Vedant Puri
PhD student at Carnegie Mellon University
\mathbb{R}^{N_\text{FOM}}
\bar{u}(0)
\tilde{u}(0)
\tilde{u}(T)
\mathcal{M}
\bar{u}(T)
h_\text{ROM}
g_\text{ROM}
\begin{pmatrix}
\hspace{0.4em}
\\
\\
\\
\end{pmatrix}
\begin{pmatrix}
\hspace{0.4em}
\\
\\
\\
\end{pmatrix}
\bar{u}(t=0)
\tilde{u}(t=0)
\tilde{u}(t=T)
\bar{u}(t=T)
\text{Manifold}\\
\text{projection}
\text{Model}\\
\text{inference}
\frac{\mathrm{d} \bar{u}}{\mathrm{d} t} = \mathcal{L}(\bar{u}, t)
\mathbf{J}_g\frac{\mathrm{d} \tilde{u}}{\mathrm{d} t} = \mathcal{L}(g_\text{ROM}(\tilde{u}), t)
galerkin-projection-schematic
By Vedant Puri
