An oscillation-free discontinuous Galerkin method for shallow water equations
DOI10.1007/s10915-022-01893-wzbMath1497.65177arXiv2109.02193OpenAlexW4289793466MaRDI QIDQ2674262
Qi Tao, Yong Liu, Yinhua Xia, Jianfang Lu
Publication date: 22 September 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.02193
shallow water equationswell-balanced schemehyperbolic balance lawsoscillation-free discontinuous Galerkin method
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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