Mixed finite elements for electromagnetic analysis

DOI10.1016/j.camwa.2014.08.006zbMath1362.35296OpenAlexW2041509068MaRDI QIDQ2397227

Arup Kumar Nandy, Chandrashekhar Jog

Publication date: 30 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.08.006

zbMATH Keywords

Maxwell equationsmixed finite element formulationspurious modesnodal finite elements

Mathematics Subject Classification ID

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) Maxwell equations (35Q61)

Related Items (4)

A monolithic finite-element formulation for magnetohydrodynamics ⋮ Hellinger-Reissner principle based stress-displacement formulation for three-dimensional isogeometric analysis in linear elasticity ⋮ A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems ⋮ An amplitude finite element formulation for electromagnetic radiation and scattering

Cites Work

• Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
• Mixed finite elements in \(\mathbb{R}^3\)
• Augmented formulations for solving Maxwell equations
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local $L^2$ Projected $C^0$ Finite Element Method
• Finite element approximation of eigenvalue problems
• Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
• Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
• Nodal-based finite-element modeling of Maxwell's equations
• Mixed Finite Element Methods and Applications
• The approximation of the Maxwell eigenvalue problem using a least-squares method

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