Quasioptimality of some spectral mixed methods

DOI10.1016/j.cam.2003.10.001zbMath1051.78020OpenAlexW2116663540MaRDI QIDQ1877131

Jayadeep Gopalakrishnan, Leszek F. Demkowicz

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.10.001

zbMATH Keywords

Maxwell equationsright inversespectral methodsmixed methodsPoincaré lemmaRaviart-Thomas method

Mathematics Subject Classification ID

Related Items (8)

Polynomial extension operators. Part III ⋮ Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems ⋮ Treatment of domain integrals in boundary element methods ⋮ Nonconforming finite element Stokes complexes in three dimensions ⋮ On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains ⋮ \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates ⋮ Polynomial extension operators for $H^1$, $\boldsymbol {\mathit {H}}(\mathbf {curl})$ and $\boldsymbol {\mathit {H}}(\mathbf {div})$-spaces on a cube ⋮ A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
• Mixed finite elements in \(\mathbb{R}^3\)
• On the \(p\)- and \(hp\)-extension of Nédélec's curl-conforming elements
• A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
• On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
• Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Canonical construction of finite elements
• Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
• p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

This page was built for publication: Quasioptimality of some spectral mixed methods