Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations
DOI10.1051/m2an/2016004zbMath1357.65171arXiv1503.08554OpenAlexW1498051977MaRDI QIDQ2952998
Giorevinus Simarmata, Olivier Bokanowski
Publication date: 30 December 2016
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.08554
stabilityconvergencenumerical examplesmethod of characteristicshigh-order methodsadvection-diffusion equationsCourant-Friedrichs-Lewy conditionsemi-Lagrangian schemediscontinuous Galerkin elementsweak Taylor scheme
Heat equation (35K05) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) First-order hyperbolic equations (35L02)
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