Cauchy problem for Laplace equation: An observer based approach

Muhammad Usman Majeed, Chadia Zayane-Aissa, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

A method to solve Cauchy Problem for Laplace equation using state observers is proposed. It is known that this problem is ill-posed. The domain under consideration is simple lipschitz in 2 with a hole. The idea is to recover the solution over whole domain from the observations on outer boundary. Proposed approach adapts one of the space variables as a time variable. The observer developed to solve Cauchy problem for the Laplace's equation is compuationally robust and accurate. © 2013 IEEE.
Original languageEnglish (US)
Title of host publication3rd International Conference on Systems and Control
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages659-664
Number of pages6
ISBN (Print)9781479902750
DOIs
StatePublished - Oct 2013

Fingerprint Dive into the research topics of 'Cauchy problem for Laplace equation: An observer based approach'. Together they form a unique fingerprint.

Cite this