Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator

DOI10.1016/j.camwa.2023.03.004arXiv2202.10350MaRDI QIDQ6161531

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Publication date: 5 June 2023

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

Full work available at URL: https://arxiv.org/abs/2202.10350

zbMATH Keywords

weak solutionmixed finite element methodnumerical simulationsbeam equationconvergence order\(p(x)\)-biharmonic operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Boundary value problems for nonlinear higher-order PDEs (35G30) Variational methods for higher-order elliptic equations (35J35)

Cites Work

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• On the spectrum of a fourth order elliptic equation with variable exponent
• On a class of boundary value problems involving the \(p\)-biharmonic operator
• On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition
• On a \(p(x)\)-biharmonic problem with Navier boundary condition
• On a \(p(x)\)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition
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• Multiple solutions for a nonlocal elliptic problem involving \((p(x), q(x))\)-biharmonic operator
• Fourth-order partial differential equations for noise removal
• EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Finite Element Approximation of the Parabolic p-Laplacian
• On a hinged plate equation of nonconstant thickness
• On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions
• On a class of a boundary value problems involving the p(x)-Biharmonic operator
• Evolution PDEs with Nonstandard Growth Conditions
• EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• The Mathematical Theory of Finite Element Methods
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Galerkin Finite Element Methods for Parabolic Problems
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