A least-squares method with direct minimization for the solution of the breakage-coalescence population balance equation

DOI10.1016/j.matcom.2008.05.001zbMath1155.65111OpenAlexW2032439000MaRDI QIDQ960375

Zhengjie Zhu, Carlos A. Dorao, Hugo Atle Jakobsen

Publication date: 17 December 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.05.001

zbMATH Keywords

convergenceleast-squares methodnumerical examplesfinite differenceQR decompositiondirect minimizationnon-linear population balance equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (4)

Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem ⋮ Studies on population balance equation involving aggregation and growth terms via symmetries ⋮ Fitting thermal conductivity and optimizing thermoelectric efficiency in \(S i_c G e_{1 - c}\) nanowires ⋮ Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods

Cites Work

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• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• Review of code and solution verification procedures for computational simulation
• Least-squares spectral elements applied to the Stokes problem
• Direct minimization of the least-squares spectral element functional. I: Direct solver
• Numerical calculation of the moments of the population balance equation
• Finite Element Methods of Least-Squares Type
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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