RT Journal Article
T1 A new convergent algorithm to approximate potentials from fixed angle scattering data
A1 Barceló, Juan Antonio
A1 Castro, Carlos
A1 Luque Martínez, Teresa Elvira
A1 Vilela, María de la Cruz
AB We introduce a new iterative method to recover a real compact supported potential of the Schödinger operator from their fixed angle scattering data. The method combines a fixed point argument with a suitable approximation of the resolvent of the Schödinger operator by partial sums associated to its Born series. The main interest is that, unlike other iterative methods in the literature, each iteration is explicit (and therefore faster computationally) and a rigorous analytical result on the convergence of the iterations is proved. This result requires potentials with small norm in certain Sobolev spaces. As an application we show some numerical experiments that illustrate this convergence.
SN 0036-1399
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/99770
UL https://hdl.handle.net/20.500.14352/99770
LA eng
NO J.A. Barceló, C. Castro, T. Luque, and M.C. Vilela, “A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data,” SIAM J. Appl. Math. 78(5), 2714–2736 (2018).
DS Docta Complutense
RD 10 abr 2025