Estimation of discontinuous coefficients and boundary parameters for hyperbolic systems

Lamm, Patricia K.; Murphy, Katherine A.

doi:10.1090/qam/934677

Authors: Patricia K. Lamm and Katherine A. Murphy
Journal: Quart. Appl. Math. 46 (1988), 1-22
MSC: Primary 35L55; Secondary 35R05, 65P05, 86A15
DOI: https://doi.org/10.1090/qam/934677
MathSciNet review: 934677
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Abstract: We consider the problem of estimating discontinuous coefficients, including locations of discontinuities, that occur in second-order hyperbolic systems typical of those arising in 1-D surface seismic problems. In addition, we treat the problem of identifying unknown parameters that appear in boundary conditions for the system. A spline-based approximation theory is presented, together with related convergence findings and representative numerical examples.

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