2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
A DPG method for the circular arch problem
Norbert Heuer, Antti H. Niemi
We consider an elastic model for a circular arch that incorporates membrane, transverse shear, and bending effects. The central line of the arch is partitioned into elements, and a…
Minimum residual discretization of a semilinear elliptic problem
Carlos García Vera, Norbert Heuer, Dirk Praetorius
We propose a least-squares penalization as a means to extend the discontinuous Petrov-Galerkin (DPG) method with optimal test functions to a class of semilinear elliptic problems.…
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…