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Träfflista för sökning "LAR1:lu ;pers:(Gustafsson Mats);srt2:(1997-1999)"

Sökning: LAR1:lu > Gustafsson Mats > (1997-1999)

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  • Gustafsson, Mats, et al. (författare)
  • An optimization approach to multi-dimensional time domain acoustic inverse problems
  • 1997
  • Rapport (övrigt vetenskapligt)abstract
    • An optimization approach to a multi-dimensional acoustic inverse problem<br /> in the time domain is considered. The density and/or the velocity are reconstructed<br /> by minimizing an objective functional. By introducing dual functions<br /> and using the Gauss divergence theorem, the gradient of the objective<br /> functional is found as an explicit expression. The parameters are then reconstructed<br /> by an iterative algorithm (the conjugate gradient method). The<br /> reconstruction algorithm is tested with noisy data, and these tests indicate<br /> that the algorithm is stable and robust. The computation time for the reconstruction<br /> is greatly improved when the analytic gradient is used.
  • Gustafsson, Mats (författare)
  • The Bremmer series for a multi-dimensional acoustic scattering problem
  • 1999
  • Rapport (övrigt vetenskapligt)abstract
    • The Bremmer series is used to reduce a complex scattering problem to a<br /> sequence of simpler single scattering problems. In the Bremmer series, the<br /> wave equation is first decomposed into a coupled system of one-way wave<br /> equations. The system is then decoupled into a sequence of one-way wave<br /> equations with a fixed point iteration. In this paper, a left symbol representation<br /> of the decomposition operator and the vertical-propagation operator<br /> are used. Time-domain convergence of the Bremmer series is shown for a<br /> set of dispersive medium models. The non-dispersive case is treated with an<br /> approximation procedure.
  • Gustafsson, Mats (författare)
  • Time domain theory of the macroscopic Maxwell equations
  • 1997
  • Rapport (övrigt vetenskapligt)abstract
    • A time domain description of linear macroscopic electromagnetic phenomena<br /> is considered. We show that it is always possible to model the constitutive<br /> relations with a symmetric, positive definite optical response together with a<br /> convolution integral. An initial-boundary value problem is formulated for the<br /> macroscopic Maxwell equations together with a reflection operator modeling<br /> the exterior region. It is shown that the initial-boundary value problem is<br /> well-posed. Dissipation and finite speed of propagation is also considered.
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