Robust a posteriori estimates for the stochastic Cahn-Hilliard equation
DOI10.1090/mcom/3836zbMath1529.65053arXiv2201.08641OpenAlexW4321493041MaRDI QIDQ6045324
Publication date: 26 May 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.08641
PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) White noise theory (60H40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Stochastic ferromagnetism. Analysis and numerics
- Stochastic partial differential equations: an introduction
- Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- On the stochastic Cahn-Hilliard equation with a singular double-well potential
- Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Adaptive concepts for stochastic partial differential equations
- Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit
- Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities
- The phase field method for geometric moving interfaces and their numerical approximations
- A posterioriestimates for the Cahn–Hilliard equation with obstacle free energy
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
- Stochastic Cahn-Hilliard equation
- A Posteriori Estimates for the Stochastic Total Variation Flow
- A posteriori error estimation and space-time adaptivity for a linear stochastic PDE with additive noise
- Introduction
- Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise
