Numerical identification of a spatially varying diffusion coefficient
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- by Gerard R. Richter PDF
- Math. Comp. 36 (1981), 375-386 Request permission
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 $O(h)$ when certain conditions are met.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- 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