Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes

DOI10.1016/j.rinam.2024.100480MaRDI QIDQ6618279

Kaibo Hu, Jiguang Sun, Qian Zhang

Publication date: 14 October 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lagrange finite elementmixed Laplace eigenvalue problembounded commuting projectionsfortin interpolation

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Basic methods for problems in optics and electromagnetic theory (78Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Unnamed Item
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• Finite element approximation of the spectrum of the curl operator in a multiply connected domain
• Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems
• Analysis of the Scott–Zhang interpolation in the fractional order Sobolev spaces
• Finite element approximation of eigenvalue problems
• Finite element exterior calculus, homological techniques, and applications
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Spline Functions on Triangulations
• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
• Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
• Hermite interpolation of nonsmooth functions preserving boundary conditions
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• Finite Element Methods for Maxwell's Equations
• Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions

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