Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Parameter estimation problems for distributed systems using a multigrid method

Authors: Shlomo Ta'asan and Pravir Dutt
Journal: Quart. Appl. Math. 48 (1990), 387-396
MSC: Primary 65K99; Secondary 65P05
DOI: https://doi.org/10.1090/qam/1052143
MathSciNet review: MR1052143
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Abstract: We consider the problem of estimating spatially varying coefficients of partial differential equations from observation of the solution and of the right-hand side of the equation. We assume that the observations are distributed in the domain and that enough observations are given. A method of discretization and an efficient multigrid method for solving the resulting discrete systems are described. Numerical results are presented for estimation of coefficients in an elliptic and a parabolic partial differential equation.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1052143
Article copyright: © Copyright 1990 American Mathematical Society

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