Superconvergent postprocessing of the $C^1$-conforming finite element method for fourth-order boundary value problems (Q6064939)

scientific article; zbMATH DE number 7763883

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English	Superconvergent postprocessing of the $C^1$-conforming finite element method for fourth-order boundary value problems	scientific article; zbMATH DE number 7763883

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instance of

scholarly article

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title

Superconvergent postprocessing of the $C^1$-conforming finite element method for fourth-order boundary value problems (English)

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published in

Applied Numerical Mathematics

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publication date

10 November 2023

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zbMATH Keywords

$C^1$-conforming finite element method

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fourth-order boundary value problem

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postprocessing

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superconvergence

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MaRDI profile type

MaRDI publication profile

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cites work

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Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations

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A Superconvergent Local Discontinuous Galerkin Method for Nonlinear Fourth-Order Boundary-Value Problems

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A superconvergent ultra-weak 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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Some Spectral Approximations of Two-Dimensional Fourth-Order Problems

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Spectral methods for the approximation of fourth-order problems: Application to the stokes and Navier-Stokes equations

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Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations

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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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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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Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation

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Discontinuous Galerkin methods for the biharmonic problem

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The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions

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On superconvergence techniques

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Postprocessing schemes for some mixed finite elements

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Single cell discretizations of order two and four for biharmonic problems

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Q5722857

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Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems

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Superconvergence of the $h$-$p$ version of the finite element method in one dimension

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Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations

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Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations

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Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems

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Identifiers

zbMATH Open document ID

1528.65038

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2023.07.018

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Sitelinks

Mathematics(1 entry)

mardi Publication:6064939

Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems (Q6064939)

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Sitelinks

Mathematics(1 entry)