Lamm, Patricia K. Estimation of discontinuous coefficients in parabolic systems: Applications to reservoir simulation. (English) Zbl 0612.93014 SIAM J. Control Optimization 25, 18-37 (1987). 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 Cited in 1 ReviewCited in 7 Documents MSC: 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 Keywords:parameter estimation; discontinuous coefficients; spline approximation; parabolic systems PDF BibTeX XML Cite \textit{P. K. Lamm}, SIAM J. Control Optim. 25, 18--37 (1987; Zbl 0612.93014) Full Text: DOI