3 citations · 4 across the 5 of their papers we have counts for
9 papers
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 (…
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements
C. Carstensen, S. Sauter
In this paper, we prove that Crouzeix-Raviart finite elements of polynomial order , odd, are inf-sup stable for the Stokes problem on triangulations. For , …
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides
Carsten Carstensen, Neela Nataraj
This article on nonconforming schemes for harmonic problems simultaneously treats the Crouzeix-Raviart () and the Morley finite elements () for the original and for m…
Morley Finite Element Method for the von Kármán Obstacle Problem
Carsten Carstensen, Sharat Gaddam, Neela Nataraj +2
This paper focusses on the von Kármán equations for the moderately large deformation of a very thin plate with the convex obstacle constraint leading to a coupled system of semilin…