Henrik Garde

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2026

Regularity and non-degeneracy of $Φ^{*} [I]$ implies regularity of the fixed boundary $\partial Ω$

Henrik Garde, Michael S. Vogelius

For a diffeomorphism $Φ$ of a domain $Ω$ onto itself, which is the identity on $\partial Ω$ , we prove that local regularity of the push-forward $Φ^{*} [I]$ implies local regul…

math.AP2026

Reconstruction of shear modulus inclusions in elastostatics via divergence-free localization

Henrik Garde, Nuutti Hyvönen, Valter Pohjola

We formulate an improved version of the monotonicity method for shape reconstruction in the inverse problem of linear elastostatics. We show that this method can reconstruct inclus…

math.AP2026

Direct reconstruction of general elastic inclusions

Sarah Eberle-Blick, Henrik Garde, Nuutti HyvÃ¶nen

The inverse problem of linear elasticity is to determine the LamÃ© parameters, which characterize the mechanical properties of a domain, from pairs of pressure activations and the…

Regularity and non-degeneracy of Φ∗[I] implies regularity of the fixed boundary ∂Ω

Reconstruction of shear modulus inclusions in elastostatics via divergence-free localization

Direct reconstruction of general elastic inclusions

Regularity and non-degeneracy of $Φ^{*} [I]$ implies regularity of the fixed boundary $\partial Ω$