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math.NA2025
A~posteriori error analysis for optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing up…
math.NA2024
Inf-sup stable discretization of the quasi-static Biot's equations in poroelasticity
C. Kreuzer, P. Zanotti
We propose a new full discretization of the Biot's equations in poroelasticity. The construction is driven by the inf-sup theory, which we recently developed. It builds upon the fo…