5 citations · 12 across the 4 of their papers we have counts for
4 papers
Locking-free hybrid high-order method for linear elasticity
Carsten Carstensen, Ngoc Tien Tran
The hybrid-high order (HHO) scheme has many successful applications including linear elasticity as the first step towards computational solid mechanics. The striking advantage is t…
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…
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…