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

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

Journal Article · 01 November 2021 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2021.110595· OSTI ID:1813465

Johnson, Philip E.; Johnsen, Eric

Not Available

View Accepted Manuscript (Publisher)

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

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1813465

Alternate ID(s):: OSTI ID: 23203642

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 445; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (14)

A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations Bassi, F.; Rebay, S. Journal of Computational Physics, Vol. 131, Issue 2 https://doi.org/10.1006/jcph.1996.5572	journal	March 1997
The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V Cockburn, Bernardo; Shu, Chi-Wang Journal of Computational Physics, Vol. 141, Issue 2 https://doi.org/10.1006/jcph.1998.5892	journal	April 1998
Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations Bassi, Francesco; Crivellini, Andrea; Rebay, Stefano Computers & Fluids, Vol. 34, Issue 4-5 https://doi.org/10.1016/j.compfluid.2003.08.004	journal	May 2005
A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows Landmann, Björn; Kessler, Manuel; Wagner, Siegfried Computers & Fluids, Vol. 37, Issue 4 https://doi.org/10.1016/j.compfluid.2007.02.009	journal	May 2008
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations Hartmann, Ralf; Houston, Paul Journal of Computational Physics, Vol. 227, Issue 22 https://doi.org/10.1016/j.jcp.2008.07.015	journal	November 2008
The compact gradient recovery discontinuous Galerkin method for diffusion problems Johnson, Philip E.; Johnsen, Eric Journal of Computational Physics, Vol. 398 https://doi.org/10.1016/j.jcp.2019.108872	journal	December 2019
Analysis of Recovery-assisted discontinuous Galerkin methods for the compressible Navier-Stokes equations Johnson, Philip E.; Khieu, Loc H.; Johnsen, Eric Journal of Computational Physics, Vol. 423 https://doi.org/10.1016/j.jcp.2020.109813	journal	December 2020
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems Cockburn, Bernardo; Shu, Chi-Wang Journal of Scientific Computing, Vol. 16, Issue 3, p. 173-261 https://doi.org/10.1023/A:1012873910884	journal	September 2001
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems Peraire, J.; Persson, P. -O. SIAM Journal on Scientific Computing, Vol. 30, Issue 4 https://doi.org/10.1137/070685518	journal	January 2008
An Interior Penalty Finite Element Method with Discontinuous Elements Arnold, Douglas N. SIAM Journal on Numerical Analysis, Vol. 19, Issue 4 https://doi.org/10.1137/0719052	journal	August 1982
Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems Brdar, S.; Dedner, A.; Klöfkorn, R. SIAM Journal on Scientific Computing, Vol. 34, Issue 1 https://doi.org/10.1137/100817528	journal	January 2012
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo SIAM Journal on Numerical Analysis, Vol. 39, Issue 5 https://doi.org/10.1137/S0036142901384162	journal	January 2002
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems Cockburn, Bernardo; Shu, Chi-Wang SIAM Journal on Numerical Analysis, Vol. 35, Issue 6 https://doi.org/10.1137/S0036142997316712	journal	December 1998
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides Cash, J. R.; Karp, Alan H. ACM Transactions on Mathematical Software, Vol. 16, Issue 3 https://doi.org/10.1145/79505.79507	journal	September 1990

Similar Records

A discrete divergence free weak Galerkin finite element method for the Stokes equations

Journal Article · 2018 · Applied Numerical Mathematics · OSTI ID:1607590

Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering

Journal Article · 2021 · Mathematics of Computation · OSTI ID:1838952

The compact gradient recovery discontinuous Galerkin method for diffusion problems

Journal Article · 2019 · Journal of Computational Physics · OSTI ID:1558673

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

Citation Formats

References (14)

Similar Records

Related Subjects