Discontinuous Galerkin time stepping with local projection stabilization for transient convection–diffusion-reaction problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.02.003 ◽

2011 ◽

Vol 200 (21-22) ◽

pp. 1747-1756 ◽

Author(s):

N. Ahmed ◽

G. Matthies ◽

L. Tobiska ◽

H. Xie

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Time Stepping ◽

Local Projection Stabilization

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A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125937 ◽

2021 ◽

Vol 397 ◽

pp. 125937

Author(s):

Ziming Dong ◽

Hong Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Local Projection Stabilization for Convection-Diffusion-Reaction Equations on Surfaces

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_13 ◽

2017 ◽

pp. 169-181

Author(s):

Kristin Simon ◽

Lutz Tobiska

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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A local projection stabilization virtual element method for convection-diffusion-reaction equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126536 ◽

2021 ◽

Vol 411 ◽

pp. 126536

Author(s):

Yang Li ◽

Minfu Feng

Keyword(s):

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Virtual Element ◽

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A Nonlinear Local Projection Stabilization for Convection-Diffusion-Reaction Equations

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_26 ◽

2012 ◽

pp. 237-245 ◽

Author(s):

G. R. Barrenechea ◽

V. John ◽

P. Knobloch

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Local projection stabilization for convection–diffusion–reaction equations on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.09.031 ◽

2019 ◽

Vol 344 ◽

pp. 34-53 ◽

Author(s):

K. Simon ◽

L. Tobiska

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.09.026 ◽

2017 ◽

Vol 313 ◽

pp. 28-52 ◽

Author(s):

Naveed Ahmed ◽

Simon Becher ◽

Gunar Matthies

Keyword(s):

Discontinuous Galerkin ◽

Stokes Problem ◽

Higher Order ◽

Local Projection ◽

Time Stepping ◽

Local Projection Stabilization

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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2013071 ◽

2013 ◽

Vol 47 (5) ◽

pp. 1335-1366 ◽

Author(s):

Gabriel R. Barrenechea ◽

Volker John ◽

Petr Knobloch

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations ◽

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A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations

SIAM Journal on Numerical Analysis ◽

10.1137/090767807 ◽

2010 ◽

Vol 48 (2) ◽

pp. 659-680 ◽

Author(s):

Petr Knobloch

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Error estimates for a nonlinear local projection stabilization of transient convection--diffusion--reaction equations

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2015.8.901 ◽

2015 ◽

Vol 8 (5) ◽

pp. 901-911 ◽

Author(s):

Petr Knobloch ◽

Keyword(s):

Error Estimates ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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Two-grid discontinuous Galerkin method for convection–diffusion-reaction equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113903 ◽

2021 ◽

pp. 113903

Author(s):

Liuqiang Zhong ◽

Yue Xuan ◽

Jintao Cui

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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