Author

Shu Ma

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Preprint Oct 2026

A second-order energy-stable low-regularity integrator for the Navier--Stokes equations

A second-order exponential low-regularity integrator is proposed for the incompressible Navier--Stokes equations. The method requires only linear solves and satisfies a discrete energy-decay property. Second-order temporal convergence is established under a uniform $H^4$ solution bound, with an error constant that rema...

Shu Ma · 1 citation

Preprint Sep 2026

High-order energy diminishing ALE-SAV finite element methods for two-phase Navier--Stokes flow

We develop a high-order fully discrete ALE-SAV finite element method for sharp-interface two-phase Navier--Stokes flow that satisfies a discrete energy dissipation law. We introduce an SAV reformulation to ensure the stable treatment of the surface and gravitational potential energies, together with an energy-stable AL...

Shu Ma · 0 citations