2009, background): “12, that the constant Ct,K,σ can be evaluated as |σ|hK/|K|, see also Carstensen and Funken [5], Theorem 4.”
Morley Finite Element Method for the Eigenvalues of the Biharmonic Operator (2014, background): “…T satisﬁes Dϕ 3 | T = (dist( z 3 , F )) − 1 ν T as well as Deﬁne the operator A : V ℓ → V which acts as e An immediate consequence of this choice reads as e An integration by parts shows the integral mean property of the Hessian T and the trace inequality [11, 22] prove, for any T ∈ T ℓ , that .”