A three-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities

DOI10.1016/j.cma.2012.05.013zbMath1348.78025OpenAlexW2044336954MaRDI QIDQ337885

Luis E. Garcia-Castillo, Ignacio Gomez-Revuelto, David Pardo, Sergio Llorente-Romano

Publication date: 3 November 2016

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.2012.05.013

zbMATH Keywords

finite element method\(hp\)-adaptivityenergy-normrectangular waveguidesS-parameterswaveguide discontinuities

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) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items

Self-adaptive \(hp\) finite element method with iterative mesh truncation technique accelerated with adaptive cross approximation, A painless multi-level automatic goal-oriented \(hp\)-adaptive coarsening strategy for elliptic and non-elliptic problems

Uses Software

• par2Dhp

Cites Work

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• Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
• 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
• Approximation properties of the \(h\)-\(p\) version of the finite element method
• An adaptive refinement strategy for \(hp\)-finite element computations
• 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
• A goal-oriented \(hp\)-adaptive finite element approach to radar scattering problems
• The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
• The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• Fully automatic \(hp\)-adaptivity in three dimensions
• Toward \(hp\)-adaptive solution of 3D electromagnetic scattering from cavities
• Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package
• A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
• Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
• An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
• p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
• ROBUST NUMERICAL METHODS FOR TRANSONIC FLOWS
• Finite Element Methods for Maxwell's Equations
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Dispersive properties of high–order Nédélec/edge element approximation of the time–harmonic Maxwell equations
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• An hp‐adaptive finite element method for scattering problems in computational electromagnetics