Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

GEM - International Journal on Geomathematics ◽

10.1007/s13137-014-0067-z ◽

2014 ◽

Vol 5 (2) ◽

pp. 255-288 ◽

Author(s):

Bülent Karasözen ◽

Murat Uzunca

Keyword(s):

Reaction Mechanism ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Advection Diffusion ◽

Linear Reaction ◽

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The Local Discontinuous Galerkin Method for Advection-Diffusion Equations Arising in Groundwater and Surface Water Applications

Resource Recovery, Confinement, and Remediation of Environmental Hazards - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-0037-3_13 ◽

2002 ◽

pp. 231-245 ◽

Author(s):

Clint Dawson ◽

Vadym Aizinger

Keyword(s):

Surface Water ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Local Discontinuous Galerkin ◽

Advection Diffusion

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Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615531311323782 ◽

2013 ◽

Vol 23 (4) ◽

pp. 634-648 ◽

Author(s):

Leilei Wei ◽

Xindong Zhang ◽

Yinnian He

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Local Discontinuous Galerkin ◽

Advection Diffusion

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A uniform optimal-order estimate for an Eulerian-Lagrangian discontinuous Galerkin method for transient advection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20338 ◽

2009 ◽

Vol 25 (1) ◽

pp. 87-109 ◽

Author(s):

Kaixin Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Optimal Order ◽

Order Estimate ◽

Advection Diffusion

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An Eulerian-Lagrangian discontinuous Galerkin method for transient advection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20223 ◽

2007 ◽

Vol 23 (6) ◽

pp. 1343-1367 ◽

Author(s):

Kaixin Wang ◽

Hong Wang ◽

Mohamed Al-Lawatia

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Advection Diffusion

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The local discontinuous Galerkin method for 2D nonlinear time-fractional advection–diffusion equations

Engineering With Computers ◽

10.1007/s00366-018-0665-8 ◽

2018 ◽

Vol 35 (4) ◽

pp. 1317-1332 ◽

Author(s):

Jafar Eshaghi ◽

Saeed Kazem ◽

Hojjatollah Adibi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Local Discontinuous Galerkin ◽

Advection Diffusion

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A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drm050 ◽

2008 ◽

Vol 29 (2) ◽

pp. 235-256 ◽

Author(s):

A. Ern ◽

A. F. Stephansen ◽

P. Zunino

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Weighted Averages ◽

Advection Diffusion

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Analysis of local discontinuous Galerkin method for time–space fractional convection–diffusion equations

BIT Numerical Mathematics ◽

10.1007/s10543-018-0697-x ◽

2018 ◽

Vol 58 (3) ◽

pp. 533-554 ◽

Author(s):

M. Ahmadinia ◽

Z. Safari ◽

S. Fouladi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00065-7 ◽

2020 ◽

Vol 2 (4) ◽

pp. 689-709

Author(s):

Somayeh Yeganeh ◽

Reza Mokhtari ◽

Jan S. Hesthaven

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Local Discontinuous Galerkin

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A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

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