A numerical analysis of the nodal Discontinuous Galerkin scheme via Flux Reconstruction for the advection-diffusion equation

Computers & Fluids ◽

10.1016/j.compfluid.2016.09.013 ◽

2016 ◽

Vol 139 ◽

pp. 233-247 ◽

Cited By ~ 10

Author(s):

Jerry Watkins ◽

Kartikey Asthana ◽

Antony Jameson

Keyword(s):

Numerical Analysis ◽

Diffusion Equation ◽

Discontinuous Galerkin ◽

Flux Reconstruction ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A Fourier-type analysis of the Gauss and Gauss-Lobatto P1-discontinuous Galerkin methods for the linear advection-diffusion equation

10.1063/1.5114349 ◽

2019 ◽

Cited By ~ 2

Author(s):

Sigrun Ortleb

Keyword(s):

Diffusion Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Type Analysis ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Fourier Type

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Numerical analysis of Krylov multigrid methods for stationary advection-diffusion equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/1391/1/012080 ◽

2019 ◽

Vol 1391 ◽

pp. 012080 ◽

Cited By ~ 1

Author(s):

Nikolay M. Evstigneev

Keyword(s):

Numerical Analysis ◽

Diffusion Equation ◽

Multigrid Methods ◽

Advection Diffusion Equation ◽

Advection Diffusion

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An Analysis of Stability of the Flux Reconstruction Formulation on Quadrilateral Elements for the Linear Advection–Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-017-0513-9 ◽

2017 ◽

Vol 74 (3) ◽

pp. 1757-1785 ◽

Cited By ~ 2

Author(s):

Abhishek Sheshadri ◽

Antony Jameson

Keyword(s):

Diffusion Equation ◽

Flux Reconstruction ◽

Quadrilateral Elements ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Analysis Of Stability

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Space-Time Hybridizable Discontinuous Galerkin Method for the Advection–Diffusion Equation on Moving and Deforming Meshes

The Courant–Friedrichs–Lewy (CFL) Condition ◽

10.1007/978-0-8176-8394-8_4 ◽

2013 ◽

pp. 45-63 ◽

Cited By ~ 8

Author(s):

Sander Rhebergen ◽

Bernardo Cockburn

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Advection Diffusion Equation ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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Numerical analysis of a least-squares finite element method for the time-dependent advection–diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.02.022 ◽

2011 ◽

Vol 235 (12) ◽

pp. 3615-3631 ◽

Cited By ~ 8

Author(s):

R.C. Leal Toledo ◽

V. Ruas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Analysis ◽

Diffusion Equation ◽

Least Squares ◽

Time Dependent ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Element Method

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A posteriori correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.050 ◽

2019 ◽

Vol 387 ◽

pp. 245-279 ◽

Cited By ~ 9

Author(s):

François Vilar

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

High Order ◽

Flux Reconstruction ◽

A Posteriori ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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Solving the random Cauchy one-dimensional advection–diffusion equation: Numerical analysis and computing

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.02.001 ◽

2018 ◽

Vol 330 ◽

pp. 920-936 ◽

Cited By ~ 5

Author(s):

J.-C. Cortés ◽

A. Navarro-Quiles ◽

J.-V. Romero ◽

M.-D. Roselló ◽

M.A. Sohaly

Keyword(s):

Numerical Analysis ◽

Diffusion Equation ◽

One Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Quantum algorithm for the advection–diffusion equation simulated with the lattice Boltzmann method

Quantum Information Processing ◽

10.1007/s11128-021-02996-3 ◽

2021 ◽

Vol 20 (2) ◽

Author(s):

Ljubomir Budinski

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Quantum Algorithm ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Boltzmann Method

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A cell-centered indirect Arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110368 ◽

2021 ◽

pp. 110368

Author(s):

Wenbin Wu ◽

A-Man Zhang ◽

Moubin Liu

Keyword(s):

Discontinuous Galerkin ◽

Arbitrary Lagrangian Eulerian ◽

Triangular Meshes ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

A Cell

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