Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach-Reference-Cited by-同舟云学术

Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach

Published:2015-10-01 Issue:5 Volume:65 Page:1209-1221
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Bush Nathan¹,Jadamba Baasansuren²,Khan Akhtar A.³,Raciti Fabio

Affiliation:

1. Center for Applied and Computational Mathematics, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USA

2. Center for Applied and Computational Mathematics School of Mathematical Sciences Rochester Institute of Technology 85 Lomb Memorial Drive Rochester, New York 14623, USA

3. Dipartimento di Matematica e Informatica Universit`a di Catania V.le A.Doria, 95125-Catania, ITALY

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0083/pdf

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