Fast Uncertainty Quantification in Low Frequency Electromagnetic Problems by an Integral Equation Method Based on Hierarchical Matrix Compression
| Autor: | Federico Moro, Luca Di Rienzo, Riccardo Torchio, Lorenzo Codecasa |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Polynomial
General Computer Science Probability density function 010103 numerical & computational mathematics 02 engineering and technology Dielectric 01 natural sciences Compression (functional analysis) 0202 electrical engineering electronic engineering information engineering Applied mathematics General Materials Science 0101 mathematics Uncertainty quantification Uncertainty quantication Reliability (statistics) Mathematics hierarchical matrices Uncertainty quantication integral equation method parametric model order reduction spectral approximation electromagnetics lowrank approximation hierarchical matrices Hierarchical matrix parametric model order reduction General Engineering 020206 networking & telecommunications Variance (accounting) spectral approximation electromagnetics lcsh:Electrical engineering. Electronics. Nuclear engineering low–rank approximation lcsh:TK1-9971 integral equation method lowrank approximation |
| Zdroj: | IEEE Access, Vol 7, Pp 163919-163932 (2019) |
| Popis: | A parametric model order reduction method combined with a polynomial spectral approximation is applied for the first time to a Volume Integral Equation method accelerated by a low-rank matrix compression technique. Such an approach allows for drastically reducing the computational cost required by uncertainty quantifications in electromagnetic problems. Moreover, the proposed numerical tool can be adopted for computing stochastic information (e.g. mean, variance, probability density function) of any electromagnetic quantity of interest, in order to test the reliability of industrial devices with uncertainties on the material parameters. Conductive, dielectric, and magnetic media which exhibit uncorrelated and correlated random material parameters are considered by the proposed method. |
| Databáze: | OpenAIRE |
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