Mass Conservative Solution of the Population Balance Equation Using the Least-Squares Spectral Element Method

Zhengjie Zhu; Carlos A. Dorao; Hugo A. Jakobsen

doi:10.1021/ie900710y

Mass Conservative Solution of the Population Balance Equation Using the Least-Squares Spectral Element Method

Industrial & Engineering Chemistry Research ◽

10.1021/ie900710y ◽

2010 ◽

Vol 49 (13) ◽

pp. 6204-6214 ◽

Cited By ~ 6

Author(s):

Zhengjie Zhu ◽

Carlos A. Dorao ◽

Hugo A. Jakobsen

Keyword(s):

Least Squares ◽

Balance Equation ◽

Spectral Element Method ◽

Population Balance ◽

Spectral Element ◽

Population Balance Equation ◽

Element Method

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On the Coupled Solution of a Combined Population Balance Model Using the Least-Squares Spectral Element Method

Industrial & Engineering Chemistry Research ◽

10.1021/ie900088q ◽

2009 ◽

Vol 48 (17) ◽

pp. 7994-8006 ◽

Cited By ~ 15

Author(s):

Zhengjie Zhu ◽

Carlos A. Dorao ◽

D. Lucas ◽

Hugo A. Jakobsen

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Population Balance ◽

Spectral Element ◽

Balance Model ◽

Population Balance Model ◽

Coupled Solution ◽

Element Method

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hp-adaptive least squares spectral element method for population balance equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.12.005 ◽

2008 ◽

Vol 58 (5) ◽

pp. 563-576 ◽

Cited By ~ 20

Author(s):

C.A. Dorao ◽

H.A. Jakobsen

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Population Balance ◽

Spectral Element ◽

Balance Equations ◽

Population Balance Equations ◽

Element Method

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Least squares h-p spectral element method for elliptic eigenvalue problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.01.078 ◽

2012 ◽

Vol 218 (19) ◽

pp. 9596-9613 ◽

Cited By ~ 1

Author(s):

Lokendra K. Balyan ◽

Pravir K. Dutt ◽

R.K.S. Rathore

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Eigenvalue Problems ◽

Spectral Element ◽

Elliptic Eigenvalue Problems ◽

Element Method

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Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Method

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-73441-5_13 ◽

2018 ◽

pp. 128-136 ◽

Cited By ~ 1

Author(s):

Keunsoo Park ◽

Marc Gerritsma ◽

Maria Fernandino

Keyword(s):

Numerical Solution ◽

Least Squares ◽

Spectral Element Method ◽

Spectral Element ◽

Element Method

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Least-Squares Spectral Element Method on a Staggered Grid

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_78 ◽

2010 ◽

pp. 653-661 ◽

Cited By ~ 4

Author(s):

Marc Gerritsma ◽

Mick Bouman ◽

Artur Palha

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Spectral Element ◽

Staggered Grid ◽

Element Method

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Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations

Numerical Algorithms ◽

10.1007/bf02810621 ◽

2005 ◽

Vol 38 (1-3) ◽

pp. 155-172

Author(s):

Michael M. J. Proot ◽

Marc I. Gerritsma

Keyword(s):

Least Squares ◽

Chebyshev Polynomials ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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C1continuoush-adaptive least-squares spectral element method for phase-field models

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.11.026 ◽

2018 ◽

Vol 75 (5) ◽

pp. 1582-1594 ◽

Cited By ~ 1

Author(s):

Keunsoo Park ◽

Marc Gerritsma ◽

Maria Fernandino

Keyword(s):

Least Squares ◽

Phase Field ◽

Spectral Element Method ◽

Spectral Element ◽

Phase Field Models ◽

Element Method

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The least squares spectral element method for the Cahn–Hilliard equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.07.034 ◽

2011 ◽

Vol 35 (2) ◽

pp. 797-806 ◽

Cited By ~ 17

Author(s):

M. Fernandino ◽

C.A. Dorao

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Spectral Element ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

Element Method

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Fully discrete least-squares spectral element method for parabolic interface problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.10.001 ◽

2021 ◽

Vol 181 ◽

pp. 364-379

Author(s):

N. Kishore Kumar ◽

Pankaj Biswas

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Spectral Element ◽

Interface Problems ◽

Fully Discrete ◽

Element Method

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Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem

Journal of Scientific Computing ◽

10.1007/s10915-005-9030-3 ◽

2005 ◽

Vol 27 (1-3) ◽

pp. 389-401 ◽

Cited By ~ 27

Author(s):

Michael M. J. Proot ◽

Marc I. Gerritsma

Keyword(s):

Least Squares ◽

Spectral Element Method ◽

Stokes Problem ◽

Spectral Element ◽

Momentum Conservation ◽

Element Method

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