Henrik Garde

collaborators

4 papers

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…

math.FA2024

Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence

Horia Cornean, Henrik Garde, Arne Jensen

We extend recent results on discrete approximations of the Laplacian in $R^{d}$ with norm resolvent convergence to the corresponding results for Dirichlet and Neumann Laplac…

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

Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence

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