Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model
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Publication:2034916
DOI10.1016/j.camwa.2021.05.014OpenAlexW3164551687WikidataQ112880453 ScholiaQ112880453MaRDI QIDQ2034916
Zhengyuan Song, Fuchen Zhang, Huanrong Li, Dongmei Wang
Publication date: 23 June 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.014
PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (9)
Numerical analysis of energy-stable Crank-Nicolson finite difference schemes for the phase-field equation ⋮ A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation ⋮ A precision preserving Crank-Nicolson mixed finite element lowering dimension method for the unsteady conduction-convection problem ⋮ Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation ⋮ Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model ⋮ A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model ⋮ A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation ⋮ Certified reduced order method for the parametrized Allen-Cahn equation ⋮ A modified finite volume element method for solving the phase field Allen-Cahn model
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