719 citations · 1.9k across the 57 of their papers we have counts for
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A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach
Thomas Y. Hou, Dingjiong Ma, Zhiwen Zhang
In this paper, we propose a model reduction method for solving multiscale elliptic PDEs with random coefficients in the multiquery setting using an optimization approach. The optim…
A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition
Thomas Y. Hou, De Huang, Ka Chun Lam +1
In this paper we propose a new iterative method to hierarchically compute a relatively large number of leftmost eigenpairs of a sparse symmetric positive matrix under the multireso…
A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates
Zhiwen Zhang, Phoebus Rosakis, Thomas Y. Hou +1
A mathematical model is proposed for shape evolution and locomotion of fish epidermal keratocytes on elastic substrates. The model is based on mechanosensing concepts: cells apply…