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Creators/Authors contains: "Li, Xiaoli"

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  1. ; ; ; ; (, Scientific Reports)
    Free, publicly-accessible full text available December 1, 2025
  2. ; ; ; ; ; ; (, IEEE Transactions on Image Processing)
    Free, publicly-accessible full text available January 1, 2026
  3. ; ; ; ; ; ; ; (, AIAA SciTech Forum 2023)
    Full Text Available 
  4. ; ; (, Mathematics of Computation)
    We construct new first- and second-order pressure correctionschemes using the scalar auxiliary variable approach for the Navier-Stokes equations. These schemes are linear, decoupled and only require solving a sequence of Poisson type equations at each time step. Furthermore, they are unconditionally energy stable. We also establish rigorous error estimates in the two dimensional case for the velocity and pressure approximation of the first-order scheme without any condition on the time step. 
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  5. ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    We construct a numerical scheme based on the scalar auxiliary variable (SAV) approach in time and the MAC discretization in space for the Cahn–Hilliard–Navier–Stokes phase- field model, prove its energy stability, and carry out error analysis for the corresponding Cahn–Hilliard–Stokes model only. The scheme is linear, second-order, unconditionally energy stable and can be implemented very efficiently. We establish second-order error estimates both in time and space for phase-field variable, chemical potential, velocity and pressure in different discrete norms for the Cahn–Hilliard–Stokes phase-field model. We also provide numerical experiments to verify our theoretical results and demonstrate the robustness and accuracy of our scheme. 
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  6. ; (, Advances in Computational Mathematics)
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  7. ; (, SIAM Journal on Numerical Analysis)
    null (Ed.)
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  8. ; ; (, Mathematics of Computation)
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