Richter, Gerard R. Numerical identification of a spatially varying diffusion coefficient. (English) Zbl 0474.65065 Math. Comput. 36, 375-386 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 19 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35R30 Inverse problems for PDEs 35K05 Heat equation 35L45 Initial value problems for first-order hyperbolic systems Keywords:inverse problem; diffusion coefficient; modified upwind difference scheme × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Jacob Bear, Dynamics of Fluids in Porous Media, American Elsevier, New York, 1972, pp. 214-215. · Zbl 1191.76001 [2] Richard S. Falk, Error estimates for the numerical identification of a variable coefficient, Math. Comp. 40 (1983), no. 162, 537 – 546. · Zbl 0551.65083 [3] E. O. Frind & G. F. Pinder, ”Galerkin solution of the inverse problem for aquifer transmissivity,” Water Resour. Res., v. 9, 1973, pp. 1397-1410. [4] David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, Berlin-New York, 1977. Grundlehren der Mathematischen Wissenschaften, Vol. 224. · Zbl 0361.35003 [5] R. W. Nelson, ”In-place determination of permeability distribution for heterogeneous porous media through analysis of energy dissipation,” Soc. Pet. Eng. J., v. 8, 1968, pp. 33-42. [6] D. A. Nutbrown, ”Identification of parameters in a linear equation of groundwater flow,” Water Resour. Res., v. 11, 1975, pp. 581-588. [7] Gerard R. Richter, An inverse problem for the steady state diffusion equation, SIAM J. Appl. Math. 41 (1981), no. 2, 210 – 221. · Zbl 0501.35075 · doi:10.1137/0141016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.