An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012012 ◽

2012 ◽

Vol 46 (6) ◽

pp. 1447-1465 ◽

Author(s):

Sashikumaar Ganesan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Operator Splitting ◽

Population Balance ◽

Stability And Convergence ◽

Balance Equations ◽

Population Balance Equations ◽

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

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.09.025 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1604-1621 ◽

Author(s):

Naveed Ahmed ◽

Gunar Matthies ◽

Lutz Tobiska

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Operator Splitting ◽

Population Balance ◽

Balance Equations ◽

Population Balance Equations

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Stabilized finite element discretization applied to an operator-splitting method of population balance equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.04.001 ◽

2013 ◽

Vol 70 ◽

pp. 58-79 ◽

Author(s):

Naveed Ahmed ◽

Gunar Matthies ◽

Lutz Tobiska

Keyword(s):

Finite Element ◽

Operator Splitting ◽

Splitting Method ◽

Population Balance ◽

Balance Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Population Balance Equations ◽

Operator Splitting Method

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An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems

Chemical Engineering Science ◽

10.1016/j.ces.2011.09.031 ◽

2012 ◽

Vol 69 (1) ◽

pp. 59-68 ◽

Author(s):

Sashikumaar Ganesan ◽

Lutz Tobiska

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Operator Splitting ◽

Population Balance ◽

Parallel Solution ◽

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A new finite element method for solving compressible navier-stokes equations based on an operator splitting method and h-p adaptivity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90081-v ◽

1990 ◽

Vol 84 (3) ◽

pp. 275-326 ◽

Author(s):

L. Demkowicz ◽

J.T. Oden ◽

W. Rachowicz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Operator Splitting ◽

Splitting Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Operator Splitting Method ◽

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Characteristic-based operator-splitting finite element method for Navier-Stokes equations

Science China Technological Sciences ◽

10.1007/s11431-011-4444-7 ◽

2011 ◽

Vol 54 (8) ◽

pp. 2157-2166 ◽

Author(s):

DaGuo Wang ◽

HaiJiao Wang ◽

JuHua Xiong ◽

L. G. Tham

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Operator Splitting ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Stability and Convergence of a Finite Element Method for Reactive Transport in Ground Water

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994272866 ◽

1997 ◽

Vol 34 (3) ◽

pp. 881-904 ◽

Author(s):

Zhangxin Chen ◽

Richard E. Ewing

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Ground Water ◽

Reactive Transport ◽

Stability And Convergence ◽

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A moving finite element method for the population balance equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650100704 ◽

1990 ◽

Vol 10 (7) ◽

pp. 753-769 ◽

Author(s):

T. H. Tsang ◽

A. Rao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Balance Equation ◽

Population Balance ◽

Population Balance Equation ◽

Element Method ◽

Moving Finite Element

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Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.03.008 ◽

2010 ◽

Vol 199 (37-40) ◽

pp. 2360-2382 ◽

Author(s):

Yongxing Shen ◽

Adrian Lew

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fracture Mechanics ◽

Discontinuous Galerkin ◽

Extended Finite Element Method ◽

Stability And Convergence ◽

Extended Finite Element ◽

Convergence Proofs ◽

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Adaptive operator splitting finite element method for Allen–Cahn equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22350 ◽

2019 ◽

Vol 35 (3) ◽

pp. 1290-1300 ◽

Author(s):

Yunqing Huang ◽

Wei Yang ◽

Hao Wang ◽

Jintao Cui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Operator Splitting ◽

Cahn Equation ◽

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Stability and convergence of a finite element method for solving the Stefan problem

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195190728 ◽

1976 ◽

Vol 12 (2) ◽

pp. 539-563 ◽

Author(s):

Masatake Mori

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stefan Problem ◽

Stability And Convergence ◽

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