Reduced Basis PMOR method

The Reduced Basis Method we present here is applicable to static and time-dependent linear PDEs.

Time-Independent PDEs

$\{\begin{array}{l}\text{For }\mu \in {𝒟}\subset {\mathbb{ℝ}}^P,\text{ evaluate }\\ s^e(\mu )=l(u^e(\mu );\mu ),\\ \text{where }{u}^e(\mu )\in X^e(\mathrm{\Omega })\text{ satisfies }\\ a(u^e(\mu ),v;\mu )=f(v;\mu ),\mathrm{\forall }v\in X^e\end{array}$