Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes
DOI10.1007/s00211-017-0912-8zbMath1421.65027OpenAlexW2745389073MaRDI QIDQ681703
Qingsong Zou, Zhimin Zhang, Wen-ming He
Publication date: 13 February 2018
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-017-0912-8
Green's functionquadrilateral mesheshigher orderfinite-volume schemescomparing with higher-order finite elementsoptimal maximum-norm error estimates
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
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- The local ultraconvergence for high-degree Galerkin finite element methods
- Superconvergence of any order finite volume schemes for 1D general elliptic equations
- The local superconvergence of the trilinear element for the three-dimensional Poisson problem
- High order finite volume approximations of differential operators on nonuniform grids
- 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
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- On first and second order box schemes
- Box schemes on quadrilateral meshes
- A finite volume method based on the Crouzeix-Raviart element for elliptic PDE's in two dimensions
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- On the regularity and uniformness conditions on quadrilateral grids
- Maximum principle and uniform convergence for the finite element method
- $L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
- $2k$ superconvergence of $Q_k$ finite elements by anisotropic mesh approximation in weighted Sobolev spaces
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements
- Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates
- Some Error Estimates for the Box Method
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- The Accuracy of Cell Vertex Finite Volume Methods on Quadrilateral Meshes
- Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
- Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1
- Lp error estimates and superconvergence for covolume or finite volume element methods
- Approximation by quadrilateral finite elements
- Finite Volume Methods for Hyperbolic Problems
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Finite Volume Methods for Convection-Diffusion Problems
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
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