Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Yanlai Chen; Jan S Hesthaven; Yvon Maday; Jeronimo Rodriguez; Xueyu Zhu

doi:10.1016/j.cma.2012.04.013

Back

Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Journal article

Peer reviewed

Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Yanlai Chen, Jan S Hesthaven, Yvon Maday, Jeronimo Rodriguez and Xueyu Zhu

Computer methods in applied mechanics and engineering, Vol.233, pp.92-108

08/01/2012

DOI: 10.1016/j.cma.2012.04.013

Files and links (1)

url

https://infoscience.epfl.ch/handle/20.500.14299/96845View

Open Access

Abstract

We study nontrivial applications of the reduced basis method (RBM) for electromagnetic applications with an emphasis on scattering and the estimation of radar cross section (RCS). The method and several extensions are explained with two examples with different characteristics. Parameters that are allowed to vary within the model include frequency, incident angle and measurement angle as well as the geometry of the scatterers. With appropriate applications of the empirical interpolation method (EIM), transformation of the domain, configuration of perfectly matched layer, exponential convergence of the reduced basis solution over the entire parameter domain is achieved. Moreover, we demonstrate that this approach allows for the effective capture of the critical behavior, in this case through shapes that minimize scattering. This further highlights the robustness and quality of the greedy approximation and the reduced basis method approach. (C) 2012 Elsevier B.V. All rights reserved.

Engineering

Engineering, Multidisciplinary

Mathematics

Mathematics, Interdisciplinary Applications

Mechanics

Physical Sciences

Science & Technology

Technology

Details

Title: Subtitle: Certified reduced basis method for electromagnetic scattering and radar cross section estimation
Creators: Yanlai Chen - University of Massachusetts Dartmouth
Jan S Hesthaven - Brown University
Yvon Maday - Brown University
Jeronimo Rodriguez - Universidade de Santiago de Compostela
Xueyu Zhu - Brown University
Resource Type: Journal article
Publication Details: Computer methods in applied mechanics and engineering, Vol.233, pp.92-108
DOI: 10.1016/j.cma.2012.04.013
ISSN: 0045-7825
eISSN: 1879-2138
Publisher: ELSEVIER SCIENCE SA
Number of pages: 17
Grant note: MICINN-RYC-2008-03543 / Spanish Ministry of Economy and Competitiveness; Spanish Government FA9550-09-1-0613 / OSD/AFOSR; United States Department of Defense; Air Force Office of Scientific Research (AFOSR) Joseph P. Healey Endowment Grants UMass Dartmouth Chancellor's Research Fund
Language: English
Date published: 08/01/2012
Academic Unit: Mathematics
Record Identifier: 9984240877502771

Metrics

17 Record Views

17 Times Cited - Web of Science