Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators.
DOI10.1007/s10492-014-0062-6zbMath1340.65256OpenAlexW2038782724MaRDI QIDQ464718
Milena Racheva, Andrey Andreev
Publication date: 29 October 2014
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/143870
eigenvalue problemnumerical experimentsplate bendingtwo-sided boundslower boundpostprocessingconforming finite element methodnonconforming finite element methodfourth-order problems
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Estimates of eigenvalues in context of PDEs (35P15) 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)
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- Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems
- Asymptotic lower bounds for the fundamental frequency of convex membranes
- New expansions of numerical eigenvalues by finite elements
- Direct and inverse error estimates for finite elements with mesh refinements
- Nonconforming finite element methods for eigenvalue problems in linear plate theory
- Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
- Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods
- Eigenvalue approximation from below using non-conforming finite elements
- Lower bounds of the discretization error for piecewise polynomials
- New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements
- Lower Bounds for Eigenvalues by Nonconforming FEM on Convex Domain
- Simple nonconforming quadrilateral Stokes element
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- A two-grid discretization scheme for eigenvalue problems
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Superconvergence Postprocessing for Eigenvalues
- Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
- Lower bounds for eigenvalues and postprocessing by an integral type nonconforming FEM
- A posteriori error estimations of some cell-centered finite volume methods
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