Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach
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Publication:2226804
DOI10.1016/j.camwa.2020.12.003OpenAlexW3114733320MaRDI QIDQ2226804
Publication date: 9 February 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.003
unique solvabilitysecond-order schemeunconditional energy stabilitySAV approachadaptive time schemeFCH gradient flow equation
Nonlinear parabolic equations (35K55) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (7)
Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ SAV Fourier-spectral method for diffuse-interface tumor-growth model ⋮ High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model ⋮ Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow ⋮ Highly accurate, linear, and unconditionally energy stable large time-stepping schemes for the functionalized Cahn-Hilliard gradient flow equation ⋮ Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model
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