A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model

DOI10.1051/m2an/2009034zbMath1180.82137OpenAlexW1995787405MaRDI QIDQ3647546

Endre Süli, David J. Knezevic

Publication date: 23 November 2009

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194489

zbMATH Keywords

finite element methodsalternating-direction methodsspectral methodshigh-performance computingkinetic modelsmultiscale modellingdilute polymers

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for second-order parabolic equations (35K20) Statistical mechanics of polymers (82D60) 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) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems ⋮ Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators ⋮ Numerical simulation of the time-fractional Fokker-Planck equation and applications to polymeric fluids ⋮ Analysis of a Dilute Polymer Model with a Time-Fractional Derivative ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ Finite element methods of an operator splitting applied to population balance equations ⋮ Reduced basis approximation anda posteriorierror estimates for a multiscale liquid crystal model ⋮ Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere ⋮ A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs ⋮ A conservative scheme for the Fokker-Planck equation with applications to viscoelastic polymeric fluids

Uses Software

• PETSc
• libMesh

Cites Work

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