Proceedings of the Centre for Mathematics and its Applications

Inverse problems using nodal position data - uniqueness results, algorithms and bounds

Ole H. Hald and Joyce R. McLaughlin

Full-text: Open access

Abstract

In this paper we present results for the inverse problem where the data is nodal positions. In the specific results to be stated here the solutions are spacially varying parameters, i.e., coefficients in differential operators of second order. We will also discuss future research goals for this type of inverse problem.

Article information

Source
Special Program on Inverse Problems. R.S. Anderssen and G.N. Newsam, eds. Proceedings of the Centre for Mathematical Analysis, v. 17. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 32-59

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416336179

Mathematical Reviews number (MathSciNet)
MR1000355

Citation

Hald, Ole H.; McLaughlin, Joyce R. Inverse problems using nodal position data - uniqueness results, algorithms and bounds. Special Program on Inverse Problems, 32--59, Centre for Mathematical Analysis, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416336179


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