On commuting $p$-version projection-based interpolation on tetrahedra
From MaRDI portal
Publication:5235092
DOI10.1090/mcom/3454zbMath1426.65181arXiv1802.00197OpenAlexW2786766347MaRDI QIDQ5235092
No author found.
Publication date: 7 October 2019
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00197
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items
Local L2-bounded commuting projections in FEEC, Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions, Optimal convergence rates in L2 for a first order system least squares finite element method, Exponential meshes and \(\mathcal{H}\)-matrices, The bubble transform and the de Rham complex, Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes, Error estimates for the scaled boundary finite element method, Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators, Equivalence of local-best and global-best approximations in \(\boldsymbol{H}(\mathrm{curl})\), Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- Mixed finite elements in \(\mathbb{R}^3\)
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- de Rham diagram for \(hp\) finite element spaces
- \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates
- Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- Polynomial extension operators. Part III
- On a inequality of Friedrichs.
- Polynomial extension operators for $H^1$, $\boldsymbol {\mathit {H}}(\mathbf {curl})$ and $\boldsymbol {\mathit {H}}(\mathbf {div})$-spaces on a cube
- Polynomial Extension Operators. Part II
- Optimal Error Estimation for ${\bfH}({\rmcurl})$-Conformingp-Interpolation in Two Dimensions
- Discrete Compactness for thep-Version of Discrete Differential Forms
- Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
- Finite elements in computational electromagnetism
- Explicit polynomial preserving trace liftings on a triangle
- Polynomial Extension Operators. Part I
- L2-Theory of the Maxwell operator in arbitrary domains
- Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
- Finite Element Methods for Maxwell's Equations
- hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation