Finite element methods of an operator splitting applied to population balance equations

DOI10.1016/j.cam.2011.09.025zbMath1242.65199OpenAlexW2042316664MaRDI QIDQ654782

Naveed Ahmed, Gunar Matthies, Tobiska, Lutz

Publication date: 21 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.025

zbMATH Keywords

stabilityerror estimatesnumerical examplesoperator splittingdiscontinuous Galerkin methodprojection methodbackward Euler methodstabilized finite elementspopulation balance equationstime-dependent convection-diffusion problemtransient transport problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (6)

Stabilized finite element discretization applied to an operator-splitting method of population balance equations ⋮ Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems ⋮ A comparative study of different discretizations for solving bivariate aggregation population balance equation ⋮ An improved and efficient finite volume scheme for bivariate aggregation population balance equation ⋮ A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Uses Software

• MooNMD

Cites Work

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