Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element
From MaRDI portal
Publication:5221032
DOI10.1137/19M1261997zbMath1432.65168arXiv1905.08243OpenAlexW3013926739MaRDI QIDQ5221032
Publication date: 27 March 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08243
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 (2)
New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element ⋮ Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods
- Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods
- Gradient recovery for the Crouzeix-Raviart element
- The superconvergent cluster recovery method
- A posteriori error analysis of nonconforming methods for the eigenvalue problem
- Nonconforming finite element methods for eigenvalue problems in linear plate theory
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- A high accuracy post-processing algorithm for the eigenvalues of elliptic operators
- A unifying theory of a posteriori error control for nonconforming finite element methods
- A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
- A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity
- Superconvergence of quadratic finite elements on mildly structured grids
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A‐posteriori error estimates for the finite element method
- A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
- Validation of a posteriori error estimators by numerical approach
- A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
- Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable
- Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements
- Enhancing Eigenvalue Approximation by Gradient Recovery
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
- Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
- Superconvergence of both the Crouzeix-Raviart and Morley elements
This page was built for publication: Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element
