Discontinuous Galerkin methods with generalized numerical fluxes for the Vlasov-viscous Burgers' system
DOI10.1007/s10915-023-02230-5zbMath1516.65088arXiv2305.01285MaRDI QIDQ6159249
Krishan Kumar, Amiya K. Pani, Harsha Hutridurga
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.01285
numerical experimentsdiscontinuous Galerkin methodoptimal error estimatesLDG methodgeneralized Gauss-Radau projectiongeneralized numerical fluxesdiscrete mass and momentum conservationVlasov-viscous Burgers' system
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for differential-algebraic equations (65L80) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Two gas multicomponent flows (76T17)
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