A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
type: Item
instance of: scholarly article
title: A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
author: Xuejun Xu
author: Xiu Ye
author: Shangyou Zhang
published in: Applied Numerical Mathematics
publication date: 2024-11-14T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 7944869
zbMATH Keywords: mixed finite element methods
zbMATH Keywords: H-div finite element
zbMATH Keywords: second-order elliptic problem
zbMATH Keywords: polygonal mesh
zbMATH Keywords: polyhedral mesh
MaRDI profile type: Publication
cites work: Two families of \(H(\operatorname{div})\) mixed finite elements on quadrilaterals of minimal dimension
cites work: Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra
cites work: QuadrilateralH(div) Finite Elements
cites work: Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
cites work: The finite element method with Lagrangian multipliers
cites work: Mixed finite elements, compatibility conditions, and applications. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 26--July 1, 2006
cites work: Mixed Finite Element Methods and Applications
cites work: Mixed and Hybrid Finite Element Methods
cites work: Mixed finite elements for second order elliptic problems in three variables
cites work: Two families of mixed finite elements for second order elliptic problems
cites work: Virtual Element Methods Without Extrinsic Stabilization
cites work: Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
cites work: Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
cites work: A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes
cites work: Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
cites work: Hybrid high-order methods for variable-diffusion problems on general meshes
cites work: Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements
cites work: A mixed finite-element method on polytopal mesh
cites work: The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
cites work: A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
cites work: Q4136469
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: Polygonal finite elements for topology optimization: A unifying paradigm
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: A weak Galerkin finite element method for second-order elliptic problems
cites work: A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions
cites work: A stabilizer-free weak Galerkin finite element method on polytopal meshes
cites work: A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
cites work: A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
cites work: A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons
cites work: A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction
cites work: A stabilizer free weak Galerkin finite element method on polytopal mesh. II
cites work: A stabilizer free weak Galerkin finite element method on polytopal mesh. III
cites work: A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes
cites work: Development of a LDG method on polytopal mesh with optimal order of convergence
DOI: 10.1016/J.APNUM.2024.08.013
description: scientific article; zbMATH DE number 7944869