A NONCONFORMING MIXED FINITE ELEMENT METHOD FOR MAXWELL'S EQUATIONS

DOI10.1142/S021820250000032XzbMath1010.78013OpenAlexW2041508619MaRDI QIDQ4798808

Dongwoo Sheen, Jim jun. Douglas, Juan Enrique Santos

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820250000032x

zbMATH Keywords

convergencetime-harmonic Maxwell's equationsnonconforming mixed finite element schemedirect problem in magnetotellurics

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)

Related Items (10)

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO MAXWELL'S EQUATIONS IN BOUNDED DOMAINS WITH APPLICATION TO MAGNETOTELLURICS ⋮ Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model ⋮ Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell's equations ⋮ Asymptotic expansion analysis of nonconforming mixed finite element methods for time-dependent Maxwell's equations in Debye medium ⋮ A family of optimal Lagrange elements for Maxwell's equations ⋮ Nonconforming finite element approximation of time‐dependent Maxwell's equations in Debye medium ⋮ P1-nonconforming quadrilateral finite element for topology optimization ⋮ Finite element approximation of coupled seismic and electromagnetic waves in fluid-saturated poroviscoelastic media ⋮ Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations ⋮ Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell's equations in dispersive media

Cites Work

• Mixed finite elements in \(\mathbb{R}^3\)
• A generalized Green's theorem
• A finite element method for approximating the time-harmonic Maxwell equations
• A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
• An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• A Mixed Method for Approximating Maxwell’s Equations
• A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
• Absorbing boundary conditions for electromagnetic wave propagation
• Global and domain-decomposed mixed methods for the solution of Maxwell's equations with application to magnetotellurics
• A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
• Approximation of Electromagnetic Fields: Part I. Continuous Problems
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO MAXWELL'S EQUATIONS IN BOUNDED DOMAINS WITH APPLICATION TO MAGNETOTELLURICS

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