A Conforming Dg Method for the Biharmonic Equation on Polytopal Meshes (Q6143284)

scientific article; zbMATH DE number 7793828

Language	Label	Description	Also known as
English	A Conforming Dg Method for the Biharmonic Equation on Polytopal Meshes	scientific article; zbMATH DE number 7793828

Statements

instance of

scholarly article

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title

A Conforming Dg Method for the Biharmonic Equation on Polytopal Meshes (English)

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International Journal of Numerical Analysis and Modeling

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publication date

23 January 2024

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full work available at URL

https://arxiv.org/abs/1907.10661

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zbMATH Keywords

finite element methods

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weak Laplacian

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biharmonic equations

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polyhedral meshes

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MaRDI profile type

MaRDI publication profile

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cites work

Q3873462

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Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems

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Finite elements for divdiv conforming symmetric tensors in three dimensions

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Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension

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Some mixed finite element methods for biharmonic equation

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On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation

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Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

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A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems

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Approximation of the Biharmonic Equation by a Mixed Finite Element Method

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A conforming finite element for plate bending

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Discontinuous Galerkin methods for the biharmonic problem

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An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems

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An iterative method based on equation decomposition for the fourth‐order singular perturbation problem

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Q5647969

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The Lowest Order Differentiable Finite Element on Rectangular Grids

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A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids

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A Lower Bound of the $L^2$ Norm Error Estimate for the Adini Element of the Biharmonic Equation

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A family of 3D $H^2$-nonconforming tetrahedral finite elements for the biharmonic equation

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The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids

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A cubic $H^3$-nonconforming finite element

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An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems

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A superconvergence of the Morley element via postprocessing

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On the convergence of a mixed finite-element method for plate bending problems

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Q4082392

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A Mixed Finite Element Method for the Biharmonic Equation

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A Nodal Basis for C 1 Piecewise Polynomials of Degree n ≥5

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$hp$-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation

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A Priori Error Analysis for the hp-Version of the Discontinuous Galerkin Finite Element Method for the Biharmonic Equation

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Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

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A modified weak Galerkin finite element method for the Stokes equations

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A $C^0$-weak Galerkin finite element method for the biharmonic equation

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Development of a P2 element with optimal L2 convergence for biharmonic equation

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On Cubic and Quartic Clough–Tocher Finite Elements

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Piecewise Quadratic Approximations on Triangles

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On nonconforming an mixed finite element methods for plate bending problems. The linear case

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A mixed method for 4th order problems using linear finite elements

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$hp$-version interior penalty DGFEMs for the biharmonic equation

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The Morley element for fourth order elliptic equations in any dimensions

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Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$

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A weak Galerkin mixed finite element method for second order elliptic problems

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A weak Galerkin finite element method for second-order elliptic problems

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A modified weak Galerkin finite element method

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Q5118320

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Q5118475

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A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes

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A family of H-div-div mixed triangular finite elements for the biharmonic equation

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A new $P_1$ weak Galerkin method for the biharmonic equation

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Polynomial approximation on tetrahedrons in the finite element method

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Q4084144

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An optimal order multigrid method for biharmonic, $C^ 1$ finite element equations

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A C1-P2 finite element without nodal basis

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Identifiers

arXiv ID

1907.10661

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Mathematics Subject Classification ID

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10.4208/IJNAM2023-1037

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Sitelinks

Mathematics(1 entry)

mardi Publication:6143284