A new recovery based \(C^0\) element method for fourth-order equations

DOI10.1016/j.aml.2023.108858MaRDI QIDQ6066881

Yun-Tao Jia, Yuanquan Cui, Jing Niu, Jinrui Zhang

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

superconvergenceCahn-Hilliard equationsbiharmonic problemsHessian recovery technique

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• On large time-stepping methods for the Cahn-Hilliard equation
• A \(C^0\) linear finite element method for biharmonic problems
• A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation
• An efficient method based on least-squares technique for interface problems
• A Hessian recovery-based finite difference method for biharmonic problems
• Hessian recovery based finite element methods for the Cahn-Hilliard equation
• A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems
• Hessian recovery for finite element methods
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• Recovery Based Finite Element Method for Biharmonic Equation in 2D
• A New Finite Element Gradient Recovery Method: Superconvergence Property
• The Mathematical Theory of Finite Element Methods
• Gradient recovery based finite element methods for the two-dimensional quad-curl problem
• Analysis of the MAC scheme for the three dimensional Stokes problem

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