246 citations · 467 across the 24 of their papers we have counts for
5 papers · 1 filter
Local parameter selection in the interior penalty method for the biharmonic equation
Philipp Bringmann, Carsten Carstensen, Julian Streitberger
The symmetric interior penalty method is one of the most popular discontinuous Galerkin methods for the biharmonic equation. This paper introduces an automatic local selectio…
Stabilization-free HHO a posteriori error control
Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle +1
The known a posteriori error analysis of hybrid high-order methods (HHO) treats the stabilization contribution as part of the error and as part of the error estimator for an effici…
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes
Carsten Carstensen, Rekha Khot, Amiya K. Pani
The lowest-order nonconforming virtual element extends the Morley triangular element to polygons for the approximation of the weak solution to the biharmonic equ…
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs
C. Carstensen, Neela Nataraj, Amiya K. Pani
For a well-posed non-selfadjoint indefinite second-order linear elliptic PDE with general coefficients in and symmetric and uniformly positive d…
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates
Carsten Carstensen, Sophie Puttkammer
Guaranteed lower Dirichlet eigenvalue bounds (GLB) can be computed for the -th Laplace operator with a recently introduced extra-stabilized nonconforming Crouzeix-Raviart (…