A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems
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Publication:2015278
DOI10.1155/2013/262010zbMath1291.65332OpenAlexW2121622548WikidataQ58915712 ScholiaQ58915712MaRDI QIDQ2015278
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/262010
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
- Unnamed Item
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- Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem
- A two-scale discretization scheme for mixed variational formulation of eigenvalue problems
- An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
- An adaptive homotopy approach for non-selfadjoint eigenvalue problems
- A posteriori error estimators for convection-diffusion eigenvalue problems
- Generalized Rayleigh quotient and finite element two-grid discretization schemes
- Error estimates for the combined h and p versions of the finite element method
- 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
- Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field
- A two-level method for nonsymmetric eigenvalue problems
- Function Value Recovery and Its Application in Eigenvalue Problems
- Spectral Methods
- Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A Convergent Adaptive Method for Elliptic Eigenvalue Problems
- Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems
- Spectral Methods
- hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
- A posteriori error control for finite element approximations of elliptic eigenvalue problems
- On residual-based a posteriori error estimation in hp-FEM
