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Reduced Basis PMOR method: Difference between revisions

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Created page with 'Category:method Category:parametric method The Reduced Basis Method we present here is applicable to static and time-dependent linear PDEs. ==Time-Independent PDEs== …'
 
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==Time-Independent PDEs==
==Time-Independent PDEs==


<math>
\begin{cases}
\text{For } \mu \in \mathcal{D} \subset \mathbb{R}^P, \text{ evaluate } \\
s^e(\mu) = l(u^e(\mu);\mu), \\
\text{where } u^e(\mu) \in X^e(\Omega) \text{ satisfies } \\
a(u^e(\mu),v;\mu) = f(v;\mu), \forall v \in X^e
\end{cases}
</math>


==Time-Dependent PDEs==
==Time-Dependent PDEs==

Revision as of 14:03, 19 November 2012


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

Time-Independent PDEs

{For μ𝒟P, evaluate se(μ)=l(ue(μ);μ),where ue(μ)Xe(Ω) satisfies a(ue(μ),v;μ)=f(v;μ),vXe

Time-Dependent PDEs

References