Superconvergence of finite volume element method for a nonlinear elliptic problem

DOI10.1002/num.20173zbMath1119.65105OpenAlexW2011851063MaRDI QIDQ3418137

Chunjia Bi

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1002/num.20173

zbMATH Keywords

superconvergencenonlinear elliptic problemfinite volume element method\(L^{p}\) error estimate

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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)

Related Items (13)

A discontinuous finite volume element method for second-order elliptic problems ⋮ A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem ⋮ Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation ⋮ Finite volume element method for nonlinear elliptic equations on quadrilateral meshes ⋮ 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. ⋮ Two-grid finite volume element method for linear and nonlinear elliptic problems ⋮ A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation ⋮ A Two-Grid Finite-Volume Method for the Schrodinger Equation ⋮ Discontinuous finite volume element method for parabolic problems ⋮ Finite volume method for the variational inequalities of first and second kinds ⋮ Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems ⋮ Finite volume element method for monotone nonlinear elliptic problems

Cites Work

• Lp error estimates and superconvergence for covolume or finite volume element methods
• Error estimates for finite volume element methods for general second-order elliptic problems
• Symmetric mixed covolume methods for parabolic problems
• Finite volume element approximations of nonlocal reactive flows in porous media

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