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Identification of a parameter in fourth-order partial differential equations by an equation error approach

In: Mathematica Slovaca, vol. 65, no. 5
Nathan Bush - Baasansuren Jadamba - Akhtar A. Khan - Fabio Raciti

Details:

Year, pages: 2015, 1209 - 1221
Keywords:
inverse problem, equation error method, fourth-order boundary value problem, regularization, parameter identification, finite element method
DOI: https://doi.org/10.1515/ms-2015-0083
About article:
The objective of this short note is to employ an equation error approach to identify a variable parameter in fourth-order partial differential equations. Existence and convergence results are given for the optimization problem emerging from the equation error formulation. Finite element based numerical experiments show the effectiveness of the proposed framework.
How to cite:
ISO 690:
Bush, N., Jadamba, B., Khan, A., Raciti, F. 2015. Identification of a parameter in fourth-order partial differential equations by an equation error approach. In Mathematica Slovaca, vol. 65, no.5, pp. 1209-1221. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0083

APA:
Bush, N., Jadamba, B., Khan, A., Raciti, F. (2015). Identification of a parameter in fourth-order partial differential equations by an equation error approach. Mathematica Slovaca, 65(5), 1209-1221. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0083
About edition:
Published: 1. 10. 2015