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

2 Scopus citations


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)
Number of pages6
ISBN (Print)9781479902750
StatePublished - Oct 2013

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01


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