Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation
type: Item
instance of: scholarly article
title: Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation
zbMATH Open document ID: 1502.65148
author: Lele Wang
author: Xin Liao
author: Huaijun Yang
published in: Boundary Value Problems
publication date: 2022-11-17T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7619602
zbMATH Keywords: Benjamin-Bona-Mahony-Burgers equation
zbMATH Keywords: energy-stable scheme
zbMATH Keywords: unconditional superconvergence analysis
MaRDI profile type: Publication
full work available at URL: s13661-022-01651-9
OpenAlex ID: W4297963030
cites work: A high-order linearized difference scheme preserving dissipation property for the 2D Benjamin-Bona-Mahony-Burgers equation
cites work: Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
cites work: Numerical solution of Burgers' equation with high order splitting methods
cites work: A weak Galerkin finite element method for Burgers' equation
cites work: The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
cites work: A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes
cites work: Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation
cites work: Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
cites work: The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation
cites work: Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation
cites work: Numerical solutions of two dimensional Sobolev and generalized Benjamin-Bona-Mahony-Burgers equations via Haar wavelets
cites work: On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation
cites work: The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
cites work: The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
cites work: Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation
cites work: Asymptotic Analysis and Optimal Error estimates for Benjamin‐Bona‐Mahony‐Burgers' Type Equations
cites work: Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines
cites work: Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation
cites work: Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation
cites work: Superconvergence analysis of a MFEM for BBM equation with a stable scheme
cites work: A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation
cites work: Q4162607
DOI: 10.1186/S13661-022-01651-9
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description: scientific article; zbMATH DE number 7619602