Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation

DOI10.1016/j.camwa.2023.11.041OpenAlexW4389426186MaRDI QIDQ6184727

Xu Jia, Huaijun Yang

Publication date: 5 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.11.041

zbMATH Keywords

damped Boussinesq equationCiarlet-Raviart mixed finite element methodsuperclose and superconvergence error estimates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy-preserving finite volume element method for the improved Boussinesq equation
• Analysis of mixed finite element methods for fourth-order wave equations
• Ciarlet-Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equation
• A mixed finite element method for fourth order elliptic equations with variable coefficients
• A mixed finite element method for fourth order eigenvalue problems
• Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
• Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity
• Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation
• Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation
• Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed bi-wave problem modeling \(d\)-wave superconductors
• Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
• Mixed finite element methods for a fourth order reaction diffusion equation
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• A mixed method for 4th order problems using linear finite elements
• Analysis of expanded mixed methods for fourth-order elliptic problems
• A numerical method based on extended Raviart–Thomas (ER‐T) mixed finite element method for solving damped Boussinesq equation
• Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
• Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation
• A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics
• Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems
• Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems
• Galerkin Finite Element Methods for Parabolic Problems