Flexible ultra-convergence structures for the finite volume element method (Q6608121)

scientific article; zbMATH DE number 7915989

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English	Flexible ultra-convergence structures for the finite volume element method	scientific article; zbMATH DE number 7915989

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instance of

scholarly article

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title

Flexible ultra-convergence structures for the finite volume element method (English)

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Journal of Scientific Computing

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publication date

19 September 2024

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zbMATH Keywords

superconvergence

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ultra-convergence

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finite volume element

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generalized M-decomposition

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orthogonality condition

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MaRDI profile type

Publication

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cites work

Superconvergence in the generalized finite element method

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Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method

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Some Error Estimates for the Box Method

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The Finite Volume Element Method for Diffusion Equations on General Triangulations

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Superconvergence of immersed finite volume methods for one-dimensional interface problems

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Superconvergence of any order finite volume schemes for 1D general elliptic equations

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Is 2k-Conjecture Valid for Finite Volume Methods?

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A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations

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A note on the optimal $L^2$-estimate of the finite volume element method

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A construction of higher-order finite volume methods

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Superconvergence of finite volume methods for the second-order elliptic problem

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Superconvergence by<i>M</i>-decompositions. Part II: Construction of two-dimensional finite elements

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On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials

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Large-eddy simulation of wall-bounded incompressible turbulent flows based on multi-moment finite volume formulation

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Local superconvergence of post-processed high-order finite volume element solutions

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Coercivity results of a modified $Q_1$-finite volume element scheme for anisotropic diffusion problems

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Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements

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On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems

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A general positivity-preserving algorithm for implicit high-order finite volume schemes solving the Euler and Navier-Stokes equations

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On superconvergence techniques

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Q4936091

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The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations

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The finite volume element method with quadratic basis functions

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Natural Superconvergence Points in Three-Dimensional Finite Elements

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A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation

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$L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes

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Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

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A Quadratic Discontinuous Finite Volume Element Scheme for Stokes Problems

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$L^{2}$ error estimates and superconvergence of the finite volume element methods on quadrilateral meshes

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Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes

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Superconvergence and asymptotic expansion for semidiscrete bilinear finite volume element approximation of the parabolic problem

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Box schemes on quadrilateral meshes

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An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

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High Order Local Approximations to Derivatives in the Finite Element Method

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Superconvergence in Galerkin finite element methods

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Conditioning of the finite volume element method for diffusion problems with general simplicial meshes

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$L^2$ error estimates for high order finite volume methods on triangular meshes

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New superconvergent structures developed from the finite volume element method in 1D

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On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

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Analysis of linear and quadratic simplicial finite volume methods for elliptic equations

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Postprocessing of a finite volume element method for semilinear parabolic problems

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Unified construction and $L^2$ analysis for the finite volume element method over tensorial meshes

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Superconvergence Points of Polynomial Spectral Interpolation

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A New Finite Element Gradient Recovery Method: Superconvergence Property

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Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems

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The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique

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Identifiers

zbMATH Open document ID

1547.65104

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Mathematics Subject Classification ID

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10.1007/S10915-024-02654-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608121