A general stochastic fixed-point theorem for continuous random operators on stochastic domains

A concurrent model reduction approach on

A concurrent model reduction approach on spatial and random domains for the solution of stochastic PDEs

✍ Swagato Acharjee; Nicholas Zabaras 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 664 KB

A methodology is introduced for rapid reduced-order solution of stochastic partial differential equations. On the random domain, a generalized polynomial chaos expansion (GPCE) is used to generate a reduced subspace. GPCE involves expansion of the random variable as a linear combination of basis fun