A stable local commuting projector and optimal $hp$ approximation estimates in $\boldsymbol{H}(\mathrm{curl})$ (Q6644046)

scientific article; zbMATH DE number 7949945

Language	Label	Description	Also known as
English	A stable local commuting projector and optimal $hp$ approximation estimates in $\boldsymbol{H}(\mathrm{curl})$	scientific article; zbMATH DE number 7949945

Statements

instance of

scholarly article

0 references

title

A stable local commuting projector and optimal $hp$ approximation estimates in $\boldsymbol{H}(\mathrm{curl})$ (English)

0 references

0 references

0 references

Numerische Mathematik

0 references

publication date

27 November 2024

0 references

MaRDI profile type

Publication

0 references

cites work

Finite element exterior calculus, homological techniques, and applications

0 references

Q4073917

0 references

Local L2-bounded commuting projections in FEEC

0 references

The $h-p$ version of the finite element method with quasiuniform meshes

0 references

A note on the Poincaré inequality for convex domains

0 references

Residual based a posteriori error estimators for eddy current computation

0 references

A new $H$(div)-conforming ${p}$-interpolation operator in two dimensions

0 references

Optimal Error Estimation for ${\bfH}({\rmcurl})$-Conformingp-Interpolation in Two Dimensions

0 references

Mixed Finite Element Methods and Applications

0 references

Equilibrated residual error estimates are $p$-robust

0 references

Equilibrated residual error estimator for edge elements

0 references

Polynomial-degree-robust $\boldsymbol H(\mathbf{curl})$-stability of discrete minimization in a tetrahedron

0 references

Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

0 references

$p$ -Robust Equilibrated Flux Reconstruction in $\boldsymbol{H}(\textrm{curl})$ Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem

0 references

Equivalence of local-best and global-best approximations in $\boldsymbol{H}(\mathrm{curl})$

0 references

Smoothed projections in finite element exterior calculus

0 references

Q4162607

0 references

Singularities of Maxwell interface problems

0 references

On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains

0 references

$H^1$, $H$(curl) and $H$(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal $p$-interpolation estimates

0 references

Polynomial Extension Operators. Part I

0 references

Polynomial Extension Operators. Part II

0 references

Polynomial extension operators. III

0 references

Q3517285

0 references

Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div)

0 references

Finite element quasi-interpolation and best approximation

0 references

Finite Elements II

0 references

Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes

0 references

Stable broken $H^1$ and $H(\mathrm {div})$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

0 references

Local bounded cochain projections

0 references

Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions

0 references

Numerical Homogenization of H(curl)-Problems

0 references

Local finite element approximation of Sobolev differential forms

0 references

A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems

0 references

An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems

0 references

Finite Element Methods for Navier-Stokes Equations

0 references

Q3470840

0 references

7. Discrete regular decompositions of tetrahedral discrete 1-forms

0 references

On commuting $p$-version projection-based interpolation on tetrahedra

0 references

On the $p$- and $hp$-extension of Nédélec's curl-conforming elements

0 references

Mixed finite elements in $\mathbb{R}^3$

0 references

An optimal Poincaré inequality for convex domains

0 references

Q4136469

0 references

On the Stability and Convergence of Higher-Order Mixed Finite Element Methods for Second-Order Elliptic Problems

0 references

Approximating gradients with continuous piecewise polynomial functions

0 references

On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

10.1007/S00211-024-01431-W

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6644046

A stable local commuting projector and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\mathrm{curl})\) (Q6644046)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)