Error analysis of a reduced order method for the Allen-Cahn equation (Q6577615)

scientific article; zbMATH DE number 7885883

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English	Error analysis of a reduced order method for the Allen-Cahn equation	scientific article; zbMATH DE number 7885883

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title

Error analysis of a reduced order method for the Allen-Cahn equation (English)

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Applied Numerical Mathematics

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publication date

24 July 2024

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zbMATH Keywords

reduced order model

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auxiliary variable method

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error estimate

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MaRDI profile type

Publication

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cites work

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Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

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Error analysis of a mixed finite element method for the Cahn-Hilliard equation

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Variational formulation for the lubrication approximation of the Hele-Shaw flow

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A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis

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Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

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Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

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Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

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A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation

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A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

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Multiphase image segmentation using a phase-field model

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Lubrication approximation with prescribed nonzero contact anggle

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Spectral Methods

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

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A reduced order method for Allen-Cahn equations

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Model Problems in Numerical Stability Theory for Initial Value Problems

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Energy Stable Model Order Reduction for the Allen-Cahn Equation

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Unconditionally stable schemes for equations of thin film epitaxy

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Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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A diffuse-interface method for simulating two-phase flows of complex fluids

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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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Reduced-Order Modelling for the Allen-Cahn Equation Based on Scalar Auxiliary Variable Approaches

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.APNUM.2024.03.021

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Sitelinks

Mathematics(1 entry)

mardi Publication:6577615