Uniform Poincaré inequalities for the discrete de Rham complex on general domains

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) de Rham cohomology and algebraic geometry (14F40) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

Unnamed Item
Unnamed Item
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes
Robust hybrid high-order method on polytopal meshes with small faces
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence
Virtual elements for Maxwell's equations
Poincaré-Friedrichs inequalities of complexes of discrete distributional differential forms
The hybrid high-order method for polytopal meshes. Design, analysis, and applications
Equilibrated tractions for the hybrid high-order method
Finite element potentials
On a lemma of Jacques-Louis Lions and its relation to other fundamental results
The mimetic finite difference method for elliptic problems
A new set of basis functions for the discrete geometric approach
An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
Mimetic finite differences for elliptic problems
A Hybrid High-Order Method for Nonlinear Elasticity
A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics
Analysis of Finite Difference Schemes
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
Cohomology of the discrete de Rham complex on domains of general topology
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem

This page was built for publication: Uniform Poincaré inequalities for the discrete de Rham complex on general domains