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Descripción
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| Topological derivative methods are used to solve constrained optimization reformulations of inverse scattering problems. The constraints take the form of Helmholtz 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. | |
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Internacional
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Si |
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DOI
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Edición del Libro
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0 |
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Editorial del Libro
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Springer |
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ISBN
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978-3-540-78545-3 |
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Serie
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Lecture Notes in Mathematics |
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Título del Libro
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Inverse Problems and Imaging |
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Desde página
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85 |
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Hasta página
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134 |