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International Journal for Uncertainty Quantification

年間 6 号発行

ISSN 印刷: 2152-5080

ISSN オンライン: 2152-5099

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.7 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.9 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 0.5 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.0007 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.5 SJR: 0.584 SNIP: 0.676 CiteScore™:: 3 H-Index: 25

Indexed in

UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION

巻 5, 発行 3, 2015, pp. 195-208
DOI: 10.1615/Int.J.UncertaintyQuantification.2015010170
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要約

Modeling and simulation are indispensable for the design process of new semiconductor structures. Difficulties arise from shrinking structure sizes, increasing working frequencies, and uncertainties of materials and geometries. Therefore, we consider the time-harmonic Maxwell's equations for the simulation of a coplanar waveguide with uncertain material parameters. To analyze the uncertainty of the system, we use stochastic collocation with Stroud and sparse grid points. The results are compared to a Monte Carlo simulation. Both methods rely on repetitive runs of a deterministic solver. To accelerate this, we compute a reduced model by means of proper orthogonal decomposition to reduce the computational cost. The Monte Carlo simulation and the stochastic collocation are both applied to the full and the reduced model. All results are compared concerning accuracy and computation time.

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  1. Wu Yue-Qian, Zhou Hai-Jing, Bao Xian-Feng, Li Han-Yu, Yin Wen-Yan, The application of the NIPC method and the FSV method on the validation of EM simulation under HIRF environment, 2017 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), 2017. Crossref

  2. Codecasa Lorenzo, Di Rienzo Luca, Model order reduction approach to uncertainty quantification in eddy current problems, 2017 International Applied Computational Electromagnetics Society Symposium - Italy (ACES), 2017. Crossref

  3. Li Jichun, Fang Zhiwei, Lin Guang, Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions, Computer Methods in Applied Mechanics and Engineering, 335, 2018. Crossref

  4. Kamilis Dimitris, Polydorides Nick, Uncertainty Quantification for Low-Frequency, Time-Harmonic Maxwell Equations with Stochastic Conductivity Models, SIAM/ASA Journal on Uncertainty Quantification, 6, 4, 2018. Crossref

  5. Zhang Liying, Chen Chuchu, Hong Jialin, Ji Lihai, A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations, Communications on Applied Mathematics and Computation, 1, 3, 2019. Crossref

  6. Fang Zhiwei, Li Jichun, Tang Tao, Zhou Tao, Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs, Journal of Scientific Computing, 80, 1, 2019. Crossref

  7. Feng Xiaobing, Lin Junshan, Lorton Cody, A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients, Journal of Scientific Computing, 80, 3, 2019. Crossref

  8. Wu Yueqian, Zhou Haijing, Li Hanyu, Bao Xianfeng, Zhong Longquan, Validation of Electromagnetic model for an Aircraft Under HIRF Condition With the NonIntrusive Polynomial Chaos Methods, 2019 International Symposium on Electromagnetic Compatibility - EMC EUROPE, 2019. Crossref

  9. Benner Peter, Hess Martin W., Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domains, in Scientific Computing in Electrical Engineering, 23, 2016. Crossref

  10. Cheng Lizheng, Wang Bo, Xie Ziqing, A stochastic Galerkin method for Maxwell equations with uncertainty, Acta Mathematica Scientia, 40, 4, 2020. Crossref

  11. Ciarlet Patrick, On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients, SIAM Journal on Mathematical Analysis, 52, 3, 2020. Crossref

  12. Kaur Navjot, Goyal Kavita, Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations, International Journal of Modern Physics C, 31, 09, 2020. Crossref

  13. Sarna Neeraj, Benner Peter, Data-Driven model order reduction for problems with parameter-dependent jump-discontinuities, Computer Methods in Applied Mechanics and Engineering, 387, 2021. Crossref

  14. Wu Yue-Qian, Liu Qing-Kai, Li Han-Yu, Bao Xian-Feng, Zhou Hai-Jing, Yin Wen-Yan, The Validation of the Simulated HIRF Effects in Metallic Cases Using Parallel FDTD Solver on a High Performance Computer, 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2020. Crossref

  15. Wu Yueqian, Bao Xianfeng, Hierarchical Validation of the Simulated HIRF Effects in Computational Models, 2021 International Applied Computational Electromagnetics Society (ACES-China) Symposium, 2021. Crossref

  16. Hao Yongle, Kang Fengdai, Li Jingzhi, Zhang Kai, Computation of moments for Maxwell's equations with random interfaces via pivoted low-rank approximation, Journal of Computational Physics, 371, 2018. Crossref

  17. Putek Piotr, Zadeh Shahnam Gorgi, Wenskat Marc, van Rienen Ursula, Multiobjective design optimization of a quadrupole resonator under uncertainties, Physical Review Accelerators and Beams, 25, 1, 2022. Crossref

  18. Cohen David, Cui Jianbo, Hong Jialin, Sun Liying, Exponential integrators for stochastic Maxwell's equations driven by Itô noise, Journal of Computational Physics, 410, 2020. Crossref

  19. Jarlebring Elias, Correnty Siobhán, Infinite GMRES for Parameterized Linear Systems, SIAM Journal on Matrix Analysis and Applications, 43, 3, 2022. Crossref

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