New superconvergent structures developed from the finite volume element method in 1D
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Publication:5856740
DOI10.1090/mcom/3587zbMath1484.65161arXiv2002.04006OpenAlexW3005295553MaRDI QIDQ5856740
Yonghai Li, Junliang Lv, Xiang Wang
Publication date: 29 March 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.04006
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (6)
Construction and analysis of the quadratic finite volume methods on tetrahedral meshes ⋮ Finite volume element method for nonlinear elliptic equations on quadrilateral meshes ⋮ Robust BDDC algorithms for finite volume element methods ⋮ New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method ⋮ The Hermite finite volume method with global conservation law ⋮ Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes
Cites Work
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- Superconvergence of any order finite volume schemes for 1D general elliptic equations
- A family of finite volume schemes of arbitrary order on rectangular meshes
- On superconvergence techniques
- \(L^{2}\) 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
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- Superconvergence of finite volume methods for the second-order elliptic problem
- On first and second order box schemes
- Box schemes on quadrilateral meshes
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- Superconvergence of quadratic finite volume method on triangular meshes
- Superconvergence in Galerkin finite element methods
- A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation
- Superconvergence in the generalized finite element method
- The finite volume element method with quadratic basis functions
- $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes
- $L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
- Is 2k-Conjecture Valid for Finite Volume Methods?
- Superconvergence byM-decompositions. Part II: Construction of two-dimensional finite elements
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- The Finite Volume Element Method for Diffusion Equations on General Triangulations
- Postprocessing of a finite volume element method for semilinear parabolic problems
- Natural Superconvergence Points in Three-Dimensional Finite Elements
- Some Error Estimates for the Box Method
- Superconvergence of the gradient for quadratic triangular finite elements
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- High Order Local Approximations to Derivatives in the Finite Element Method
- On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems
- Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- Superconvergence Points of Polynomial Spectral Interpolation
- On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate
- Conditioning of the finite volume element method for diffusion problems with general simplicial meshes
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- A construction of higher-order finite volume methods
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