An efficient data assimilation algorithm using the Allen-Cahn equation (Q6539863)

scientific article; zbMATH DE number 7849417

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English	An efficient data assimilation algorithm using the Allen-Cahn equation	scientific article; zbMATH DE number 7849417

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instance of

scholarly article

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title

An efficient data assimilation algorithm using the Allen-Cahn equation (English)

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Engineering Analysis with Boundary Elements

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publication date

15 May 2024

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zbMATH Keywords

date assimilation

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Allen-Cahn equation

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second-order accuracy

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unconditional stability

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Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system

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Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters

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Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation

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Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time

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Accuracy of Some Approximate Gaussian Filters for the Navier--Stokes Equation in the Presence of Model Error

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Continuous data assimilation with stochastically noisy data

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A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

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Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm

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Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations

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Continuous data assimilation for two-phase flow: analysis and simulations

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Data Assimilation for the Navier--Stokes Equations Using Local Observables

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A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field

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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

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Shape transformation using the modified Allen-Cahn equation

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Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model

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Triply periodic minimal surface using a modified Allen-Cahn equation

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Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

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A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method

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A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

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A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces

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Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model

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Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations

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An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation

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Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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Poisson shape interpolation

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An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model

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Identifiers

zbMATH Open document ID

1537.6511

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DOI

10.1016/j.enganabound.2023.06.029

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6539863