Lei Zhang

Orcid: 0000-0002-2917-9652

Affiliations:
  • Shanghai Jiao Tong University, Department of Mathematics and Institute of Natural Sciences, China
  • University of Oxford, Mathematical Institute, UK (2010 - 2012)
  • University of Bonn, Hausdorff Center for Mathematics, Germany (2009 - 2010)
  • Max Planck Institute for Mathematics in Sciences, Leipzig, Germany (2007 - 2009)
  • California Institute of Technology (PhD 2007)


According to our database1, Lei Zhang authored at least 25 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Mitigating spectral bias for the multiscale operator learning.
J. Comput. Phys., 2024

Dilated convolution neural operator for multiscale partial differential equations.
CoRR, 2024

MeshAC: A 3D Mesh Generation and Adaptation Package for Multiscale Coupling Methods.
CoRR, 2024

2023
Elastic Far-Field Decay from Dislocations in Multilattices.
Multiscale Model. Simul., December, 2023

A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth.
SIAM J. Sci. Comput., October, 2023

Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics.
J. Comput. Phys., 2023

2022
On the Multiscale Landau-Lifshitz-Gilbert Equation: Two-Scale Convergence and Stability Analysis.
Multiscale Model. Simul., March, 2022

HT-Net: Hierarchical Transformer based Operator Learning Model for Multiscale PDEs.
CoRR, 2022

Higher Order Far-Field Boundary Conditions for Crystalline Defects.
CoRR, 2022

A Posteriori Error Estimate and Adaptivity for QM/MM Models of Crystalline Defects.
CoRR, 2022

2021
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods.
SIAM J. Sci. Comput., 2021

Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity.
Multiscale Model. Simul., 2021

Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients.
CoRR, 2021

Iterated numerical homogenization for multi-scale elliptic equations with monotone nonlinearity.
CoRR, 2021

2020
Curvature Estimation on Point Cloud Using an Indicator Function.
Proceedings of the HPCCT & BDAI 2020: 4th High Performance Computing and Cluster Technologies Conference & 3rd International Conference on Big Data and Artificial Intelligence, 2020

2019
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction.
SIAM J. Numer. Anal., 2019

Energy Minimization and Preconditioning in the Simulation of Athermal Granular Materials in Two Dimensions.
CoRR, 2019

2018
A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions.
SIAM J. Sci. Comput., 2018

2017
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients.
J. Comput. Phys., 2017

2016
Atomistic/Continuum Blending with Ghost Force Correction.
SIAM J. Sci. Comput., 2016

2014
(In-)stability and Stabilization of QNL-Type Atomistic-to-Continuum Coupling Methods.
Multiscale Model. Simul., 2014

2012
Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem.
SIAM J. Numer. Anal., 2012

2011
Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast.
Multiscale Model. Simul., 2011

2010
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates.
Multiscale Model. Simul., 2010

2007
Homogenization of Parabolic Equations with a Continuum of Space and Time Scales.
SIAM J. Numer. Anal., 2007


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