The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems
DOI10.1016/j.apnum.2018.12.007zbMath1456.65178OpenAlexW2904762938WikidataQ128739711 ScholiaQ128739711MaRDI QIDQ1732876
Publication date: 25 March 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.12.007
biharmonic eigenvalue problemstwo-grid discretizationclamped boundary conditionCiarlet-Raviart mixed method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral theory and eigenvalue problems for partial differential equations (35P99) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem
- Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems
- A full multigrid method for eigenvalue problems
- Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem
- A mixed FEM for the quad-curl eigenvalue problem
- A mixed finite element method for the biharmonic eigenvalue problems of plate bending
- Bounds for the \(N\) lowest eigenvalues of fourth-order boundary value problems
- High precision solutions of two fourth order eigenvalue problems
- An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements
- Mixed Methods for the Helmholtz Transmission Eigenvalues
- C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems
- Finite element approximation of eigenvalue problems
- Two-Grid Methods for Maxwell Eigenvalue Problems
- Spectral Methods
- Acceleration of a two-grid method for eigenvalue problems
- Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems
- The Shifted-Inverse Iteration Based on the Multigrid Discretizations for Eigenvalue Problems
- Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems
- Multigrid Methods for Differential Eigenproblems
- A Mixed Finite Element Method for the Biharmonic Equation
- Interior error estimates for a mixed finite element method
- Analysis of Mixed Methods Using Mesh Dependent Norms
- Mixed and Hybrid Finite Element Methods
- A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
- An analysis of the convergence of mixed finite element methods
- A two-grid discretization scheme for eigenvalue problems
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem
- The Ciarlet--Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning
- Spectral Methods
- A multi-level correction scheme for eigenvalue problems
- Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”
This page was built for publication: The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems
