Lihan Wang : Approximation of Correctors and Multipoles in Random Elliptic Media
We consider the whole-space decaying solution of second-order elliptic PDE in divergence form with space dimension d=3, where the coefficient field is a realization of a stationary, uniformly elliptic, unit range ensemble of random field, and the right-hand-side is deterministic and compactly supported in a ball of size \ell. Given the coefficient field in a large box of size L much larger than \ell, we are interested in an algorithm to compute the gradient of the solution with the "best" artificial boundary condition on the domain of size L which describes the correct long-range multipole behavior. We want to show that, with high probability, our algorithm reaches the CLT-type lower bound of error. Joint work with Jianfeng Lu and Felix Otto.
- Category: Graduate/Faculty Seminar
- Duration: 01:14:49
- Date: March 25, 2019 at 11:55 AM
- Tags: seminar, Graduate/faculty Seminar