Performance of Stabilized Higher-Order Methods for Nonstationary Convection-Diffusion-Reaction Equations

Lecture Notes in Computational Science and Engineering - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods ◽

10.1007/978-3-642-19665-2_2 ◽

2011 ◽

pp. 11-19 ◽

Author(s):

Markus Bause

Keyword(s):

Higher Order ◽

Diffusion Reaction ◽

Higher Order Methods ◽

Convection Diffusion ◽

Reaction Equations

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Higher order finite element approximation of systems of convection–diffusion–reaction equations with small diffusion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.07.005 ◽

2013 ◽

Vol 246 ◽

pp. 52-64 ◽

Author(s):

Markus Bause ◽

Kristina Schwegler

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Higher Order ◽

Diffusion Reaction ◽

Element Approximation ◽

Small Diffusion ◽

Convection Diffusion ◽

Reaction Equations

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Numerical Study of SUPG and LPS Methods Combined with Higher Order Variational Time Discretization Schemes Applied to Time-Dependent Linear Convection–Diffusion–Reaction Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0115-3 ◽

2015 ◽

Vol 67 (3) ◽

pp. 988-1018 ◽

Author(s):

Naveed Ahmed ◽

Gunar Matthies

Keyword(s):

Numerical Study ◽

Time Discretization ◽

Higher Order ◽

Time Dependent ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Discretization Schemes ◽

Reaction Equations

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Adaptive time step control for higher order variational time discretizations applied to convection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.10.054 ◽

2015 ◽

Vol 285 ◽

pp. 83-101 ◽

Author(s):

Naveed Ahmed ◽

Volker John

Keyword(s):

Higher Order ◽

Diffusion Reaction ◽

Time Step ◽

Convection Diffusion ◽

Adaptive Time Step ◽

Adaptive Time ◽

Reaction Equations ◽

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Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015019 ◽

2015 ◽

Vol 49 (5) ◽

pp. 1429-1450 ◽

Author(s):

Naveed Ahmed ◽

Gunar Matthies

Keyword(s):

Higher Order ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Time Stepping ◽

Continuous Galerkin ◽

Reaction Equations ◽

Order Continuous

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Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.10.004 ◽

2012 ◽

Vol 209-212 ◽

pp. 184-196 ◽

Author(s):

Markus Bause ◽

Kristina Schwegler

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Higher Order ◽

Diffusion Reaction ◽

Element Approximation ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Reaction Equations

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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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On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion

Lecture Notes in Computational Science and Engineering - BAIL 2008 - Boundary and Interior Layers ◽

10.1007/978-3-642-00605-0_13 ◽

2009 ◽

pp. 173-181 ◽

Author(s):

Volker John ◽

Ellen Schmeyer

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Diffusion Reaction ◽

Small Diffusion ◽

Convection Diffusion ◽

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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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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Metastability and pinning for convection-diffusion-reaction equations in thin domains

Methods and Applications of Analysis ◽

10.4310/maa.1999.v6.n4.a3 ◽

1999 ◽

Vol 6 (4) ◽

pp. 451-476 ◽

Author(s):

Xiaodi Sun ◽

Michael J. Ward

Keyword(s):

Diffusion Reaction ◽

Thin Domains ◽

Convection Diffusion ◽

Reaction Equations

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