An EMC-HDG scheme for the convection-diffusion equation with random diffusivity

DOI10.1007/s11075-021-01250-2zbMath1497.35470OpenAlexW4205780456MaRDI QIDQ2159434

XianBing Luo, Meng Li

Publication date: 1 August 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01250-2

zbMATH Keywords

convection-diffusion equationhybridizable discontinuous Galerkinrandom diffusion coefficientsensemble Monte Carlo

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Computational methods for problems pertaining to geophysics (86-08) PDEs in connection with geophysics (35Q86) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (2)

An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs ⋮ An ensemble Monte Carlo HDG method for parabolic PDEs with random coefficients

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