A Bochev‐Dohrmann‐Gunzburger stabilized method for Maxwell eigenproblem
DOI10.1002/NUM.23026MaRDI QIDQ6088176
Can Wang, Huo-Yuan Duan, Zhijie Du, Qiuyu Zhang
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
mixed finite element methodedge elementMaxwell eigenproblemBabuška-Osborn spectral theoryBochev-Dohrmann-Gunzburger stabilization
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) de Rham theory in global analysis (58A12) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
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- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- Mixed finite elements in \(\mathbb{R}^3\)
- Singularities of electromagnetic fields in polyhedral domains
- Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements
- 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
- Discrete Compactness for the hp Version of Rectangular Edge Finite Elements
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Finite Element Methods for Navier-Stokes Equations
- Vector potentials in three-dimensional non-smooth domains
- Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations
- Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem
- The Mathematical Theory of Finite Element Methods
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
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