Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media

DOI10.1137/20M1334164zbMath1459.65010arXiv2004.12268OpenAlexW3121322459MaRDI QIDQ5149780

Frances Y. Kuo, Mahadevan Ganesh, Ian H. Sloan

Publication date: 8 February 2021

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12268

zbMATH Keywords

finite element methodwave propagationheterogeneous mediarandom mediaHelmholtz equationquasi-Monte Carlo method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (4)

Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures ⋮ Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification ⋮ Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification ⋮ A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency

Uses Software

• QMC4PDE

Cites Work

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