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 -