A reduced order method for Allen-Cahn equations

DOI10.1016/j.cam.2015.07.009zbMath1327.65245OpenAlexW1194768078MaRDI QIDQ495114

Lijian Jiang, Huailing Song, Qiuqi Li

Publication date: 9 September 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.07.009

zbMATH Keywords

proper orthogonal decompositiondiscrete empirical interpolationAllen-Cahn equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation ⋮ An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation ⋮ Certified reduced order method for the parametrized Allen-Cahn equation ⋮ Pinning boundary conditions for phase-field models ⋮ The POD-DEIM reduced-order method for stochastic Allen-Cahn equations with multiplicative noise ⋮ An efficient reproducing kernel method for solving the Allen-Cahn equation ⋮ Energy Stable Model Order Reduction for the Allen-Cahn Equation ⋮ Novel modal methods for transient analysis with a reduced order model based on enhanced Craig-Bampton formulation ⋮ The fractional Allen-Cahn equation with the sextic potential ⋮ Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen-Cahn-Navier-Stokes system

Cites Work

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