A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation

DOI10.1007/s00466-019-01688-1zbMath1465.76076OpenAlexW2916296659WikidataQ92590719 ScholiaQ92590719MaRDI QIDQ2329607

Mehdi Dehghan, Mostafa Abbaszadeh, Clemens Heitzinger, Amirreza Khodadadian, Maryam Parvizi

Publication date: 18 October 2019

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-019-01688-1

zbMATH Keywords

time discretizationCahn-Hilliard-Cook equationmultilevel Monte Carlo methodEuler-MaruyamaCiarlet-Raviart mixed finite element

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Stochastic analysis applied to problems in fluid mechanics (76M35) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation ⋮ Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation ⋮ Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation ⋮ Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions ⋮ Two‐grid weak Galerkin method for semilinear elliptic differential equations ⋮ Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations ⋮ Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model ⋮ A \(C^0\) weak Galerkin method for linear Cahn-Hilliard-cook equation with random initial condition ⋮ An adaptive multilevel Monte Carlo algorithm for the stochastic drift-diffusion-Poisson system ⋮ An MLMCE-HDG method for the convection diffusion equation with random diffusivity

Cites Work

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