An efficient finite element method and error analysis for fourth order problems in a spherical domain
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Publication:2081959
DOI10.3934/dcdsb.2022021zbMath1501.65124OpenAlexW4213342016MaRDI QIDQ2081959
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022021
finite element methoderror estimationspherical domainfourth-order problemsdimension reduction scheme
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Higher-order elliptic equations (35J30)
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and concentration of solutions for a class of biharmonic equations
- Convergence and optimality of the adaptive Morley element method
- Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
- A mixed finite element method for fourth order elliptic equations with variable coefficients
- Finite element analysis for general elastic multi-structures
- Error analysis of spectral method on a triangle
- Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
- Anisotropic conforming rectangular elements for elliptic problems of any order
- Multiple and sign-changing solutions for a class of semilinear biharmonic equation
- New error estimates of the Morley element for the plate bending problems
- Vibration analysis of Kirchhoff plates by the Morley element method
- Some studies on mathematical models for general elastic multi-structures
- A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem
- Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations
- Spectral Methods
- Spectral method on quadrilaterals
- Radial Entire Solutions of Even Order Semilinear Elliptic Equations
- Analysis of Mixed Methods Using Mesh Dependent Norms
- Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems
- Using p-Refinement to Increase Boundary Derivative Convergence Rates
