High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods
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Publication:5376560
DOI10.1137/18M1195280zbMath1416.65377arXiv1903.03844MaRDI QIDQ5376560
Publication date: 13 May 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.03844
hyperbolic conservation lawsshock capturingdiscontinuous Galerkinpolynomial annihilationdiscontinuity sensor\(\ell^1\) regularization
Numerical optimization and variational techniques (65K10) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Uses Software
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