4 citations · 6 across the 4 of their papers we have counts for
5 papers
Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds
Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
The higher-order guaranteed lower eigenvalue bounds of the Laplacian in the recent work by Carstensen, Ern, and Puttkammer [Numer. Math. 149, 2021] require a parameter $C_{\mathrm{…
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…
Pressure-improved Scott-Vogelius type elements
Nis-Erik Bohne, Benedikt Gräßle, Stefan A. Sauter
The Scott-Vogelius element is a popular finite element for the discretization of the Stokes equations which enjoys inf-sup stability and gives divergence-free velocity approximatio…
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…