2 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
Local discontinuous Galerkin FEM for convex minimization
Carsten Carstensen, Ngoc Tien Tran
The heart of the a priori and a posteriori error control in convex minimization problems is the sharp control of the differences of discrete and exact minimal energy. Conforming fi…
Normal-normal continuous symmetric stresses in mixed finite element elasticity
Carsten Carstensen, Norbert Heuer
The classical continuous mixed formulation of linear elasticity with pointwise symmetric stresses allows for a conforming finite element discretization with piecewise polynomials o…
Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
Carsten Carstensen, Norbert Heuer
We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes.…
A fractional-order trace-dev-div inequality
Carsten Carstensen, Norbert Heuer
The trace-dev-div inequality in controls the trace in the norm of by that of the deviatoric part plus the norm of the divergence of a quadratic tensor field d…