A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints

DOI10.1137/17M1113473zbMath1398.60073OpenAlexW2790538654MaRDI QIDQ4607634

Ivi C. Tsantili, Min-Hyung Cho, George Em. Karniadakis, Wei Cai

Publication date: 14 March 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1113473

zbMATH Keywords

electromagnetic scatteringstochastic collocationKarhunen-Loève expansionmeta-materialscorrelated randomnessspartan spatial random fields

Mathematics Subject Classification ID

Random fields (60G60) Applications of statistics in engineering and industry; control charts (62P30) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (10)

A time-domain finite element scheme and its analysis for nonlinear Maxwell's equations in Kerr media ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ Multiscale modeling and analysis for some special additive noises driven stochastic partial differential equations ⋮ Numerical analysis of the direct method for 3D Maxwell's equation in Kerr-type nonlinear media ⋮ Quadrature by two expansions for evaluating Helmholtz layer potentials ⋮ Simulating backward wave propagation in metamaterial with radial basis functions ⋮ An \(O(N \log N)\) hierarchical random compression method for kernel matrices by sampling partial matrix entries ⋮ Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs ⋮ Developing and analyzing new unconditionally stable finite element schemes for Maxwell's equations in complex media ⋮ Two new finite element schemes and their analysis for modeling of wave propagation in graphene

Uses Software

• MEPCMP

Cites Work

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• Preface
• High-Order Collocation Methods for Differential Equations with Random Inputs

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