Cauchy problem for Laplace equation: An observer based approach

Handle URI:
http://hdl.handle.net/10754/564811
Title:
Cauchy problem for Laplace equation: An observer based approach
Authors:
Majeed, Muhammad Usman ( 0000-0001-6296-2158 ) ; Zayane-Aissa, Chadia; Laleg-Kirati, Taous Meriem
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
3rd International Conference on Systems and Control
Conference/Event name:
2013 3rd International Conference on Systems and Control, ICSC 2013
Issue Date:
Oct-2013
DOI:
10.1109/ICoSC.2013.6750929
Type:
Conference Paper
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMajeed, Muhammad Usmanen
dc.contributor.authorZayane-Aissa, Chadiaen
dc.contributor.authorLaleg-Kirati, Taous Meriemen
dc.date.accessioned2015-08-04T07:16:49Zen
dc.date.available2015-08-04T07:16:49Zen
dc.date.issued2013-10en
dc.identifier.doi10.1109/ICoSC.2013.6750929en
dc.identifier.urihttp://hdl.handle.net/10754/564811en
dc.description.abstractA 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.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleCauchy problem for Laplace equation: An observer based approachen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal3rd International Conference on Systems and Controlen
dc.conference.date29 October 2013 through 31 October 2013en
dc.conference.name2013 3rd International Conference on Systems and Control, ICSC 2013en
dc.conference.locationAlgiersen
kaust.authorMajeed, Muhammad Usmanen
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