3 papers
math.NA2023
Shape Optimization by Constrained First-Order Least Mean Approximation
Gerhard Starke
In this work, the problem of shape optimization, subject to PDE constraints, is reformulated as an best approximation problem under divergence constraints to the shape tensor…
math.NA2020
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem
F. Bertrand, G. Starke
A posteriori error estimates are constructed for the three-field variational formulation of the Biot problem involving the displacements, the total pressure and the fluid pressure.…
math.NA2018
Weakly symmetric stress equilibration and a posteriori error estimation for linear elasticity
Fleurianne Bertrand, Bernhard Kober, Marcel Moldenhauer +1
A stress equilibration procedure for linear elasticity is proposed and analyzed in this paper with emphasis on the behavior for (nearly) incompressible materials. Based on the disp…