41 citations · 146 across the 38 of their papers we have counts for
5 papers · 1 filter
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…
Direct reconstruction for acoustic inverse Born scattering
Nuutti Hyvönen, Lisa Schätzle
We consider the inverse medium scattering problem for the Helmholtz equation in two dimensions, i.e., the task to recover a compactly supported penetrable two-dimensional scatterer…
Möbius-transformed trapezoidal rule for polynomial weights
Nuutti Hyvönen, Yuya Suzuki
This work studies numerical integration by the Möbius-transformed trapezoidal rule, which combines the classical trapezoidal rule with a change of variables induced by a Möbius tra…
A bilinear inverse problem with forward operator inaccuracy applied to neonatal atlas-based diffuse optical tomography
Aada Hakula, Pauliina Hirvi, Nuutti Hyvönen
In this work, we assume to have a set of candidate forward operator matrices and suggest principal component analysis for modeling their variation from the mean. We use this princi…
Total variation regularization with reduced basis in electrical impedance tomography
A. Hannukainen, N. Hyvönen, V. Toresen
This work considers using reduced basis techniques in connection to (smoothened) total variation regularization in electrical impedance tomography, but analogous ideas can also be…