Financial support from the Fonds National Suisse(FNS),Switzerland,(project 191680)is highly acknowledged.
We present a novel efficient implementation of the flexible boundary condition(FBC)method,initially proposed by Sinclair et al.,for large single-periodic problems.Efficiency is primarily achieved by constructing a hie...
supported by National Natural Science Foundation of China grant 11861131004,11771040,91430106;supported by Natural Science Foundation of China grant 11871339,11861131004,11571314,11471214 and the One Thousand Plan of China for young scientists.
In this paper,we develop the residual based a posteriori error estimates and the corresponding adaptive mesh refinement algorithm for atomistic/continuum(a/c)coupling with finite range interactions in two dimensions.W...
The conventional Poisson-Nernst-Planck equations do not account for the finite size of ions explicitly.This leads to solutions featuring unrealistically high ionic concentrations in the regions subject to external pot...
Hong Kong Research Grant Council(621709,621011)and grants SRFI11SC05 and RPC10SC11 atHKUST.J.C.Huang was supported by National Science Council of Taiwan through grant No.NSC 100-2221-E-019-048-MY3.
Due to the rapid advances inmicro-electro-mechanical systems(MEMS),the study of microflows becomes increasingly important.Currently,the molecular-based simulation techniques are the most reliable methods for rarefied ...
partially supported by the National Science Foundation,USA,through grant DMS-0921004.
A nonlocal continuum electrostatic model,defined as integro-differential equations,can significantly improve the classic Poisson dielectric model,but is too costly to be applied to large protein simulations.To sharply...
supported in part by NSF grant CCF-0936830;NIH grant R01GM-090208;MSU Competitive Discretionary Funding Program grant 91-4600.
Proton transport is one of the most important and interesting phenomena in living cells.The present work proposes a multiscale/multiphysics model for the understanding of the molecular mechanism of proton transport in...
supported by Hong Kong Research Grant Council 621709 and 621011,National Natural Science Foundation of China(Project No.10928205);National Key Basic Research Program(2009CB724101);J.C.Huang was supported by National Science Council of Taiwan through grant no.NSC 100-2221-E-019-048-MY3。
With discretized particle velocity space,a multi-scale unified gas-kinetic scheme for entire Knudsen number flows has been constructed based on the kinetic model in one-dimensional case[J.Comput.Phys.,vol.229(2010),pp...
supported by the National Science Foundation of China,the special funds for major state basic research,and Shanghai municipality and MOE.The computations were performed at Fudan Supercomputer Center.
We propose a newmultiscalemethod that couplesmolecular dynamics simulations(MD)at the atomic scale and finite element simulations(FE)at the continuum regime.By constructing the mass matrix and stiffness matrix depende...
This work was supported by the Department of Energy under grant number DE-FG02-05ER25698.
Several issues connected with bridging methods for atomistic-to-continuum(AtC)coupling are examined.Different coupling approaches using various energy blending models are studied as well as the influence that model pa...
We study a continuum paradigm of the lipid bilayer based on minimizing the free energy of a mixture of water and lipid molecules.This paper extends previous work of Blom and Peletier[European J.Appl.Math.,15(2004),pp....