A new mixed method for the biharmonic eigenvalue problem

DOI10.1016/j.camwa.2023.01.038OpenAlexW4320080406MaRDI QIDQ2697800

Sven Beuchler, V. Kosin, Thomas Wick

Publication date: 13 April 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.038

zbMATH Keywords

finite elementseigenvalue problembiharmonic equationmixed method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (1)

A comparison of smooth basis constructions for isogeometric analysis

Uses Software

• deal.ii
• ARPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator
• High precision solutions of two fourth order eigenvalue problems
• On a new mixed formulation of Kirchhoff plates on curvilinear polygonal domains
• Guaranteed lower eigenvalue bounds for the biharmonic equation
• The \texttt{deal.II} library, Version 9.3
• Finite Element Methods for Eigenvalue Problems
• C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems
• C 0 Interior Penalty Methods
• Morley finite element method for the eigenvalues of the biharmonic operator
• On the boundary value problem of the biharmonic operator on domains with angular corners
• Eigenvalue Approximation by Mixed and Hybrid Methods
• ARPACK Users' Guide
• Templates for the Solution of Algebraic Eigenvalue Problems
• A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach
• Isogeometric Analysis
• Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• The Ciarlet--Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning
• Comparison Results of NonstandardP₂Finite Element Methods for the Biharmonic Problem
• Finite elements. Theory, fast solvers and applications in elasticity theory

This page was built for publication: A new mixed method for the biharmonic eigenvalue problem