Pengchuan Zhang

activity

20162021

most citedSparse operator compression of higher-order elliptic operators with rough coefficients

1 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NA2016★ 1 cited

A sparse decomposition of low rank symmetric positive semi-definite matrices

Thomas Y. Hou, Qin Li, Pengchuan Zhang

Suppose that $A \in R^{N \times N}$ is symmetric positive semidefinite with rank $K \leq N$ . Our goal is to decompose $A$ into $K$ rank-one matrices $\sum_{k=1}^K g_k g_k^T…

math.NA2016★ 1 cited

Exploring the locally low dimensional structure in solving random elliptic PDEs

Thomas Y. Hou, Qin Li, Pengchuan Zhang

We propose a stochastic multiscale finite element method (StoMsFEM) to solve random elliptic partial differential equations with a high stochastic dimension. The key idea is to sim…