Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM
We present an application of adjoint analysis for efficient sensitivity analysis and estimation of quantities of interest in the presence of uncertain model parameters in 3-D finite element method (FEM) scattering problems. We demonstrate that the adjoint solution may be leveraged to expedite quanti...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2021-10, Vol.69 (10), p.6669-6679 |
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| container_title | IEEE transactions on antennas and propagation |
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| creator | Harmon, Jake J. Key, Cam Estep, Donald Butler, Troy Notaros, Branislav M. |
| description | We present an application of adjoint analysis for efficient sensitivity analysis and estimation of quantities of interest in the presence of uncertain model parameters in 3-D finite element method (FEM) scattering problems. We demonstrate that the adjoint solution may be leveraged to expedite quantification of uncertainty in the scattering model with extremely high accuracy and vast efficiency improvements in comparison to classic gradient approximation techniques and Monte Carlo (MC) methods. The proposed method is demonstrated for low- and high-dimensional parameter spaces for scattered electric field quantities of interest (QoIs). The results indicate strong agreement with equivalent Monte Carlo simulations for QoI responses and probability densities. |
| doi_str_mv | 10.1109/TAP.2021.3070059 |
| format | Article |
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The results indicate strong agreement with equivalent Monte Carlo simulations for QoI responses and probability densities.</description><subject>Adjoint methods</subject><subject>computational electromagnetics (CEM)</subject><subject>Electric fields</subject><subject>Estimation</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>finite element method (FEM)</subject><subject>higher order parameter sampling (HOPS)</subject><subject>Mathematical models</subject><subject>Monte Carlo simulation</subject><subject>Parameter sensitivity</subject><subject>Parameter uncertainty</subject><subject>Permittivity</subject><subject>Scattering</subject><subject>Sensitivity analysis</subject><subject>Stochastic processes</subject><subject>Three dimensional models</subject><subject>uncertain parameters</subject><subject>Uncertain systems</subject><subject>Uncertainty</subject><subject>uncertainty quantification</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1LAzEQhoMoWKt3wUvAc2o-N8lx6YcKLRZsQbyEdDcLKe1uTVJh_70pLZ6Gd3hmmHkAeCR4RAjWL6tyOaKYkhHDEmOhr8CACKEQpZRcgwHGRCFNi69bcBfjNkeuOB-A77Ledr5N8NO10Sf_61MPy9bu-ugjbLoA123lQrK-hQubXPB2B5c22L3LIcLcngX3c3Rt1aNJtz9xDE3gbLq4BzeN3UX3cKlDsJ5NV-M3NP94fR-Xc1RRTRLighS65k1lbSWF08oSqXQhMasbrTauZlQXWgrMJd8IZkUtXUPqmqtCSSoZG4Ln895D6PIhMZltdwz5hWiokJpzzBnPFD5TVehiDK4xh-D3NvSGYHMyaLJBczJoLgbzyNN5xDvn_nHNtKSqYH9kLms8</recordid><startdate>20211001</startdate><enddate>20211001</enddate><creator>Harmon, Jake J.</creator><creator>Key, Cam</creator><creator>Estep, Donald</creator><creator>Butler, Troy</creator><creator>Notaros, Branislav M.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | Adjoint methods computational electromagnetics (CEM) Electric fields Estimation Finite element analysis Finite element method finite element method (FEM) higher order parameter sampling (HOPS) Mathematical models Monte Carlo simulation Parameter sensitivity Parameter uncertainty Permittivity Scattering Sensitivity analysis Stochastic processes Three dimensional models uncertain parameters Uncertain systems Uncertainty uncertainty quantification |
| title | Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM |
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