Finite volume element method for nonlinear elliptic equations on quadrilateral meshes

Boundary value problems for second-order elliptic equations (35J25) 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) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems
An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations
$L^{2}$ error estimates and superconvergence of the finite volume element methods on quadrilateral meshes
Higher-order finite volume methods for elliptic boundary value problems
On the finite volume element method
Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems
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$L^{2}$ error estimate of the finite volume element methods on quadrilateral meshes
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
Two-grid methods for finite volume element approximations of nonlinear parabolic equations
Box schemes on quadrilateral meshes
A note on the optimal $L^2$-estimate of the finite volume element method
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Two-grid finite volume element method for linear and nonlinear elliptic problems
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Finite volume element method for monotone nonlinear elliptic problems
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Generalized Difference Methods for a Nonlinear Dirichlet Problem
Superconvergence of finite volume element method for a nonlinear elliptic problem
A second-order finite volume element method on quadrilateral meshes for elliptic equations
A finite volume element method for a non‐linear elliptic problem
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Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations
The Mathematical Theory of Finite Element Methods
New superconvergent structures developed from the finite volume element method in 1D

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