Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms *
DOI10.1088/1361-6420/ad0e25zbMath1530.65111MaRDI QIDQ6141556
Unnamed Author, Yunqing Huang, Wan-Sheng Wang
Publication date: 20 December 2023
Published in: Inverse Problems (Search for Journal in Brave)
Allen-Cahn equationcontinuous data assimilationparameter recoverydiffuse interface width parameterIMEX BDF methodsIMEX one-leg methodsstrongly \(A\)-stability
Bayesian inference (62F15) Inverse problems for PDEs (35R30) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations
- Partial differential equations. III: Nonlinear equations.
- On the convergence properties of the EM algorithm
- Infinite-dimensional dynamical systems in mechanics and physics
- Stability and error analysis of one-leg methods for nonlinear delay differential equations
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study
- Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
- Downscaling the 2D Bénard convection equations using continuous data assimilation
- On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations
- A posteriori error analysis for time-dependent Ginzburg-Landau type equations
- Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity
- Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations
- Continuous data assimilation for displacement in a porous medium
- Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations
- Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
- On stochastic parameter estimation using data assimilation
- On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
- Continuous data assimilation using general interpolant observables
- Nonlinear stability of one-leg methods for delay differential equations of neutral type
- A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
- Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter
- Parameter sampling capabilities of sequential and simultaneous data assimilation: I. Analytical comparison
- Parameter sampling capabilities of sequential and simultaneous data assimilation: II. Statistical analysis of numerical results
- Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations
- G-stability is equivalent toA-stability
- Mixture Densities, Maximum Likelihood and the EM Algorithm
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Dynamical State and Parameter Estimation
- Phase transitions and generalized motion by mean curvature
- Contractive methods for stiff differential equations Part II
- Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits
- Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
- Thin film epitaxy with or without slope selection
- Geometrical Evolution of Developed Interfaces
- Learning stochastic closures using ensemble Kalman inversion
- Covariance kernels investigation from diffusive wave equations for data assimilation in hydrology
- Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations
- Data assimilation finite element method for the linearized Navier–Stokes equations in the low Reynolds regime
- Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study
- Probabilistic Forecasting and Bayesian Data Assimilation
- Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Data Assimilation
- Data Assimilation
- A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
- The ensemble Kalman filter for combined state and parameter estimation
- Introduction
- Simple and efficient continuous data assimilation of evolution equations via algebraic nudging
This page was built for publication: Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms *
