The study of a Petrov-Galerkin method for first-order hyperbolic equations

DOI10.1016/0045-7825(84)90154-3zbMath0558.65074OpenAlexW2028624448MaRDI QIDQ802288

N. E. Zubov

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90154-3

zbMATH Keywords

finite differences in timePetrov-Galerkin approximation in spacePetrov-Galerkin finite elements

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

An analysis of time discretization in the finite element solution of hyperbolic problems, An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points

Cites Work

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• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• Finite element methods for second order differential equations with significant first derivatives