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math.DG2025
Reconstruction of anisotropic stiffness tensors from partial data around one polarization
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension with an anisot…
math.DG2025
Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, lea…
math.DG2024
Geometric inverse problems on gas giants
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
On gas giant planets the speed of sound is isotropic and goes to zero at the surface. Geometrically, this corresponds to a Riemannian manifold whose metric tensor has a conformal b…