A Hessian recovery-based finite difference method for biharmonic problems

DOI10.1016/j.aml.2022.108503OpenAlexW4309634889MaRDI QIDQ2106139

Chungang Shi, Min-Qiang Xu

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108503

zbMATH Keywords

superconvergencebiharmonic problemsghost points methodHessian recovery technique

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

An efficient numerical algorithm for solving nonlinear Volterra integral equations in the reproducing kernel space ⋮ Gradient recovery based finite element methods for the two-dimensional quad-curl problem ⋮ A new recovery based \(C^0\) element method for fourth-order equations ⋮ A REPRODUCING KERNEL METHOD FOR SOLVING SINGULARLY PERTURBED DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Cites Work

• Mixed discontinuous Galerkin finite element method for the biharmonic 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
• Recovery based finite difference scheme on unstructured mesh
• A new reproducing kernel-based collocation method with optimal convergence rate for some classes of BVPs
• 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
• The Morley element for fourth order elliptic equations in any dimensions
• Hessian recovery for finite element methods
• A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
• Parametric Polynomial Preserving Recovery on Manifolds
• Recovery Based Finite Element Method for Biharmonic Equation in 2D
• A New Finite Element Gradient Recovery Method: Superconvergence Property

This page was built for publication: A Hessian recovery-based finite difference method for biharmonic problems