Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants
Fuente:
arXiv
Saved in:
| Main Authors: | Ern, Alexandre, Guzmán, Johnny, Potu, Pratyush, Vohralík, Martin |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Local L2-bounded commuting projections using discrete local problems on Alfeld splits
by: Ern, Alexandre, et al.
Published: (2025)
by: Ern, Alexandre, et al.
Published: (2025)
Bounded, Commuting, Discrete-trace Preserving Projections
by: Ern, Alexandre, et al.
Published: (2026)
by: Ern, Alexandre, et al.
Published: (2026)
Discrete Poincare and Bogovskii operators on cochains and Whitney forms
by: Guzmán, Johnny, et al.
Published: (2026)
by: Guzmán, Johnny, et al.
Published: (2026)
A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms
by: Guzmán, Johnny, et al.
Published: (2025)
by: Guzmán, Johnny, et al.
Published: (2025)
Discrete $p$-robust $\mathbf{H}(\mathrm{div})$-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
by: Ern, Alexandre, et al.
Published: (2016)
by: Ern, Alexandre, et al.
Published: (2016)
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
by: Gantner, Gregor, et al.
Published: (2022)
by: Gantner, Gregor, et al.
Published: (2022)
A posteriori error estimates and adaptivity for locally conservative methods. Inexpensive implementation and evaluation, polytopal meshes, iterative linearization and algebraic solvers, and applications to complex porous media flows
by: Vohralík, Martin, et al.
Published: (2025)
by: Vohralík, Martin, et al.
Published: (2025)
A quasi-interpolation operator yielding fully computable error bounds
by: Chaumont-Frelet, T., et al.
Published: (2025)
by: Chaumont-Frelet, T., et al.
Published: (2025)
Computable Poincaré--Friedrichs constants for the $L^{p}$ de~Rham complex over convex domains and domains with shellable triangulations
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
$hp$-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems
by: Dong, Zhaonan, et al.
Published: (2026)
by: Dong, Zhaonan, et al.
Published: (2026)
A-posteriori-steered $p$-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
by: Miraçi, Ani, et al.
Published: (2024)
by: Miraçi, Ani, et al.
Published: (2024)
Improved $L^2$-error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes
by: Cockburn, Bernardo, et al.
Published: (2025)
by: Cockburn, Bernardo, et al.
Published: (2025)
A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions
by: Chaumont-Frelet, T., et al.
Published: (2024)
by: Chaumont-Frelet, T., et al.
Published: (2024)
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme
by: Chaumont-Frelet, T., et al.
Published: (2024)
by: Chaumont-Frelet, T., et al.
Published: (2024)
Discrete Poincaré and Trace Inequalities for the Hybridizable Discontinuous Galerkin Method
by: Yue, Yukun
Published: (2024)
by: Yue, Yukun
Published: (2024)
Elasticity-based morphing technique and application to reduced-order modeling
by: Kabalan, Abbas, et al.
Published: (2024)
by: Kabalan, Abbas, et al.
Published: (2024)
Optimal morphings for model-order reduction for poorly reducible problems with geometric variability
by: Kabalan, Abbas, et al.
Published: (2025)
by: Kabalan, Abbas, et al.
Published: (2025)
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number
by: Burman, Erik, et al.
Published: (2024)
by: Burman, Erik, et al.
Published: (2024)
A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework
by: Abbas, Mickaël, et al.
Published: (2019)
by: Abbas, Mickaël, et al.
Published: (2019)
$hp$-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2024)
by: Dong, Zhaonan, et al.
Published: (2024)
A stabilized three fields formulation for Discrete Fracture Networks
by: Berrone, Stefano, et al.
Published: (2024)
by: Berrone, Stefano, et al.
Published: (2024)
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
by: Brugnoli, Andrea, et al.
Published: (2024)
by: Brugnoli, Andrea, et al.
Published: (2024)
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex
by: Chaumont-Frelet, T., et al.
Published: (2022)
by: Chaumont-Frelet, T., et al.
Published: (2022)
Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes
by: Mottier, Romain, et al.
Published: (2025)
by: Mottier, Romain, et al.
Published: (2025)
Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems
by: Burman, Erik, et al.
Published: (2025)
by: Burman, Erik, et al.
Published: (2025)
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains
by: Di Pietro, Daniele A., et al.
Published: (2023)
by: Di Pietro, Daniele A., et al.
Published: (2023)
$\boldsymbol{H}(\textbf{curl})$-reconstruction of piecewise polynomial fields with application to $hp$-a posteriori nonconforming error analysis for Maxwell's equations
by: Dong, Zhaonan, et al.
Published: (2025)
by: Dong, Zhaonan, et al.
Published: (2025)
Discrete minimizers of the interaction energy in collective behavior: a brief numerical and analytic review
by: Cañizo, José A., et al.
Published: (2024)
by: Cañizo, José A., et al.
Published: (2024)
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space
by: Li, Lei, et al.
Published: (2025)
by: Li, Lei, et al.
Published: (2025)
An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems
by: Burman, Erik, et al.
Published: (2025)
by: Burman, Erik, et al.
Published: (2025)
Solving Maxwell's Equations with Mimetic Methods
by: Corbino, Johnny
Published: (2026)
by: Corbino, Johnny
Published: (2026)
Hybrid high-order methods for elasto-acoustic wave propagation in the time domain
by: Mottier, Romain, et al.
Published: (2025)
by: Mottier, Romain, et al.
Published: (2025)
Well-posedness, long-time behavior, and discretization of some models of nonlinear acoustics in velocity-enthalpy formulation
by: Egger, Herbert, et al.
Published: (2024)
by: Egger, Herbert, et al.
Published: (2024)
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
by: Burman, Erik, et al.
Published: (2024)
by: Burman, Erik, et al.
Published: (2024)
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
by: Burman, Erik, et al.
Published: (2024)
by: Burman, Erik, et al.
Published: (2024)
Towards modular Hierarchical Poincaré-Steklov solvers
by: Outrata, Michal, et al.
Published: (2025)
by: Outrata, Michal, et al.
Published: (2025)
GPU Optimizations for the Hierarchical Poincaré-Steklov Scheme
by: Yesypenko, Anna, et al.
Published: (2022)
by: Yesypenko, Anna, et al.
Published: (2022)
Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
by: Ern, Alexandre, et al.
Published: (2019)
by: Ern, Alexandre, et al.
Published: (2019)
The inf-sup constant for the divergence on corner domains
by: Costabel, Martin, et al.
Published: (2014)
by: Costabel, Martin, et al.
Published: (2014)
Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology
by: Lemaire, Simon, et al.
Published: (2023)
by: Lemaire, Simon, et al.
Published: (2023)
Similar Items
-
Local L2-bounded commuting projections using discrete local problems on Alfeld splits
by: Ern, Alexandre, et al.
Published: (2025) -
Bounded, Commuting, Discrete-trace Preserving Projections
by: Ern, Alexandre, et al.
Published: (2026) -
Discrete Poincare and Bogovskii operators on cochains and Whitney forms
by: Guzmán, Johnny, et al.
Published: (2026) -
A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms
by: Guzmán, Johnny, et al.
Published: (2025) -
Discrete $p$-robust $\mathbf{H}(\mathrm{div})$-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
by: Ern, Alexandre, et al.
Published: (2016)