Layer-stripping and parameter reconstruction for a hyperbolic equation in a three-dimensional inhomogeneous half-space

Jiasu Cao, Sailing He and Vaughan H. Weston

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 5, 511-525

Abstract: A time domain wave-splitting approach to the inverse problem for a hyperbolic differential equation in an inhomogeneous half-space is considered (the wave velocity is assumed to be constant). A layer stripping method is used to reconstruct the parameter in a non-iterative way, using the reflected field which is produced by an exterior step-function point source. Local continuation formulas of the field are used, and in particular the continuation formulas for the field in the vicinity of a discontinuous wavefront are derived. Numerical results for data continuation and the reconstruction of the dissipation coefficient are presented.

Keywords: Three-dimensional inverse problem; Hyperbolic equation; Layer stripping; Three domain; Wave-splitting (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:50:y:1999:i:5:p:511-525

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