Energy Stable Model Order Reduction for the Allen-Cahn Equation (Q4637175)

scientific article; zbMATH DE number 6861112

Language	Label	Description	Also known as
English	Energy Stable Model Order Reduction for the Allen-Cahn Equation	scientific article; zbMATH DE number 6861112

Statements

instance of

scholarly article

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title

Energy Stable Model Order Reduction for the Allen-Cahn Equation (English)

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Model Reduction of Parametrized Systems

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publication date

18 April 2018

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full work available at URL

https://arxiv.org/abs/1606.08431

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zbMATH Keywords

free-energy functional

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discontinuous Galerkin space discretization

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energy stable average vector field time discretization

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proper orthogonal decomposition

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describes a project that uses

Loewner

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MaRDI profile type

MaRDI publication profile

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cites work

Reduced Basis Exact Error Estimates with Wavelets

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Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric Systems

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An Interior Penalty Finite Element Method with Discontinuous Elements

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility

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A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

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Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method

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A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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High accuracy solutions to energy gradient flows from material science models

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A method for numerical integration on an automatic computer

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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

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A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow

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Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

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Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

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Q2960810

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Data-Driven Parametrized Model Reduction in the Loewner Framework

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Efficient non-linear proper orthogonal decomposition/Galerkin reduced order models with stable penalty enforcement of boundary conditions

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Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems

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Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

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An efficient moving mesh spectral method for the phase-field model of two-phase flows

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation

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A reduced order method for Allen-Cahn equations

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POD-Galerkin reduced-order modeling with adaptive finite element snapshots

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Discontinuous Galerkin methods for periodic boundary value problems

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Optimal Control of a Phase-Field Model Using Proper Orthogonal Decomposition

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A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems

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A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement

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Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit

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Identifiers

zbMATH Open document ID

1468.76042

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DOI

10.1007/978-3-319-58786-8_25

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4637175