Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs
type: Item
instance of: scholarly article
title: Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs
author: Jean-Paul Chehab
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 7451792
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: Kuramoto-Sivashinski equation
zbMATH Keywords: finite differences compact schemes
zbMATH Keywords: finite differences
zbMATH Keywords: multigrid methods
zbMATH Keywords: stability
zbMATH Keywords: numerical filters
zbMATH Keywords: damping modelling
MaRDI profile type: Publication
full work available at URL: dcdss.2021002
OpenAlex ID: W3121065959
Wikidata QID: Q114022634
cites work: A stabilized bi-grid method for Allen-Cahn equation in finite elements
cites work: Discrete Schrödinger equations and dissipative dynamical systems
cites work: Q5690367
cites work: Q4046455
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
cites work: The initial-value problem for the Korteweg-de Vries equation
cites work: Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations
cites work: Fast and stable schemes for phase fields models
cites work: Nonlinear hybrid procedures and fixed point iterations
cites work: Chaos for a damped and forced KdV equation
cites work: Séparation des échelles et schémas multiniveaux pour les équations d'ondes non-linéaires
cites work: Q4397274
cites work: Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization
cites work: Multiparameter schemes for evolutionary equations
cites work: Time explicit schemes and spatial finite differences splittings
cites work: Long-time behavior of solutions of a BBM equation with generalized damping
cites work: Numerical study of a family of dissipative KdV equations
cites work: On damping rates of dissipative KdV equations
cites work: Decay of solutions to a water wave model with a nonlocal viscous dispersive term
cites work: Q4434436
cites work: Time marching multilevel techniques for evolutionary dissipative problems
cites work: A dynamical multi-level scheme for the Burgers equation: Wavelet and hierarchical finite element
cites work: Incremental unknowns, multilevel methods and the numerical simulation of turbulence
cites work: Q4924042
cites work: Numerical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach
cites work: Visco-potential free-surface flows and long wave modelling
cites work: Viscous potential free-surface flows in a fluid layer of finite depth
cites work: The Diffuse Interface Approach in Materials Science
cites work: Theory and practice of finite elements.
cites work: Semi-discrete weakly damped nonlinear 2-D Schrödinger equation.
cites work: Finite volume discretization and multilevel methods in flow problems
cites work: Damping to prevent the blow-up of the Korteweg-de Vries equation
cites work: Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
cites work: A note on the strong convergence towards attractors of damped forced KdV equations
cites work: Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equations
cites work: Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
cites work: On a time discretization of a weakly damped forced nonlinear Schrödinger equation
cites work: The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
cites work: Accurate computations on inertial manifolds
cites work: Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations
cites work: Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Q5615661
cites work: Nonlinear Galerkin Methods
cites work: Nonlinear Galerkin methods: The finite elements case
cites work: Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
cites work: Nonlinear Theory of Ion Acoustic Waves with Landau Damping
cites work: Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line
cites work: Staggered incremental unknowns for solving Stokes and generalized Stokes problems
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: On the multi-level splitting of finite element spaces

Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs (DOI)
DOI: 10.3934/DCDSS.2021002