Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM
type: Item
instance of: scholarly article
title: Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM
zbMATH Open document ID: 1437.65148
author: Junjun Wang
published in: Applied Numerical Mathematics
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7188157
zbMATH Keywords: nonlinear reaction-diffusion equation
zbMATH Keywords: energy stable scheme
zbMATH Keywords: BDF mixed FEM
zbMATH Keywords: unconditional superconvergent results
MaRDI profile type: Publication
full work available at URL: j.apnum.2020.03.007
OpenAlex ID: W3011443989
cites work: Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
cites work: A second-order BDF compact difference scheme for fractional-order Volterra equation
cites work: Q3071318
cites work: A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
cites work: An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
cites work: An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
cites work: Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
cites work: Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
cites work: Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
cites work: Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations
cites work: Numerical long-time energy conservation for the nonlinear Schrödinger equation
cites work: Q3525855
cites work: A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
cites work: Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
cites work: Q4002473
cites work: Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media
cites work: Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
cites work: A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
cites work: Galerkin finite element method for nonlinear fractional Schrödinger equations
cites work: A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
cites work: Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation
cites work: Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains
cites work: A two-grid method with expanded mixed element for nonlinear reaction-diffusion equations
cites work: Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
cites work: Iterative and noniterative, full and approximate factorization methods for multidimensional reaction-diffusion equations
cites work: Linearization methods for reaction-diffusion equations: 1-D problems
cites work: Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation
cites work: High accuracy analysis of new schemes for second order elliptic problem for recurrent event data
cites work: Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
cites work: Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
cites work: Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
cites work: Q4980503
cites work: Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation
cites work: Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
cites work: Q5382226
cites work: A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
cites work: Dynamics for a type of general reaction-diffusion model
cites work: A new local energy-preserving algorithm for the BBM equation
cites work: Traveling wave speed and solution in reaction-diffusion equation in one dimension
DOI: 10.1016/J.APNUM.2020.03.007
description: scientific article; zbMATH DE number 7188157