A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type
type: Item
instance of: scholarly article
title: A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type
zbMATH Open document ID: 1504.65261
author: Yanyan Li
published in: Journal of Scientific Computing
publication date: 2022-12-13T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 31A30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7632653
zbMATH Keywords: biharmonic eigenvalue problem
zbMATH Keywords: mixed method
zbMATH Keywords: first-order system
zbMATH Keywords: finite element method
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s10915-022-02024-1
OpenAlex ID: W4307244301
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains
cites work: A high accuracy spectral method based on \(\min\)/\(\max\) principle for biharmonic eigenvalue problems on a spherical domain
cites work: Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems
cites work: Discontinuous Galerkin approximation of the Laplace eigenproblem
cites work: Q3126801
cites work: Norms and exclusion theorems
cites work: A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
cites work: Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes
cites work: Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
cites work: C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems
cites work: On the boundary value problem of the biharmonic operator on domains with angular corners
cites work: Stekloff eigenvalues in inverse scattering
cites work: Eigenvalue approximations by mixed methods
cites work: Guaranteed lower eigenvalue bounds for the biharmonic equation
cites work: Asymptotic expansion and extrapolation for the eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme
cites work: A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
cites work: Morley finite element method for the eigenvalues of the biharmonic operator
cites work: AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
cites work: Spectral approximations by the HDG method
cites work: New development in freefem++
cites work: Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods
cites work: A mixed finite element method for the biharmonic eigenvalue problems of plate bending
cites work: Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods
cites work: On the convergence of a mixed finite-element method for plate bending problems
cites work: New A Priori FEM Error Estimates for Eigenvalues
cites work: A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
cites work: \(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem
cites work: The asymptotic lower bounds of eigenvalue problems by nonconforming finite element methods
cites work: Lower bounds of the discretization error for piecewise polynomials
cites work: A C0 virtual element method for the biharmonic eigenvalue problem
cites work: The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem
cites work: Eigenvalue Approximation by Mixed and Hybrid Methods
cites work: A piecewise linear finite element method for the buckling and the vibration problems of thin plates
cites work: Nonconforming finite element methods for eigenvalue problems in linear plate theory
cites work: Numerical Methods for Electronic Structure Calculations of Materials
cites work: Q5722857
cites work: A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems
cites work: Eigenvalue approximations from below using Morley elements
cites work: Non-conforming finite element methods for transmission eigenvalue problem
cites work: A multi-level mixed element method for the eigenvalue problem of biharmonic equation
cites work: The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems
DOI: 10.1007/S10915-022-02024-1
description: scientific article; zbMATH DE number 7632653