RT Journal Article
T1 Topological Derivatives for Shape Reconstruction
A1 Carpio Rodríguez, Ana María
A1 Rapún Banzo, María Luisa
AB Topological derivative methods are used to solve constrained optimization reformulations of inverse scattering problems. The constraints take the form ofHelmholtz or elasticity problems with different boundary conditions at the interface between the surrounding medium and the scatterers. Formulae for the topological derivatives are found by first computing shape derivatives and then performing suitable asymptotic expansions in domains with vanishing holes. We discuss integral methods for the numerical approximation of the scatterers using topological derivatives and implement a fast iterative procedure to improve the description of their number, size, location and shape.
PB Springer
SN 0075-8434
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/49859
UL https://hdl.handle.net/20.500.14352/49859
LA eng
NO Ministerio de Educación, Formación Profesional y Deportes (España)
DS Docta Complutense
RD 7 abr 2025