Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field

DOI10.1155/2012/529498zbMath1264.78040OpenAlexW1986975314WikidataQ58911990 ScholiaQ58911990MaRDI QIDQ1954873

Jie Liu, Yidu Yang, Yu Zhang

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/529498

Mathematics Subject Classification ID

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Electro- and magnetostatics (78A30)

Related Items (2)

The Shifted-Inverse Iteration Based on the Multigrid Discretizations for Eigenvalue Problems ⋮ A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems

Cites Work

• Unnamed Item
• Unnamed Item
• A two-scale discretization scheme for mixed variational formulation of eigenvalue problems
• Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
• Local and parallel finite element algorithms for the Stokes problem
• Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
• Augmented formulations for solving Maxwell equations
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Multigrid discretization and iterative algorithm for mixed variational formulation of the eigenvalue problem of electric field
• Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem
• Computing electromagnetic eigenmodes with continuous Galerkin approximations
• Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems
• A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A two-grid discretization scheme for eigenvalue problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems

This page was built for publication: Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field