Wangbo Luo

Nesterov's Accelerated Gradient Flow Method for Block Copolymer Systems

Wangbo Luo, Yanxiang Zhao

ABSTRACT Minimizers of phase‐field models are commonly computed by evolving gradient‐flow dynamics, such as , , or Wasserstein gradient flows, toward equilibrium. However, phase‐field energies often possess complicated energy landscapes, and the corresponding relaxation dynamics may involve long‐time, multi‐stage evolution. In many …

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Asymptotically compatible schemes for nonlocal Ohta–Kawasaki model

Wangbo Luo, Yanxiang Zhao

Abstract We study the asymptotical compatibility of the Fourier spectral method in multidimensional space for the nonlocal Ohta–Kawasaka model, a more generalized version of the model proposed in our previous work (Y. Zhao and W. Luo, Physica D 458 (2024), 133989). By …

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Asymptotically Compatible Schemes for Nonlocal Ohta Kawasaki Model

Wangbo Luo, Yanxiang Zhao

We study the asymptotical compatibility of the Fourier spectral method in multidimensional space for the Nonlocal Ohta-Kawasaka (NOK) model, which is proposed in our previous work. By introducing the Fourier collocation discretization for the spatial variable, we show that the asymptotical compatibility …

Nonlocal effects on a 1D generalized Ohta–Kawasaki model

Wangbo Luo, Yanxiang Zhao

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