Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation
type: Item
instance of: scholarly article
title: Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation
zbMATH Open document ID: 1503.65254
author: Lingling Zhou
author: Ruihan Guo
published in: Journal of Scientific Computing
publication date: 2022-12-13T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7632595
zbMATH Keywords: Swift-Hohenberg equation
zbMATH Keywords: local discontinuous Galerkin method
zbMATH Keywords: error estimate
zbMATH Keywords: energy stability
zbMATH Keywords: spectral deferred correction method
MaRDI profile type: Publication
full work available at URL: s10915-022-02014-3
OpenAlex ID: W4297475445
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: Pattern formation outside of equilibrium
cites work: Spectral deferred correction methods for ordinary differential equations
cites work: Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
cites work: Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
cites work: High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation
cites work: A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation
cites work: Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models
cites work: Analysis of nonlocal neural fields for both general and gamma-distributed connectivities
cites work: A semi-analytical Fourier spectral method for the Swift-Hohenberg equation
cites work: Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
cites work: High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation
cites work: Semi-implicit spectral deferred correction methods for ordinary differential equations
cites work: A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation
cites work: Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
cites work: High-order convergence of spectral deferred correction methods on general quadrature nodes
cites work: Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
cites work: Efficient time discretization for local discontinuous Galerkin methods
cites work: Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
cites work: Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations
cites work: On a Large Time-Stepping Method for the Swift-Hohenberg Equation
DOI: 10.1007/S10915-022-02014-3
description: scientific article; zbMATH DE number 7632595