ADI quadratic finite volume element methods for second order hyperbolic problems

DOI10.1007/S12190-008-0220-7zbMath1179.65128OpenAlexW2159405442MaRDI QIDQ1034980

Chuanjun Chen, Min Yang

Publication date: 9 November 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0220-7

zbMATH Keywords

finite volume element methodalternating direction implicit (ADI) methodsecond order hyperbolic problemsbiquadratic basesoptimal \(H^1\)-norm error estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Iterative numerical methods for linear systems (65F10) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Biquadratic finite volume element methods based on optimal stress points for parabolic problems ⋮ A multi-block ADI finite-volume method for incompressible Navier-Stokes equations in complex geometries ⋮ Symmetric finite volume method for second order variable coefficient hyperbolic equations ⋮ Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations ⋮ Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations ⋮ Quadratic finite volume element method for the improved Boussinesq equation

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