Certified reduced order method for the parametrized Allen-Cahn equation
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Publication:2697785
DOI10.1016/j.camwa.2023.01.006OpenAlexW4317935373MaRDI QIDQ2697785
Liang Wu, Mejdi Aza ıïez, Tómas Chacón-Rebollo, Chuanju Xu
Publication date: 13 April 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.006
Uses Software
Cites Work
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- Reduced order methods for modeling and computational reduction
- Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location
- A reduced order method for Allen-Cahn equations
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Reduced order models based on local POD plus Galerkin projection
- Using adaptive proper orthogonal decomposition to solve the reaction-diffusion equation
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- POD-Galerkin reduced-order modeling with adaptive finite element snapshots
- The scalar auxiliary variable (SAV) approach for gradient flows
- Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
- Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model
- Optimal Control of a Phase-Field Model Using Proper Orthogonal Decomposition
- Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Nonlinear model order reduction based on local reduced-order bases
- Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
- Reduced-Order Modelling for the Allen-Cahn Equation Based on Scalar Auxiliary Variable Approaches
- Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems
- Energy Stable Model Order Reduction for the Allen-Cahn Equation
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy
- On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
- Galerkin proper orthogonal decomposition methods for parabolic problems
