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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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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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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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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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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Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1182-z ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 323-341 ◽

Author(s):

Leilei Wei ◽

Lijie Liu ◽

Huixia Sun

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Stability And Convergence ◽

Local Discontinuous Galerkin ◽

Distributed Order

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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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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21756 ◽

2012 ◽

Vol 29 (5) ◽

pp. 1441-1458 ◽

Author(s):

Leilei Wei ◽

Yinnian He ◽

Bo Tang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Kawahara Equation ◽

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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A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation

Journal of Scientific Computing ◽

10.1007/s10915-011-9498-y ◽

2011 ◽

Vol 51 (1) ◽

pp. 107-134 ◽

Author(s):

Qiang Zhang ◽

Fuzheng Gao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Sobolev Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Convection Dominated

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