Evolution Galerkin methods for hyperbolic systems in two space dimensions
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Publication:4501031
DOI10.1090/S0025-5718-00-01228-XzbMath0951.35076OpenAlexW2003708973MaRDI QIDQ4501031
Gerald Warnecke, K. W. Morton, Mária Lukáčová-Medvid'ová
Publication date: 3 September 2000
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01228-x
Hyperbolic conservation laws (35L65) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation
- The numerical solution of hyperbolic systems of partial differential equations in three independent variables
- Characteristic Galerkin Methods for Scalar Conservation Laws in One Dimension
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- On the Analysis of Finite Volume Methods for Evolutionary Problems
- Euler characteristic Galerkin scheme with recovery
- Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions
- Comparison of Characteristic Schemes for Three-Dimensional, Steady, Isentropic Flow
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