Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives
DOI10.1007/s10915-022-01967-9zbMath1497.65183OpenAlexW4292701983WikidataQ114225526 ScholiaQ114225526MaRDI QIDQ2674282
Liangyue Ji, Qi Tao, Yan Xu, Jennifer K. Ryan
Publication date: 22 September 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01967-9
high order equationssmoothness-increasing accuracy-conserving (SIAC)local discontinuous Galerkin (LDG) methodaccuracy-enhancementnegative order norm estimatesultra-weak local discontinuous Galerkin (UWLDG)
Shocks and singularities for hyperbolic equations (35L67) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)
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