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math.AP2017
How to place an obstacle having a dihedral symmetry centered at a given point inside a disk so as to optimize the fundamental Dirichlet eigenvalue
Anisa M. H. Chorwadwala, Souvik Roy
A generic model for the shape optimization problems we consider in this paper is the optimization of the Dirichlet eigenvalues of the Laplace operator with a volume constraint. We…
math.CA2017★ 15 cited
Image reconstruction from radially incomplete spherical Radon data
Gaik Ambartsoumian, Rim Gouia-Zarrad, Venkateswaran P. Krishnan +1
We study inversion of the spherical Radon transform with centers on a sphere (the data acquisition set). Such inversions are essential in various image reconstruction problems aris…