Virtual elements for Maxwell's equations
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Publication:2147274
DOI10.1016/j.camwa.2021.08.019zbMath1493.65191arXiv2102.00950OpenAlexW3197926616MaRDI QIDQ2147274
Lorenzo Mascotto, Franco Dassi, Lourenco Beirão da Veiga, Gianmarco Manzini
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00950
Error bounds for boundary value problems involving PDEs (65N15) 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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- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- Equivalent projectors for virtual element methods
- BOR-FDTD subgridding based on finite element principles
- The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
- Mixed finite elements in \(\mathbb{R}^3\)
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- On a finite-element method for solving the three-dimensional Maxwell equations
- High-order virtual element method on polyhedral meshes
- The virtual element method for resistive magnetohydrodynamics
- Virtual element approximation of 2D magnetostatic problems
- Lowest order virtual element approximation of magnetostatic problems
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- Basic principles of mixed Virtual Element Methods
- Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra
- A Mixed Method for Approximating Maxwell’s Equations
- Vector potentials in three-dimensional non-smooth domains
- Electromagnetic scattering from axially inhomogeneous bodies of revolution
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics
- Finite Element Methods for Maxwell's Equations
- Analysis of finite element approximation for time-dependent Maxwell problems
- Time-discrete finite element schemes for Maxwell's equations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- A Three-Dimensional Hybrid High-Order Method for Magnetostatics
- A virtual element method for the Steklov eigenvalue problem
- Mathematical Models and Numerical Simulation in Electromagnetism
