Fully automatic \(hp\)-adaptivity for Maxwell's equations

DOI10.1016/j.cma.2004.05.023zbMath1063.78019OpenAlexW2009699146MaRDI QIDQ1777137

Leszek F. Demkowicz

Publication date: 12 May 2005

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2004.05.023

zbMATH Keywords

\(hp\)-adaptivity\(hp\) edge finite elements

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electromagnetic theory (general) (78A25)

Related Items

HDG-NEFEM with degree adaptivity for Stokes flows, Analysis of a time-domain finite element method for 3-D Maxwell's equations in dispersive media, Fully automatic \(hp\)-adaptivity in three dimensions, Finite element analysis for wave propagation in double negative metamaterials, Numerical simulation of borehole acoustic logging in the frequency and time domains with \(hp\)-adaptive finite elements, Error analysis of mixed finite element methods for wave propagation in double negative metamaterials, \(hp\)-finite element discretisation of the electrical impedance tomography problem, Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package, \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates, Superconvergence analysis for Maxwell's equations in dispersive media, A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions, A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity

Uses Software

• 2Dhp90

Cites Work

• Unnamed Item
• de Rham diagram for \(hp\) finite element spaces
• A fully automatic \(hp\)-adaptivity
• A goal-oriented \(hp\)-adaptive finite element approach to radar scattering problems
• Adaptive multilevel methods for edge element discretizations of Maxwell's equations
• Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
• p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions