An efficient finite element method and error analysis for fourth order problems in a spherical domain
type: Item
instance of: scholarly article
title: An efficient finite element method and error analysis for fourth order problems in a spherical domain
zbMATH Open document ID: 1501.65124
author: Na Peng
author: Jing An
author: Jiayu Han
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-09-30T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 35J30
zbMATH DE Number: 7595620
zbMATH Keywords: fourth-order problems
zbMATH Keywords: dimension reduction scheme
zbMATH Keywords: finite element method
zbMATH Keywords: error estimation
zbMATH Keywords: spherical domain
MaRDI profile type: Publication
full work available at URL: dcdsb.2022021
OpenAlex ID: W4213342016
cites work: Analysis of Mixed Methods Using Mesh Dependent Norms
cites work: A mixed finite element method for fourth order elliptic equations with variable coefficients
cites work: A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
cites work: Anisotropic conforming rectangular elements for elliptic problems of any order
cites work: Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
cites work: Spectral method on quadrilaterals
cites work: Error analysis of spectral method on a triangle
cites work: Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems
cites work: Convergence and optimality of the adaptive Morley element method
cites work: Vibration analysis of Kirchhoff plates by the Morley element method
cites work: Some studies on mathematical models for general elastic multi-structures
cites work: Finite element analysis for general elastic multi-structures
cites work: Radial Entire Solutions of Even Order Semilinear Elliptic Equations
cites work: Q4082392
cites work: New error estimates of the Morley element for the plate bending problems
cites work: Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations
cites work: Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
cites work: Q3585692
cites work: Existence and concentration of solutions for a class of biharmonic equations
cites work: Spectral Methods
cites work: Multiple and sign-changing solutions for a class of semilinear biharmonic equation
cites work: Using p-Refinement to Increase Boundary Derivative Convergence Rates
DOI: 10.3934/DCDSB.2022021
description: scientific article; zbMATH DE number 7595620