Some superconvergence results for the covolume method for elliptic problems

DOI10.1002/cnm.403zbMath0987.65109OpenAlexW1990286059MaRDI QIDQ2731528

Jian-Guo Huang, Li-Kang Li

Publication date: 9 June 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.403

zbMATH Keywords

superconvergencecovolume methodselfadjoint elliptic problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (4)

Superconvergence of mixed covolume method for elliptic problems on triangular grids ⋮ The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type. ⋮ A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation ⋮ A domain decomposition algorithm for general covolume methods for elliptic problems

Cites Work

• On the finite volume element method
• Some Error Estimates for the Box Method
• Direct Discretization of Planar Div-Curl Problems
• On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
• Mixed Covolume Methods for Elliptic Problems on Triangular Grids
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• Analysis and convergence of a covolume method for the generalized Stokes problem
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