A predictor-corrector finite element method for time-harmonic Maxwell's equations in polygonal domains
From MaRDI portal
Publication:6534786
DOI10.1155/2020/3502513zbMATH Open1544.78007MaRDI QIDQ6534786
Boniface Nkemzi, Jake Léonard Nkeck
Publication date: 18 May 2021
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
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) Electromagnetic theory (general) (78A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell's equations in nonsmooth axisymmetric domains
- Mixed finite elements in \(\mathbb{R}^3\)
- On finite element methods for elliptic equations on domains with corners
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
- Mathematical foundations of computational electromagnetism
- On the coefficients of the singularities of the solution of Maxwell's equations near polyhedral edges
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Singularities of electromagnetic fields in polyhedral domains
- Predictor-corrector \(p\)- and \(h p\)-versions of the finite element method for Poisson's equation in polygonal domains
- Numerical simulation of corner singularities: a paradox in Maxwell-like problems
- A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
- Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
- The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem
- Finite Element Methods for Navier-Stokes Equations
- Singularities of Maxwell interface problems
- Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
- Maxwell and Lamé eigenvalues on polyhedra
- A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
- Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
- On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
- A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
- Finite Element Methods for Maxwell's Equations
- A Least-Squares Finite Element Method for the Magnetostatic Problem in A Multiply Connected Lipschitz Domain
- On the solution of Maxwell's equations in polygonal domains
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Finite elements. Theory, fast solvers and applications in elasticity theory
Related Items (1)
This page was built for publication: A predictor-corrector finite element method for time-harmonic Maxwell's equations in polygonal domains