TY - GEN

T1 - Cauchy problem for Laplace equation: An observer based approach

AU - Majeed, Muhammad Usman

AU - Zayane-Aissa, Chadia

AU - Laleg-Kirati, Taous-Meriem

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/10

Y1 - 2013/10

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/564811

UR - http://ieeexplore.ieee.org/document/6750929/

UR - http://www.scopus.com/inward/record.url?scp=84896683954&partnerID=8YFLogxK

U2 - 10.1109/ICoSC.2013.6750929

DO - 10.1109/ICoSC.2013.6750929

M3 - Conference contribution

SN - 9781479902750

SP - 659

EP - 664

BT - 3rd International Conference on Systems and Control

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -