Galerkin alternating-direction method for a kind of three-dimensional nonlinear hyperbolic problems

DOI10.1016/j.camwa.2008.07.043zbMath1165.65391OpenAlexW2070542523MaRDI QIDQ1029888

Xiang Lai, Yi-Rang Yuan

Publication date: 13 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.07.043

zbMATH Keywords

convergence analysisnumerical examplehyperbolic equationfirst-order system of equationsGalerkin alternating-direction finite element

Mathematics Subject Classification ID

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) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (6)

Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations ⋮ Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element ⋮ A two-grid method for finite element solution of parabolic integro-differential equations ⋮ A new approach to convergence analysis of linearized finite element method for nonlinear hyperbolic equation

Cites Work

• An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables
• Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• Unnamed Item

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