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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

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 $ O(h)$ 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

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