A cubic \(H^3\)-nonconforming finite element

DOI10.1007/s42967-019-0009-8zbMath1449.65315OpenAlexW2922238581WikidataQ128226691 ScholiaQ128226691MaRDI QIDQ2289849

Shangyou Zhang, Jun Hu

Publication date: 27 January 2020

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-019-0009-8

zbMATH Keywords

minimum elementnonconforming macro-elementtri-harmonic equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension ⋮ A family of H-div-div mixed triangular finite elements for the biharmonic equation ⋮ A decoupled finite element method for the triharmonic equation ⋮ Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes ⋮ A Conforming Dg Method for the Biharmonic Equation on Polytopal Meshes ⋮ Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\)

Cites Work

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• A new a priori error estimate of nonconforming finite element methods
• On the error bounds of nonconforming finite elements
• A family of 3D continuously differentiable finite elements on tetrahedral grids
• The Lowest Order Differentiable Finite Element on Rectangular Grids
• A new error analysis for discontinuous finite element methods for linear elliptic problems
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• The Structure of Multivariate Superspline Spaces of High Degree
• Piecewise Quadratic Approximations on Triangles
• Nonconforming finite element spaces for $2m$th order partial differential equations on $\mathbb {R}^n$ simplicial grids when $m=n+1$
• Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$
• The Mathematical Theory of Finite Element Methods
• The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids

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