Analysis and convergence of finite volume method using discontinuous bilinear functions

DOI10.1002/num.20266zbMath1133.65091OpenAlexW2154157274MaRDI QIDQ5438253

Xiu Ye

Publication date: 23 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20266

zbMATH Keywords

convergenceerror estimatesfinite volume methoddiscontinuous Galerkin methodStokes problembilinear function

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items

A Discontinuous Finite Volume Element Method Based on Bilinear Trial Functions, Discontinuous finite volume methods for the stationary Stokes–Darcy problem, A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach, Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids, An algorithm using the finite volume element method and its splitting extrapolation, Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations

Cites Work

• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Analysis and convergence of a covolume method for the generalized Stokes problem