A dimension decomposition approach based on iterative observer design for an elliptic Cauchy problem
dc.contributor.author | Majeed, Muhammad Usman | * |
dc.contributor.author | Laleg-Kirati, Taous-Meriem | * |
dc.date.accessioned | 2015-07-13T12:33:49Z | en |
dc.date.available | 2015-07-13T12:33:49Z | en |
dc.date.issued | 2015-07-13 | en |
dc.identifier.uri | http://hdl.handle.net/10754/559953 | en |
dc.description.abstract | A state observer inspired iterative algorithm is presented to solve boundary estimation problem for Laplace equation using one of the space variables as a time-like variable. Three dimensional domain with two congruent parallel surfaces is considered. Problem is set up in cartesian co-ordinates and Laplace equation is re-written as a first order state equation with state operator matrix A and measurements are provided on the Cauchy data surface with measurement operator C. Conditions for the existence of strongly continuous semigroup generated by A are studied. Observability conditions for pair (C, A) are provided in infinite dimensional setting. In this given setting, special observability result obtained allows to decompose three dimensional problem into a set of independent two dimensional sub-problems over rectangular cross-sections. Numerical simulation results are provided. | en |
dc.language.iso | en | en |
dc.subject | Boundary Estimation | en |
dc.subject | Observers | en |
dc.subject | elliptic equation | en |
dc.subject | infinite dimensional systems | en |
dc.title | A dimension decomposition approach based on iterative observer design for an elliptic Cauchy problem | en |
dc.type | Article | en |
dc.contributor.department | Applied Mathematics and Computational Science Program | * |
dc.eprint.version | Pre-print | en |
dc.contributor.affiliation | King Abdullah University of Science and Technology (KAUST) | * |
refterms.dateFOA | 2018-06-14T08:00:11Z |