The determination of an unknown source for a space fractional advection dispersion equation

Handle URI:
http://hdl.handle.net/10754/564977
Title:
The determination of an unknown source for a space fractional advection dispersion equation
Authors:
Aldoghaither, Abeer ( 0000-0003-1729-8678 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 ) ; Liu, Dayan
Abstract:
In this paper, we are interested in the estimation of the source term for a space fractional advection dispersion equation using concentration and flux measurements at final time. An example of application is the identification of contamination source in groundwater transport. We propose to use the socalled modulating functions method which has been introduced for parameters estimation. This method allows to transfer the estimation problem into solving a system of algebraic equations. Numerical examples are given to illustrate the effectiveness and the robustness of the proposed method. Finally, a comparison between a Tikhonov-based optimization method and the modulating functions approach is presented.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA)
Conference/Event name:
10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, MESA 2014
Issue Date:
Sep-2014
DOI:
10.1109/MESA.2014.6935590
ARXIV:
arXiv:1401.3153
Type:
Conference Paper
ISBN:
9781479922802
Additional Links:
http://arxiv.org/abs/arXiv:1401.3153v1
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAldoghaither, Abeeren
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.contributor.authorLiu, Dayanen
dc.date.accessioned2015-08-04T07:26:52Zen
dc.date.available2015-08-04T07:26:52Zen
dc.date.issued2014-09en
dc.identifier.isbn9781479922802en
dc.identifier.doi10.1109/MESA.2014.6935590en
dc.identifier.urihttp://hdl.handle.net/10754/564977en
dc.description.abstractIn this paper, we are interested in the estimation of the source term for a space fractional advection dispersion equation using concentration and flux measurements at final time. An example of application is the identification of contamination source in groundwater transport. We propose to use the socalled modulating functions method which has been introduced for parameters estimation. This method allows to transfer the estimation problem into solving a system of algebraic equations. Numerical examples are given to illustrate the effectiveness and the robustness of the proposed method. Finally, a comparison between a Tikhonov-based optimization method and the modulating functions approach is presented.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://arxiv.org/abs/arXiv:1401.3153v1en
dc.titleThe determination of an unknown source for a space fractional advection dispersion equationen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journal2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA)en
dc.conference.date10 September 2014 through 12 September 2014en
dc.conference.name10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, MESA 2014en
dc.identifier.arxividarXiv:1401.3153en
kaust.authorLaleg-Kirati, Taous-Meriemen
kaust.authorAldoghaither, Abeeren
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