The a posteriori error estimates of the Ciarlet-Raviart mixed finite element method for the biharmonic eigenvalue problem

The a posteriori error estimates of the Ciarlet-Raviart mixed finite element method for the biharmonic eigenvalue problem

The biharmonic equation/eigenvalue problem is one of the fundamental model problems in mathematics and physics and has wide applications. In this paper, for the biharmonic eigenvalue problem, based on the work of Gudi [<i>Numer. Methods Partial Differ. Equ.</i>, <b>27</b> (20...

Full description

Bibliographic Details
Main Authors:	Jinhua Feng, Shixi Wang, Hai Bi, Yidu Yang
Format:	Article
Language:	English
Published:	AIMS Press 2024-01-01
Series:	AIMS Mathematics
Subjects:	the biharmonic eigenvalue ciarlet-raviart mixed method conforming finite element a posteriori error estimator adaptive algorithm
Online Access:	https://aimspress.com/article/doi/10.3934/math.2024163?viewType=HTML

Similar Items

Guaranteed Lower Bounds for the Elastic Eigenvalues by Using the Nonconforming Crouzeix–Raviart Finite Element
by: Xuqing Zhang, et al.
Published: (2020-07-01)

Adaptive Morley element algorithms for the biharmonic eigenvalue problem
by: Hao Li, et al.
Published: (2018-03-01)

A posteriori error estimates of mixed discontinuous Galerkin method for a class of Stokes eigenvalue problems
by: Lingling Sun, et al.
Published: (2023-07-01)

A comparison of adaptive algorithms for solving plane problems in the linear elasticity theory using the zero- and first-order Raviart – Thomas elements
by: Petukhov Dmitrii, et al.
Published: (2024-12-01)

The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
by: Liuwei Zhang, et al.
Published: (2016-01-01)

Eigenvalue of (<i>p</i>,<i>q</i>)-Biharmonic System along the Ricci Flow
by: Lixu Yan, et al.
Published: (2024-05-01)

Global bifurcation result for the p-biharmonic operator
by: Pavel Drabek, et al.
Published: (2001-07-01)

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations
by: Zhendong Luo
Published: (2016-02-01)

The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
by: Zhang Yu, et al.
Published: (2020-05-01)

Connected components of positive solutions of biharmonic equations with the clamped plate conditions in two dimensions
by: Ruyun Ma, et al.
Published: (2021-11-01)

Success and failure of attempts to improve the accuracy of Raviart–Thomas mixed finite elements in curved domains
by: Vitoriano Ruas
Published: (2022-11-01)

Semiclassical bounds for spectra of biharmonic operators
by: Davide Buoso, et al.
Published: (2022-06-01)

Some results of the f-biharmonic maps and applications
by: Djelloul Djebbouri, et al.
Published: (2018-01-01)

Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry
by: P. J. McKenna, et al.
Published: (2003-04-01)

A partially penalty immersed Crouzeix-Raviart finite element method for interface problems
by: Na An, et al.
Published: (2017-08-01)

A Hybridized Crouziex-Raviart Nonconforming Finite Element and Discontinuous Galerkin Method for a Two-Phase Flow in the Porous Media
by: M. Jamei, et al.
Published: (2020-02-01)

Characterization of Biharmonic Hypersurface
by: S.K. Srivastava, et al.
Published: (2022-12-01)

A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures
by: Junhong Yue, et al.
Published: (2023-02-01)

<i>f</i>-Biharmonic Submanifolds in Space Forms and <i>f</i>-Biharmonic Riemannian Submersions from 3-Manifolds
by: Ze-Ping Wang, et al.
Published: (2024-04-01)

Finite superelements method for biharmonic equation
by: Mikhail Galanin, et al.
Published: (2007-09-01)

Biharmonic curves on a surface
by: R. Caddeo, et al.
Published: (2001-01-01)

Uniform approximation of continuous functions on compact sets by biharmonic and bisuperharmonic functions in a biharmonic space
by: Mohamed El Kadiri
Published: (2009-01-01)

Surfaces with a family of nongeodesic biharmonic curves
by: J. Monterde
Published: (2008-01-01)

The Existence and Uniqueness of Radial Solutions for Biharmonic Elliptic Equations in an Annulus
by: Yongxiang Li, et al.
Published: (2024-06-01)

Estimates for eigenvalues of the Neumann and Steklov problems
by: Du Feng, et al.
Published: (2023-07-01)

$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$
by: Firooz Pashaie, et al.
Published: (2017-01-01)

Weak compactness of biharmonic maps
by: Shenzhou Zheng
Published: (2012-10-01)

Picone's identity for the p-biharmonic operator with applications
by: Jaroslav Jaros
Published: (2011-09-01)

Biharmonic Green functions
by: Heinrich Begehr
Published: (2006-11-01)

Knot optimization for biharmonic B-splines on manifold triangle meshes
by: Hou, Fei, et al.
Published: (2018)

An overdetermined problem of the biharmonic operator on Riemannian manifolds
by: Fan Chen, et al.
Published: (2023-02-01)

Existence of solution for a class of biharmonic equations
by: Najib Tsouli, et al.
Published: (2014-01-01)

Graph-type biharmonic surfaces in R3
by: Carlos M. C. Riveros, et al.
Published: (2020-07-01)

Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential
by: Khalil Abdelouahed El, et al.
Published: (2019-11-01)

New results toward the classification of biharmonic submanifolds in 𝕊n
Published: (2012-06-01)

Liouville's theorem and the restricted mean property for Biharmonic Functions
by: Mohamed El Kadiri
Published: (2004-04-01)

A Morley Type Triangular Finite Element with High Convergence for the Biharmonic Problem
by: Yuan Bao, et al.
Published: (2024-10-01)

The biharmonic index of connected graphs
by: Zhen Lin
Published: (2022-01-01)

A posteriori error estimation for model order reduction of parametric systems
by: Lihong Feng, et al.
Published: (2024-03-01)

Boundary-value problems for the biharmonic equation with a linear parameter
by: Yakov Yakubov
Published: (2002-06-01)