A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids
DOI10.1016/j.jcp.2004.10.030zbMath1073.78010OpenAlexW2050338864MaRDI QIDQ1775789
Robert N. Rieben, Garry H. Rodrigue, Daniel A. White
Publication date: 4 May 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1410432/
Maxwell's equationscomputational electromagneticsdiscrete differential formsnumerical dispersionhigh order methodsspurious modesvector finite elementsconforming methodsH(Curl) and H(Div)
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)
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Cites Work
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- A mixed finite element formulation for Maxwell's equations in the time domain
- A symplectic integration algorithm for separable Hamiltonian functions
- Mixed finite elements in \(\mathbb{R}^3\)
- A perfectly matched layer for the absorption of electromagnetic waves
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Divergence preserving discrete surface integral methods for Maxwell's curl equations using non-orthogonal unstructured grids
- A Vector Finite Element Time-Domain Method for Solving Maxwell's Equations on Unstructured Hexahedral Grids
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- A Mixed Method for Approximating Maxwell’s Equations
- Canonical construction of finite elements
- A Dispersion Analysis of Finite Element Methods for Maxwell’s Equations
- 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
- An investigation of numerical dispersion in the vector finite element method using quadrilateral elements
- High-Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations
- Improved Conditioning of Finite Element Matrices Using New High-Order Interpolatory Bases
- Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes