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Selected Publications
(click here
for a full list of publications)
- Z. Huang and B. Li, Variational implicit solvation with
Legendre-transformed Poisson-Boltzmann elecrtrostatics,
Proc. R. Soc. A, 480:20230731, 2024.
(Preprint,
Published version)
- S. Liu, Z. Zhang, H.-B. Cheng, L.-T. Cheng, and B. Li,
Explicit-solute implicit-solvent molecular simulation
with binary level-set, adaptive-mobility, and GPU, J. Comput. Phys.,
472, 111673, 2023.
(Preprint,
Published version)
- B. Li, Z. Zhang, and S. Zhou,
The calculus of boundary variations and the dielectric boundary force in the
Poisson-Boltzmann theory for molecular solvation, J. Nonlinear Sci., 31(89), pp. 1-50, 2021.
(Preprint,
Published version)
- B. Ciotti and B. Li, Passing from discrete to continuum models of electrostatic energy,
SIAM J. Math. Anal., 53(4), 4568-4604, 2021.
(Published version © SIAM)
- C. Fan, B. Li, and M. White, A generalized Rayleigh-Plesset equation
for ions with solvent fluctuations, SIAM J. Applied Math, 81(3), 1098-1115, 2021.
(Published version © SIAM)
- Z. Zhang, C. Ricci, C. Fan, L.-T. Cheng, B. Li, and J. A. McCammon,
Coupling Monte Carlo, variational implicit solvation, and binary level-set for
simulations of biomolecular binding,
J. Chem. Theory Comput., 17(4), 2465-2478, 2021.
(Preprint,
Published version)
- S. Zhou, R. G. Weiss, L.-T. Cheng, J. Dzubiella, J. A. McCammon, and B. Li,
Variational implicit-solvent predictions of the dry-wet transition pathways for
ligand-receptor binding and unbinding kinetics, Proc. Natl Acad. Sci. USA,
116(30), 14989-14994, 2019.
(Main text.
SI.
A related presentation.)
- M. Warren, H. Sun, Y. Yan, J. Cremer, B. Li, and T. Hwa, Spatiotemporal establishment
of dense bacterial colonies growing on hard agar, eLife, 8:e41093, 2019.
(Open access.
A related presentation.)
- S. Dai, B. Li, and J. Lu,
Convergence of phase-field free energy and boundary force for molecular solvation,
Arch. Rational Mech. Anal., 227(1), 105-147, 2018.
(Preprint,
Published version,
A related presentation.)
- H. Sun, J. Wen, Y. Zhao, B. Li, and J. A. McCammon,
A self-consistent phase-field approach to implicit solvation of charged
molecules with Poisson-Boltzmann electrostatics, J. Chem. Phys.,
143, 243110, 2015.
(Published version)
- S. Zhou, L.-T. Cheng, J. Dzubiella, B. Li, and J. A. McCammon,
Variational implicit solvation with Poisson-Boltzmann theory,
J. Chem. Theory Comput., 10(4), 1454-1467, 2014.
(Published version)
- B. A. Camley, Y. Zhao, B. Li, H. Levine, and W.-J. Rappel,
Periodic migration in a physical model of cells on micropatterns,
Phys. Rev. Lett., 111, 158102, 2013.
(Published version:
main text,
SI.
permision of the journal)
- B. Li, X. Cheng, and Z. Zhang,
Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy:
A shape derivative approach,
SIAM J. Appl. Math., 71(6), 2093-2111, 2011.
(Published version © SIAM)
- S. Zhou, Z. Wang, and B. Li, Mean-field description of ionic size
effects with non-uniform ionic sizes: A numerical approach,
Phys. Rev. E, 84, 021901, 2011.
(Published version - permision of the
journal)
- B. Li, Continuum electrostatics for ionic solutions with non-uniform ionic sizes,
Nonlinearity, 22(4), 811-833, 2009. (Included in IOP Select 2009.
Published version.)
- B. Li, Minimization of electrostatic free energy and the Poisson-Boltzmann equation
for molecular solvation with implicit solvent,
SIAM J. Math. Anal., 40(6), 2536-2566, 2009.
(Published version
© SIAM)
- J. Che, J. Dzubiella, B. Li, and J. A. McCammon,
Electrostatic free energy and its variations in implicit solvent models,
J. Phys. Chem. B, 112(10), 3058-3069, 2008.
(Preprint,
Published version)
- B. Li and J.-G. Liu,
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling,
J. Nonlinear Sci., 14, 429-451, 2004.
(Preprint,
Published version)
- B. Li and J.-G. Liu, Thin film epitaxy with or without slope selection,
Euro. J. Appl. Math., 14, 713-743, 2003.
(Preprint,
Published version)
- R. E. Caflisch and B. Li,
Analysis of island dynamics in epitaxial growth of thin films,
SIAM Multiscale Model. Simul., 1(1), 150-171, 2003.
(Published version © SIAM)
- B. Li,
Finite element analysis of a class of stress-free martensitic microstructures,
Math. Comp., 72(244), 1675-1688, 2003.
(Published version)
- K. Bhattacharya, B. Li, and M. B. Luskin,
The simply laminated microstructure in martensitic crystals that
undergo a cubic to orthorhombic phase transformation,
Arch. Rational Mech. Anal., 149(2), 123-154, 1999.
(Preprint,
Published version)
- B. Li and M. Luskin, Nonconforming finite element approximation of crystalline
microstructure,
Math. Comp., 67(223), 917-946, 1998.
(Published version)
- B. Li and M. Luskin,
Finite element analysis of microstructure for the cubic to
tetragonal transformation,
SIAM J. Numer. Anal., 35(1), 376-392, 1998.
(Published version © SIAM)
- H. Chen and B. Li,
Superconvergence analysis and error expansion for the Wilson
nonconforming finite element,
Numer. Math., 69(2), 125-140, 1994.
(Preprint,
Published version)
- B. Li, Superconvergence for higher-order triangular finite elements,
Chinese J. Numer. Math. Appl., 12(1), 75-79, 1990.
(Cited as "a little known but in my opinion important paper" in L. B. Wahlbin,
Superconvergence in Galerkin Finite Element Methods, Springer, 1995.)
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