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Estimation of discontinuous coefficients in parabolic systems: Applications to reservoir simulation. (English) Zbl 0612.93014
A spline-based technique for the estimation of spatially varying parameters in parabolic systems is considered. In particular, it is allowed that the parameters are discontinuous. The method is restricted to the case of one space dimension.
Reviewer: J.Sprekels

93B30 System identification
35R30 Inverse problems for PDEs
93C20 Control/observation systems governed by partial differential equations
35K10 Second-order parabolic equations
35R25 Ill-posed problems for PDEs
65D07 Numerical computation using splines
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
76S05 Flows in porous media; filtration; seepage
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