A posteriori error estimates for non-conforming approximation of eigenvalue problems

DOI10.1016/j.apnum.2012.01.005zbMath1242.65221OpenAlexW2049014889MaRDI QIDQ413630

Enzo A. Dari, Claudio Padra, Ricardo G. Durán

Publication date: 7 May 2012

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

Full work available at URL: http://hdl.handle.net/11336/19935

zbMATH Keywords

numerical exampleseigenvalue problemsLaplaciana posteriori error estimatorsnon-conforming finite elements

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (12)

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework ⋮ Guaranteed lower bounds for eigenvalues ⋮ Immersed finite element method for eigenvalue problem ⋮ Fully computable a posteriori error bounds for eigenfunctions ⋮ A posteriori error analysis of the hybrid high-order method for the Stokes problem ⋮ A posteriori error analysis for nonconforming approximation of multiple eigenvalues ⋮ Projection-based guaranteed \(L^2\) error bounds for finite element approximations of Laplace eigenfunctions ⋮ A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems ⋮ A new nonconforming mixed finite element scheme for second order eigenvalue problem ⋮ Nonconforming finite element analysis for Poisson eigenvalue problem ⋮ Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems ⋮ A posterior error estimator and lower bound of a nonconforming finite element method

Cites Work

• Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
• Sharp estimates for the Green function in Lipschitz domains
• Error estimators for a mixed method
• A posteriori error estimate for the mixed finite element method
• Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• A posteriori error estimators for nonconforming finite element methods
• Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
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