A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons

DOI10.1016/j.aml.2021.107033zbMath1468.65208arXiv2009.13604OpenAlexW3122377474MaRDI QIDQ2021488

Shangyou Zhang, Xiu Ye

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13604

zbMATH Keywords

finite element methodsweak GalerkinPoissonpolytopal meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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A family of H-div-div mixed triangular finite elements for the biharmonic equation ⋮ Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes ⋮ A weak Galerkin method for elasticity interface problems

Cites Work

• A weak Galerkin finite element method for second-order elliptic problems
• A stabilizer-free weak Galerkin finite element method on polytopal meshes
• Polynomial extension operators. Part III
• Polynomial Extension Operators. Part II
• Local Jacobi Operators and Applications to thep-Version of Finite Element Method in Two Dimensions
• Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
• $H^2$-Stable Polynomial Liftings on Triangles
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Relèvement polynômial de traces et applications
• The lifting of polynomial traces revisited
• Polynomial Extension Operators. Part I

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