Spurious solutions in mixed finite element method for Maxwell's equations: dispersion analysis and new basis functions

DOI10.1016/j.jcp.2011.05.035zbMath1230.78033OpenAlexW1971562671MaRDI QIDQ655051

Jiefu Chen, Qing Huo Liu, Luis E. Tobón

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.05.035

zbMATH Keywords

mixed finite element methodspurious solutionsdispersion analysis

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

A partially staggered discontinuous Galerkin method for transient electromagnetics

Cites Work

• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Dispersion analysis of spectral element methods for elastic wave propagation
• Elimination of spurious modes in finite element analysis
• Analysis of spurious oscillation modes for the shallow water and Navier- Stokes equations
• Mixed finite elements in \(\mathbb{R}^3\)
• Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides
• The origin of spurious solutions in computational electromagnetics
• A STUDY OF HIGHER-ORDER DISCONTINUOUS GALERKIN AND QUADRATIC LEAST-SQUARES STABILIZED FINITE ELEMENT COMPUTATIONS FOR ACOUSTICS
• Finite Element Methods for Maxwell's Equations
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