Identification Of A Parameter in Fourth-Order Partial Differential Equations By An Equation Error Approach

Authors

Nathan Bush, Rochester Institute of TechnologyFollow
Baasansuren Jadamba, Rochester Institute of TechnologyFollow
Akhtar A. Khan, Rochester Institute of TechnologyFollow
Fabio Raciti, Universita di Catania

Abstract

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.

Publication Date

2016

Comments

Originally published in "Mathematica Slovaca", Octocber 2015, Vol. 65, Issue No. 5, doi: 10.1515/ms-2015-0083

Document Type

Article

Department, Program, or Center

School of Mathematical Sciences (COS)

Recommended Citation

Bush, Nathan; Jadamba, Baasansuren; Khan, Akhtar A.; and Raciti, Fabio, "Identification Of A Parameter in Fourth-Order Partial Differential Equations By An Equation Error Approach" (2016). Mathematica Slovaca, 65 (), 1--13. Accessed from
https://repository.rit.edu/article/1804

Campus

RIT – Main Campus