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A smoothness/shock indicator for the RKDG methods

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Publication:602827
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DOI10.1016/j.aml.2010.07.012zbMath1203.35016OpenAlexW1963903435MaRDI QIDQ602827

Tong Sun, David Rumsey

Publication date: 5 November 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.07.012


zbMATH Keywords

discontinuous Galerkin method


Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)


Related Items (1)

Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method



Cites Work

  • Unnamed Item
  • Numerical smoothing of Runge-Kutta schemes
  • A smoothness indicator for adaptive algorithms for hyperbolic systems
  • Long-time error estimation for semilinear parabolic equations
  • A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions


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