3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
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.…