First-Order and Second-Order Adjoint Methods for the Inverse Problem of Identifying Non-linear Parameters in PDEs

M Cho,A A Khan,B Jadamba,R Kahler,M Sama

doi:10.1007/978-981-10-3758-0_9

First-Order and Second-Order Adjoint Methods for the Inverse Problem of Identifying Non-linear Parameters in PDEs

M Cho, A A Khan + Show 3 more

https://doi.org/10.1007/978-981-10-3758-0_9

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Publication Date: Jan 1, 2017

Citations: 1

Affiliation: Rochester Institute of Technology, National University of Distance Education

#Second-Order Adjoint Methods #First-Order Adjoint + Show 8 more

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Abstract

The primary objective of this work is to develop a computational framework for the inverse problem of identifying variable parameters appearing non-linearly in a variational problem. We propose a new first-order adjoint method and two new second-order adjoint methods. All the derivative formulas are given in continuous as well as discrete setting. Detailed numerical examples are given to show the feasibility of the proposed framework.

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