Author

Ying-Wei Wang

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Preprint Oct 2026

Positivity-preserving scalar auxiliary variable schemes for gradient flows via a quadratic reformulation

The scalar auxiliary variable (SAV) method replaces the nonlinear part of the free energy by a positive scalar $r(t)=\sqrt{\mathcal{E}_{_\mathcal{N}}[\phi]+C}>0$, thereby yielding linear, unconditionally energy-stable schemes for gradient flows. At the discrete level, however, the standard backward Euler and Crank--Nic...

Qiong-Ao Huang, Zhi-Hao Liu, Ying-Wei Wang et al. · 0 citations

Preprint Sep 2026

Structure-preserving upwind Lagrange multiplier schemes for solid-state dewetting with a logarithmic Flory--Huggins potential

Phase-field simulations of solid-state dewetting based on polynomial potentials may exhibit spurious bulk-diffusion coarsening, inconsistent with the surface-diffusion-dominated physics. To address this issue, we formulate a degenerate Cahn--Hilliard model with the logarithmic Flory--Huggins potential and dynamic conta...

Qiong-Ao Huang, Ying-Wei Wang, Cheng Yuan · 0 citations