4 citations · 6 across the 4 of their papers we have counts for
4 papers
Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains
Carsten Carstensen, Benedikt Gräßle
The a posteriori error analysis of the classical Argyris finite element methods dates back to 1996, while the optimal convergence rates of associated adaptive finite element scheme…
A fractional-order trace-dev-div inequality
Carsten Carstensen, Norbert Heuer
The trace-dev-div inequality in controls the trace in the norm of by that of the deviatoric part plus the norm of the divergence of a quadratic tensor field d…
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
An abstract property (H) is the key to a complete a priori error analysis in the (discrete) energy norm for several nonstandard finite element methods in the recent work [Lowest-or…
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
A general a posteriori error analysis applies to five lowest-order finite element methods for two fourth-order semi-linear problems with trilinear non-linearity and a general sourc…