| Metric‐based upscaling H Owhadi, L Zhang Communications on Pure and Applied Mathematics 60 (5), 675-723, 2007 | 206 | 2007 |
| Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization H Owhadi, L Zhang, L Berlyand ESAIM: Mathematical Modelling and Numerical Analysis 48 (2), 517-552, 2014 | 128 | 2014 |
| Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast H Owhadi, L Zhang Multiscale Modeling & Simulation 9 (4), 1373-1398, 2011 | 91 | 2011 |
| Numerical homogenization of the acoustic wave equations with a continuum of scales H Owhadi, L Zhang Computer Methods in Applied Mechanics and Engineering 198 (3-4), 397-406, 2008 | 90 | 2008 |
| Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: A two-dimensional model problem C Ortner, L Zhang SIAM Journal on Numerical Analysis 50 (6), 2940-2965, 2012 | 58 | 2012 |
| Homogenization of parabolic equations with a continuum of space and time scales H Owhadi, L Zhang SIAM Journal on Numerical Analysis 46, 1-36, 2007 | 53 | 2007 |
| Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients H Owhadi, L Zhang Journal of Computational Physics 347, 99-128, 2017 | 49 | 2017 |
| Experimental studies of vibrational modes in a two-dimensional amorphous solid L Zhang, J Zheng, Y Wang, L Zhang, Z Jin, L Hong, Y Wang, J Zhang Nature communications 8 (1), 67, 2017 | 44 | 2017 |
| A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales XA Li, ZQJ Xu, L Zhang Communications in Computational Physics 28 (5), 1886-1906, 2020 | 42 | 2020 |
| Energy-based atomistic-to-continuum coupling without ghost forces C Ortner, L Zhang Computer Methods in Applied Mechanics and Engineering 279 (1), 29-45, 2013 | 33 | 2013 |
| Atomistic/continuum blending with ghost force correction C Ortner, L Zhang SIAM Journal on Scientific Computing 38 (1), A346–A375, 2016 | 30 | 2016 |
| Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction H Xie, L Zhang, H Owhadi SIAM Journal on Numerical Analysis 57 (6), 2519-2550, 2019 | 24 | 2019 |
| Mitigating spectral bias for the multiscale operator learning with hierarchical attention X Liu, B Xu, L Zhang arXiv preprint arXiv:2210.10890, 2022 | 20* | 2022 |
| Surface anchoring controls orientation of a microswimmer in nematic liquid crystal H Chi, M Potomkin, L Zhang, L Berlyand, IS Aranson Communications Physics 3 (1), 162, 2020 | 20 | 2020 |
| On an evolution equation in a cell motility model MS Mizuhara, L Berlyand, V Rybalko, L Zhang Physica D: Nonlinear Phenomena 318, 12-25, 2015 | 18 | 2015 |
| A posteriori error estimation and adaptive algorithm for the atomistic/continuum coupling in 2d H Wang, M Liao, P Lin, L Zhang SIAM Journal on Scientific Computing 40 (4), A2087–A2119, 2018 | 17 | 2018 |
| Subspace decomposition based DNN algorithm for elliptic type multi-scale PDEs XA Li, ZQJ Xu, L Zhang Journal of Computational Physics 488, 112242, 2023 | 14 | 2023 |
| Adaptive QM/MM coupling for crystalline defects H Chen, M Liao, H Wang, Y Wang, L Zhang Computer Methods in Applied Mechanics and Engineering 354, 351-368, 2019 | 14 | 2019 |
| A posteriori error estimates for adaptive qm/mm coupling methods Y Wang, H Chen, M Liao, C Ortner, H Wang, L Zhang SIAM Journal on Scientific Computing 43 (4), A2785-A2808, 2021 | 12 | 2021 |
| A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions M Liao, P Lin, L Zhang Commun. Comput. Phys. 27, 198-226, 2020 | 9 | 2020 |
Houman OwhadiProfessor of Applied and Computational Mathematics and Control and Dynamical Systems, CaliforniaVerified email at caltech.edu
