246 citations · 467 across the 24 of their papers we have counts for
6 papers · 1 filter
Convergent adaptive hybrid higher-order schemes for convex minimization
Carsten Carstensen, Ngoc Tien Tran
This paper proposes two convergent adaptive mesh-refining algorithms for the hybrid high-order method in convex minimization problems with two-sided p-growth. Examples include the…
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 , …
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian
Carsten Carstensen, Sophie Puttkammer
An extra-stabilised Morley finite element method (FEM) directly computes guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplace Dirichlet eig…
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…
Lowest-order equivalent nonstandard finite element methods for biharmonic plates
Carsten Carstensen, Neela Nataraj
The popular (piecewise) quadratic schemes for the biharmonic equation based on triangles are the nonconforming Morley finite element, the discontinuous Galerkin, the interior…
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems
Carsten Carstensen, Rekha Khot, Amiya K. Pani
The nonconforming virtual element method (NCVEM) for the approximation of the weak solution to a general linear second-order non-selfadjoint indefinite elliptic PDE in a polygonal…