Henrik Garde

activity

20142026

most citedConvergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography

57 citations · 252 across the 26 of their papers we have counts for

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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

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…

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

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

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