47 citations · 47 across the 4 of their papers we have counts for
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A shape derivative algorithm for reconstructing elastic dislocations in geophysics
Andrea Aspri, Elena Beretta, Arum Lee +1
We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measure…
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
Analysis of a model of elastic dislocations in geophysics
Andrea Aspri, Elena Beretta, Anna L. Mazzucato +1
We analyze a mathematical model of elastic dislocations with applications to geophysics, where by an elastic dislocation we mean an open, oriented Lipschitz surface in the interior…
Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space
Andrea Aspri, Elena Beretta, Corrado Mascia
Motivated by a vulcanological problem, we establish a sound mathematical approach for surface deformation effects generated by a magma chamber embedded into Earth's interior and ex…