Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem
DOI10.1137/20M1350753zbMath1477.65209OpenAlexW3208118626MaRDI QIDQ5165443
No author found.
Publication date: 16 November 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1350753
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- Mixed finite elements in \(\mathbb{R}^3\)
- Fully discrete finite element approaches for time-dependent Maxwell's equations
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Singularities of electromagnetic fields in polyhedral domains
- A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem
- An Interior Penalty Method with C0Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity
- Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension
- HexahedralH(div) andH(curl) finite elements
- Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local $L^2$ Projected $C^0$ Finite Element Method
- Analysis of the Scott–Zhang interpolation in the fractional order Sobolev spaces
- A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
- An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
- Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- 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
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
- Vector potentials in three-dimensional non-smooth domains
- Nonconforming elements in least-squares mixed finite element methods
- Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations
- Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law
- A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution
- New Mixed Elements for Maxwell Equations
- The approximation of the Maxwell eigenvalue problem using a least-squares method
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
- Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws
- A viscosity solution method for Shape-From-Shading without image boundary data
- Theoretical analysis of Nedelec's edge elements
This page was built for publication: Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem
