A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method

Johnson, Philip E.; Johnsen, Eric

doi:10.1016/j.jcp.2021.110595

Title: A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method

Authors:: Johnson, Philip E.; Johnsen, Eric

Publication Date:: 2021-11-01

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1813465

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 445 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Johnson, Philip E., and Johnsen, Eric. A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method.  United States: N. p., 2021. 
Web.  doi:10.1016/j.jcp.2021.110595.

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                    Johnson, Philip E., & Johnsen, Eric. A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method.  United States.  https://doi.org/10.1016/j.jcp.2021.110595

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                    Johnson, Philip E., and Johnsen, Eric. Mon .  
"A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method".  United States.  https://doi.org/10.1016/j.jcp.2021.110595.

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@article{osti_1813465,

  title        = {A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method},

  author       = {Johnson, Philip E. and Johnsen, Eric},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2021.110595},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 445,

  place        = {United States},

  year         = {2021},

  month        = {11}

}

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Works referenced in this record:

A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
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Cash, J. R.; Karp, Alan H.
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A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations
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The compact gradient recovery discontinuous Galerkin method for diffusion problems
journal, December 2019

Johnson, Philip E.; Johnsen, Eric
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
journal, January 2002

Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo
SIAM Journal on Numerical Analysis, Vol. 39, Issue 5
DOI: 10.1137/S0036142901384162

Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations
journal, May 2005

Bassi, Francesco; Crivellini, Andrea; Rebay, Stefano
Computers & Fluids, Vol. 34, Issue 4-5
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An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations
journal, November 2008

Hartmann, Ralf; Houston, Paul
Journal of Computational Physics, Vol. 227, Issue 22
DOI: 10.1016/j.jcp.2008.07.015

The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
journal, January 2008

Peraire, J.; Persson, P. -O.
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Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems
journal, January 2012

Brdar, S.; Dedner, A.; Klöfkorn, R.
SIAM Journal on Scientific Computing, Vol. 34, Issue 1
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The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
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Cockburn, Bernardo; Shu, Chi-Wang
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A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows
journal, May 2008

Landmann, Björn; Kessler, Manuel; Wagner, Siegfried
Computers & Fluids, Vol. 37, Issue 4
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An Interior Penalty Finite Element Method with Discontinuous Elements
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Arnold, Douglas N.
SIAM Journal on Numerical Analysis, Vol. 19, Issue 4
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Analysis of Recovery-assisted discontinuous Galerkin methods for the compressible Navier-Stokes equations
journal, December 2020

Johnson, Philip E.; Khieu, Loc H.; Johnsen, Eric
Journal of Computational Physics, Vol. 423
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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
journal, December 1998

Cockburn, Bernardo; Shu, Chi-Wang
SIAM Journal on Numerical Analysis, Vol. 35, Issue 6
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Title: A simple, optimally convergent, parameter-free discretization of diffusive terms with the discontinuous Galerkin method

Citation Formats

A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides journal, September 1990

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An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations journal, November 2008

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Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations
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An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations
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The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
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journal, January 2012

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
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