Discrete Compactness for thep-Version of Discrete Differential Forms

DOI10.1137/090772629zbMath1230.78025arXiv0909.5079OpenAlexW2131901603MaRDI QIDQ3091795

Martin Costabel, Monique Dauge, Daniele Boffi, Ralf Hiptmair, Leszek F. Demkowicz

Publication date: 14 September 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.5079

zbMATH Keywords

eigenvalue problemMaxwell equations\(p\)-versiondiscrete compactnessedge elementsdiscrete differential formssmoothed Poincaré lifting

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber, The bubble transform and the de Rham complex, A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets, An \textit{hp}-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem, Solving metamaterial Maxwell's equations via a vector wave integro-differential equation, Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators, The bubble transform: a new tool for analysis of finite element methods, Two new finite element schemes and their analysis for modeling of wave propagation in graphene, Poincaré path integrals for elasticity, On commuting $p$-version projection-based interpolation on tetrahedra