Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2014.y11051 ◽

2014 ◽

Vol 7 (1) ◽

pp. 41-57 ◽

Author(s):

Limei Li and Da Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Evolution Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Fractional Evolution Equation ◽

Alternating Direction ◽

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Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.031 ◽

2013 ◽

Vol 255 ◽

pp. 471-485 ◽

Author(s):

Limei Li ◽

Da Xu ◽

Man Luo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction

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An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile–immobile equation in two dimensions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.11.003 ◽

2020 ◽

Vol 80 (12) ◽

pp. 3156-3172

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Haifan Chen ◽

Jing Guo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Galerkin Finite Element Method ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction ◽

Distributed Order ◽

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A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1)

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1706844 ◽

2020 ◽

Vol 23 (4) ◽

pp. 777-790

Author(s):

Ahmed Jabbar Hussein ◽

Hashim A. Kashkool

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Coupled Burgers Equation ◽

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Layer-averaged modeling of two-dimensional turbidity currents with a dissipative-Galerkin finite element method Part II: Sensitivity analysis and experimental verification

Journal of Hydraulic Research ◽

10.1080/00221689909498310 ◽

1999 ◽

Vol 37 (2) ◽

pp. 257-271 ◽

Author(s):

Sung-Uk Choi

Keyword(s):

Finite Element Method ◽

Sensitivity Analysis ◽

Finite Element ◽

Experimental Verification ◽

Turbidity Currents ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

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Error Estimate for Two-Dimensional Coupled Burgers’ Equations By Weak Galerkin Finite Element Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1530/1/012065 ◽

2020 ◽

Vol 1530 ◽

pp. 012065

Author(s):

Hashim A. Kashkool ◽

Ahmed J. Hussein

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Burgers Equations ◽

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Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain model

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.09.034 ◽

2015 ◽

Vol 257 ◽

pp. 355-364 ◽

Author(s):

Weiping Bu ◽

Yifa Tang ◽

Yingchuan Wu ◽

Jiye Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Monodomain Model ◽

Element Method ◽

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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.023 ◽

2014 ◽

Vol 276 ◽

pp. 26-38 ◽

Author(s):

Weiping Bu ◽

Yifa Tang ◽

Jiye Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Diffusion Equations ◽

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The comparative analysis of the two dimensional Laplace equation using the Galerkin finite element method with the exact solution for various domains (circular and rectangular) with triangular elemental meshing

International Journal of Applied Mathematical Research ◽

10.14419/ijamr.v4i1.4042 ◽

2015 ◽

Vol 4 (1) ◽

pp. 193

Author(s):

Sarah Balkissoon ◽

Sreedhara Rao Gunakala ◽

Donna Comissiong ◽

Victor Job

Keyword(s):

Finite Element Method ◽

Exact Solution ◽

Finite Element ◽

Comparative Analysis ◽

Laplace Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

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Calculation of Two-Dimensional Compressible Euler Flows with a New Petrov-Galerkin Finite Element Method

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - Numerical Simulation of Compressible Euler Flows ◽

10.1007/978-3-322-87875-5_6 ◽

1989 ◽

pp. 88-104 ◽

Author(s):

F. Chalot ◽

L. P. Franca ◽

I. Harari ◽

T. J. R. Hughes ◽

F. Shakib ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Compressible Euler ◽

Euler Flows ◽

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Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.01.007 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1637-1650 ◽

Author(s):

Fawang Liu ◽

Libo Feng ◽

Vo Anh ◽

Jing Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Unstructured Mesh ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Convex Domains ◽

Galerkin Finite Element ◽

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