A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
DOI10.1016/J.APNUM.2024.08.013MaRDI QIDQ6638826
Xiu Ye, Shangyou Zhang, Xuejun Xu
Publication date: 14 November 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
mixed finite element methodssecond-order elliptic problempolygonal meshpolyhedral meshH-div finite element
Error bounds for boundary value problems involving PDEs (65N15) 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) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Rate of convergence, degree of approximation (41A25)
Cites Work
- Title not available (Why is that?)
- The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements for second order elliptic problems in three variables
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra
- A weak Galerkin finite element method for second-order elliptic problems
- A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons
- A stabilizer free weak Galerkin finite element method on polytopal mesh. II
- A stabilizer free weak Galerkin finite element method on polytopal mesh. III
- A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction
- A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
- A mixed finite-element method on polytopal mesh
- Development of a LDG method on polytopal mesh with optimal order of convergence
- A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes
- Hybrid high-order methods for variable-diffusion problems on general meshes
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- Mixed finite elements, compatibility conditions, and applications. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 26--July 1, 2006
- The finite element method with Lagrangian multipliers
- A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes
- Two families of \(H(\operatorname{div})\) mixed finite elements on quadrilaterals of minimal dimension
- Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements
- Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Polygonal finite elements for topology optimization: A unifying paradigm
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Mixed and Hybrid Finite Element Methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- QuadrilateralH(div) Finite Elements
- A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions
- Virtual Element Methods Without Extrinsic Stabilization
Related Items (1)
This page was built for publication: A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6638826)
