Frequency and time domain electromagnetic scattering simulations employing higher order edge elements
From MaRDI portal
Publication:1777097
DOI10.1016/j.cma.2004.05.011zbMath1063.78006OpenAlexW1965725496MaRDI QIDQ1777097
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.2004.05.011
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items
A unified approach for a posteriori high-order curved mesh generation using solid mechanics ⋮ Isogeometric high order mesh generation ⋮ The application of the \(hp\)-finite element method to electromagnetic problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- Mixed finite elements in \(\mathbb{R}^3\)
- A perfectly matched layer for the absorption of electromagnetic waves
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- A two-dimensional infinite element for Maxwell's equations
- Evidence of exponential convergence in the computation of Maxwell eigenvalues
- Maintaining convergence properties of BiCGStab methods in finite precision arithmetic
- Reliable updated residuals in hybrid Bi-CG methods
- Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- Computation of resonant modes for axisymmetric Maxwell cavities usinghp-version edge finite elements
- An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
- Conditioning of Hierarchic p-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra
- Anhp-adaptive finite element method for electromagnetics. Part 3: A three-dimensional infinite element for Maxwell's equations
- Hierarchic finite element bases on unstructured tetrahedral meshes
- Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
- Spurious fields in time-domain computations of scattering problems
- An investigation of numerical dispersion in the vector finite element method using quadrilateral elements
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
- Arbitrary order edge elements for electromagnetic scattering simulations using hybrid meshes and a PML
- Finite Element Methods for Maxwell's Equations
- Dispersive properties of high–order Nédélec/edge element approximation of the time–harmonic Maxwell equations
- The automatic integration of ordinary differential equations
- Diffraction Theory of Electromagnetic Waves
- Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes
