Numerical identification of a spatially varying diffusion coefficient

Author:
Gerard R. Richter

Journal:
Math. Comp. **36** (1981), 375-386

MSC:
Primary 65M05; Secondary 65M10

DOI:
https://doi.org/10.1090/S0025-5718-1981-0606502-3

MathSciNet review:
606502

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Abstract: We consider the inverse problem of identifying a spatially varying diffusion coefficient on the basis of an observed solution to the forward problem. Under appropriate conditions, this inverse problem can be solved as a first order hyperbolic problem in the unknown coefficient. We provide a modified upwind difference scheme for this hyperbolic problem and prove that its convergence rate is when certain conditions are met.

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DOI:
https://doi.org/10.1090/S0025-5718-1981-0606502-3

Article copyright:
© Copyright 1981
American Mathematical Society