Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case (Q6111317)

scientific article; zbMATH DE number 7708301

Language	Label	Description	Also known as
English	Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case	scientific article; zbMATH DE number 7708301

Statements

instance of

scholarly article

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title

Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case (English)

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Communications in Computational Physics

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publication date

6 July 2023

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zbMATH Keywords

$C^m$ finite element methods

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superconvergence

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fourth-order elliptic equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/cicp.oa-2022-0311

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cites work

Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem

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Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems

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Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates

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Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations

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Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems

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Optimal error estimates and superconvergence of an ultra weak discontinuous Galerkin method for fourth-order boundary-value problems

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A mixed finite element method for fourth order elliptic equations with variable coefficients

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A Hybrid High-Order method for Kirchhoff–Love plate bending problems

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Higher Order Local Accuracy by Averaging in the Finite Element Method

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The Mathematical Theory of Finite Element Methods

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On the finite volume element method

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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 $C^1$ Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence

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A $C^1$ Conforming Petrov--Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes

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Superconvergence and time evolution of discontinuous Galerkin finite element solutions

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Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

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

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Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem

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Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity

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Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods

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Discontinuous Galerkin methods for the biharmonic problem

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Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach

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Q3002853

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Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations

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Superconvergence of both the Crouzeix-Raviart and Morley elements

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Superconvergence of a finite element method for the biharmonic equation

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Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

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The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

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Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation

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On mixed methods for fourth-order problems

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Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point

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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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A mixed finite volume element method based on rectangular mesh for biharmonic equations

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Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D

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

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Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

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Superconvergence Points of Polynomial Spectral Interpolation

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Superconvergence of a Chebyshev spectral collocation method

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Superconvergence of discontinuous Galerkin methods for convection-diffusion problems

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Identifiers

zbMATH Open document ID

1514.65165

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DOI

10.4208/cicp.oa-2022-0311

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6111317