Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation
DOI10.1080/01630563.2018.1497651zbMath1448.65173OpenAlexW2897223354WikidataQ115551729 ScholiaQ115551729MaRDI QIDQ4622803
Publication date: 18 February 2019
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2018.1497651
finite element methodglobal attractorexponential attractorAllen-Cahn equationnonsmooth data error estimate
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical algorithms for stationary statistical properties of dissipative dynamical systems
- Inertial manifolds for nonlinear evolutionary equations
- Dimensions of attractors for discretizations for Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Uniform exponential attractors for a singularly perturbed damped wave equation.
- Uniform inertial sets for damped wave equations
- Elliptic partial differential equations of second order
- Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system
- Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations
- Global Stability of Approximation for Exponential Attractors
- Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
- Error Estimates for Spatially Discrete Approximations of Semilinear Parabolic Equations with Nonsmooth Initial Data
- Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation
- Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
- Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg--Landau Equation
- Exponential attractors for a nonlinear reaction-diffusion system in
- Exponential attractors for a singularly perturbed Cahn‐Hilliard system
- Galerkin Finite Element Methods for Parabolic Problems
- A construction of a robust family of exponential attractors
- Éléments finis: théorie, applications, mise en œuvre.
This page was built for publication: Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation
