Fluctuations and signals for scalar hyperbolic equations on adjustable meshes

DOI<877::AID-CNM300>3.0.CO;2-W 10.1002/(SICI)1099-0887(199912)15:12<877::AID-CNM300>3.0.CO;2-WzbMath0946.65075OpenAlexW2055986182MaRDI QIDQ4944696

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Publication date: 21 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199912)15:12<877::aid-cnm300>3.0.co;2-w

zbMATH Keywords

convergenceconservation lawsadaptive gridsmultidimensional upwindingfluctuation distribution schemesteepest descent least squares method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Variational mesh adaptation. II: Error estimates and monitor functions, Moving finite element, least squares, and finite volume approximations of steady and time-dependent PDEs in multidimensions, 2D and 3D finite element meshing and remeshing

Cites Work

• A multidimensional generalization of Roe's flux difference splitter for the Euler equations
• Analysis of an algorithm for generating locally optimal meshes for 𝐿₂ approximation by discontinuous piecewise polynomials