High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws
DOI10.1016/j.camwa.2017.02.039zbMath1373.65070OpenAlexW2600575744MaRDI QIDQ2403727
Publication date: 12 September 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.039
stabilityconvergenceconservation lawsLagrange multipliershallow water equationsEuler equationshigh-order approximationsdiscontinuous Galerkin methodsnumerical resultBurgers' equations
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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