Uncertainty quantification for Maxwell's eigenproblem based on isogeometric analysis and mode tracking

DOI10.1016/j.cma.2019.03.002zbMath1441.78003arXiv1802.02978OpenAlexW2918877841WikidataQ128225948 ScholiaQ128225948MaRDI QIDQ1987972

Niklas Georg, Jacopo Corno, Wolfgang Ackermann, Sebastian Schöps

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02978

zbMATH Keywords

sensitivity analysiseigenvalues and eigenfunctionsisogeometric analysisradio frequencycavity resonators

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

A general frame for uncertainty propagation under multimodally distributed random variables ⋮ On the computation of analytic sensitivities of eigenpairs in isogeometric analysis ⋮ On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity ⋮ Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries

Uses Software

• JDQR
• ARPACK
• FEniCS
• NewtonLib
• GeoPDEs
• JDQZ
• Poisson SUPERFISH

Cites Work

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• Sparse grids
• Coarse-Grid Sampling Interpolatory Methods for Approximating Gaussian Random Fields
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
• A practical guide to splines.

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