4 papers
Monotonicity-Based Regularization for Shape Reconstruction in Linear Elasticity
Sarah Eberle, Bastian Harrach
We deal with the shape reconstruction of inclusions in elastic bodies. For solving this inverse problem in practice, data fitting functionals are used. Those work better than the r…
Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method
Sarah Eberle, Bastian Harrach
In this paper, we deal with the inverse problem of the shape reconstruction of inclusions in elastic bodies. The main idea of this reconstruction is based on the monotonicity prope…
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions
Sarah Eberle, Francesco Florian, Ralf Hiptmair +1
In this paper, we consider an acoustic wave transmission problem with mixed boundary conditions of Dirichlet, Neumann, and impedance type. The transmission interfaces may join the…
Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity
Sarah Eberle, Bastian Harrach, Houcine Meftahi +1
In this paper, we consider the inverse problem of recovering an isotropic elastic tensor from the Neumann-to-Dirichlet map. To this end, we prove a Lipschitz stability estimate for…