Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods

DOI10.1016/j.apm.2015.08.022zbMath1446.65140OpenAlexW1785394781MaRDI QIDQ2289118

Jannike Solsvik, Hugo Atle Jakobsen

Publication date: 28 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2015.08.022

zbMATH Keywords

Galerkin methodNewton methodleast squares methodPicard methodorthogonal collocationpopulation balance equation

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Basic methods in fluid mechanics (76M99)

Cites Work

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• Space-time coupled spectral/\(hp\) least-squares finite element formulation for the incompressible Navier-Stokes equations
• Least-squares spectral method for solving advective population balance problems
• A parallel time-space least-squares spectral element solver for incompressible flow problems
• Least-squares finite element methods
• A least-squares method with direct minimization for the solution of the breakage-coalescence population balance equation
• Time-property least-squares spectral method for population balance equations
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• A least-squares spectral element formulation for the Stokes problem
• The use of Chebyshev polynomials in the space-time least-squares spectral element method
• A new consistent splitting scheme for incompressible Navier-Stokes flows: a least-squares spectral element implementation
• Least-squares finite element formulations for viscous incompressible and compressible fluid flows
• \(hp\)-adaptive least squares spectral element method for population balance equations
• Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem
• Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations
• A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling
• Computational Methods for Fluid Dynamics
• Finite Element Methods of Least-Squares Type
• Calculation of Gauss Quadrature Rules
• Some Modified Matrix Eigenvalue Problems