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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Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-017-0277-1 ◽

2017 ◽

Vol 76 (3) ◽

pp. 695-707 ◽

Author(s):

Leilei Wei

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Stability And Convergence ◽

Fractional Diffusion Equations ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.005 ◽

2019 ◽

Vol 394 ◽

pp. 503-521 ◽

Author(s):

Paul Castillo ◽

Sergio Gómez

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Time Step ◽

Optimal Stabilization ◽

Fractional Diffusion Equations ◽

Local Discontinuous Galerkin ◽

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Error Estimate of a Fully Discrete Local Discontinuous Galerkin Method for Variable-Order Time-Fractional Diffusion Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00081-7 ◽

2020 ◽

Author(s):

Leilei Wei ◽

Shuying Zhai ◽

Xindong Zhang

Keyword(s):

Error Estimate ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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An a priori error estimate for the local discontinuous Galerkin method applied to two-dimensional shallow water and morphodynamic flow

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21914 ◽

2014 ◽

Vol 31 (2) ◽

pp. 397-421 ◽

Author(s):

Chris Mirabito ◽

Clint Dawson ◽

Vadym Aizinger

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Two Dimensional ◽

A Priori Error Estimate ◽

Local Discontinuous Galerkin

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01335-5 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

Mathematics of Computation ◽

10.1090/mcom/3141 ◽

2016 ◽

Vol 86 (305) ◽

pp. 1233-1267 ◽

Author(s):

Yao Cheng ◽

Xiong Meng ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.09.001 ◽

2020 ◽

Vol 148 ◽

pp. 61-78 ◽

Author(s):

Afaf Bouharguane ◽

Nour Seloula

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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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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