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Preprint Aug 2026

Optimal Energy-Norm Convergence for the Dynamic Diffusion Finite Element Method

We revisit the nonlinear two-scale Dynamic Diffusion (DD) finite element formulation mathematically analyzed by Santos et al. (2021) for stationary advection--diffusion--reaction problems. We establish an explicit local Lipschitz estimate for the artificial diffusivity, with a constant of order $h_T$, and use it to pro...

I. Santos · 0 citations

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