Cauchy problem for Laplace equation: An observer based approach

dc.contributor.author	Majeed, Muhammad Usman
dc.contributor.author	Zayane-Aissa, Chadia
dc.contributor.author	Laleg-Kirati, Taous-Meriem
dc.date.accessioned	2015-08-04T07:16:49Z
dc.date.available	2015-08-04T07:16:49Z
dc.date.issued	2013-10
dc.identifier.doi	10.1109/ICoSC.2013.6750929
dc.identifier.uri	http://hdl.handle.net/10754/564811
dc.description.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.
dc.publisher	Institute of Electrical and Electronics Engineers (IEEE)
dc.title	Cauchy problem for Laplace equation: An observer based approach
dc.type	Conference Paper
dc.contributor.department	Applied Mathematics and Computational Science Program
dc.contributor.department	Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journal	3rd International Conference on Systems and Control
dc.conference.date	29 October 2013 through 31 October 2013
dc.conference.name	2013 3rd International Conference on Systems and Control, ICSC 2013
dc.conference.location	Algiers
kaust.person	Majeed, Muhammad Usman