Lei Zhang

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 17

Top Topics

Energy Minimization

Compactly Supported

Error Estimates

Mesh Generation

Top Venues

Multiscale Model. Simul.

SIAM J. Sci. Comput.

J. Comput. Phys.

Publications

Kejie Fu, Mingjie Liao, Yangshuai Wang, Jianjun Chen, Lei Zhang
MeshAC: A 3D Mesh Generation and Adaptation Package for Multiscale Coupling Methods. CoRR (2024)
Xinliang Liu, Bo Xu, Shuhao Cao, Lei Zhang
Mitigating spectral bias for the multiscale operator learning. J. Comput. Phys. 506 (2024)
Zhaoyang Wang, Ping Lin, Lei Zhang
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth. SIAM J. Sci. Comput. 45 (5) (2023)
Derek Olson, Christoph Ortner, Yangshuai Wang, Lei Zhang
Elastic Far-Field Decay from Dislocations in Multilattices. Multiscale Model. Simul. 21 (4) (2023)
Kejie Fu, Mingjie Liao, Yangshuai Wang, Jianjun Chen, Lei Zhang
Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics. J. Comput. Phys. 485 (2023)
Jingrun Chen, Rui Du, Zetao Ma, Zhiwei Sun, Lei Zhang
On the Multiscale Landau-Lifshitz-Gilbert Equation: Two-Scale Convergence and Stability Analysis. Multiscale Model. Simul. 20 (1) (2022)
Yangshuai Wang, James R. Kermode, Christoph Ortner, Lei Zhang
A Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects. CoRR (2022)
Xinliang Liu, Eric Chung, Lei Zhang
Iterated numerical homogenization for multi-scale elliptic equations with monotone nonlinearity. CoRR (2021)
Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. SIAM J. Sci. Comput. 43 (4) (2021)
Xinliang Liu, Eric Chung, Lei Zhang
Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity. Multiscale Model. Simul. 19 (4) (2021)
Xinliang Liu, Lei Zhang, Shengxin Zhu
Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients. CoRR (2021)
Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, Lei Zhang
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods. CoRR (2020)
Haolei Wang, Lei Zhang
Energy Minimization and Preconditioning in the Simulation of Athermal Granular Materials in Two Dimensions. CoRR (2019)
Hehu Xie, Lei Zhang, Houman Owhadi
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction. SIAM J. Numer. Anal. 57 (6) (2019)
Hao Wang, Mingjie Liao, Ping Lin, Lei Zhang
A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions. SIAM J. Sci. Comput. 40 (4) (2018)
Houman Owhadi, Lei Zhang
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. J. Comput. Phys. 347 (2017)
Christoph Ortner, Lei Zhang
Atomistic/Continuum Blending with Ghost Force Correction. SIAM J. Sci. Comput. 38 (1) (2016)
Christoph Ortner, Alexander V. Shapeev, Lei Zhang
(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods. Multiscale Model. Simul. 12 (3) (2014)
Christoph Ortner, Lei Zhang
Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem. SIAM J. Numer. Anal. 50 (6) (2012)
Houman Owhadi, Lei Zhang
Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast. Multiscale Model. Simul. 9 (4) (2011)
Lei Zhang, Leonid Berlyand, Maxim V. Fedorov, Houman Owhadi
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates. Multiscale Model. Simul. 8 (5) (2010)
Houman Owhadi, Lei Zhang
Homogenization of Parabolic Equations with a Continuum of Space and Time Scales. SIAM J. Numer. Anal. 46 (1) (2007)