An optimal order estimate for nonlinear hyperbolic conservation laws in two variables

DOI10.1016/S0893-9659(99)00190-1zbMath0955.35054MaRDI QIDQ1588736

Jichun Li

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

finite element methodsrectangular meshes

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Finite element methods for linear hyperbolic problems
• Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• Explicit Finite Element Methods for Symmetric Hyperbolic Equations
• Galerkin Methods for First Order Hyperbolics: An Example