Genming Bai

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20212026

most citedPhysics Informed Neural Networks (PINNs)for approximating nonlinear dispersive PDEs

2 citations · 3 across the 5 of their papers we have counts for

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math.NA2026

Super-approximation and optimal $L^{2}$ convergence of the stabilized BGN method with piecewise linear parametric finite elements for curve-shortening flow

Genming Bai

We develop a bihomotopy argument to estimate the discrete material time derivatives of consistency functionals. Combined with summation-by-parts, this argument yields a directional…

math.NA2026

Stabilization and optimal $L^{2}$ convergence of Dziuk's method with piecewise linear parametric finite elements for curve-shortening flow

Genming Bai

We propose a stabilized version of the fully discrete Dziuk's method for the curve-shortening flow of a closed planar curve with piecewise linear parametric finite elements. With a…

Super-approximation and optimal L2 convergence of the stabilized BGN method with piecewise linear parametric finite elements for curve-shortening flow

Stabilization and optimal L2 convergence of Dziuk's method with piecewise linear parametric finite elements for curve-shortening flow

Super-approximation and optimal $L^{2}$ convergence of the stabilized BGN method with piecewise linear parametric finite elements for curve-shortening flow

Stabilization and optimal $L^{2}$ convergence of Dziuk's method with piecewise linear parametric finite elements for curve-shortening flow