Published Journal Articles

1. Bo Li, Superconvergence for higher-order triangular finite elements, Mathematica Numerica Sinica, 4(11), 413-417, 1989. Selected for republication: Chinese J. Numer. Math. Appl., 12(1), 75-79, 1990.
    
   Note: This paper is cited as "a little known but in my opinion important paper" in: L. B. Wahlbin, Superconvergence in Galerkin Finite Element Methods, volume 1605 of Lecture Notes in Mathematics, Springer, Berlin, 1995 (cf. Section 7.4. Historical remarks).
    
2. Hongsen Chen and Bo Li, Superconvergence analysis and error expansion for the Wilson nonconforming finite element, Numer. Math., 69(2), 125-140, 1994. (Preprint in PDF)
    
3. Petr Kloucek, Bo Li, and Mitchell Luskin, Analysis of a class of nonconforming finite elements for crystalline microstructures, Math. Comp., 65(215), 1111-1135, 1996. (Published version in PDF at the journal website.)
    
4. Bo Li and Mitchell Luskin, Finite element analysis of microstructure for the cubic to tetragonal transformation, SIAM J. Numer. Anal., 35(1), 376-392, 1998. (Published version in PDF - permission and copyright of SIAM.)
    
5. Bo Li and Mitchell Luskin, Nonconforming finite element approximation of crystalline microstructure, Math. Comp., 67(223), 917-946, 1998. (Preprint in PDF)
    
6. Bo Li and Michell Luskin, Approximation of a martensitic laminate with varying volume fractions, ESAIM: Math. Model. Numer. Anal., 33(1), 67-87, 1999. (Preprint in PDF)
    
7. Bo Li and Mitchell Luskin, Theory and computation for the microstructure near the interface between twinned layers and a pure variant of martensite, Materials Sci. Eng. A, 273, 237-240, 1999. (Preprint in PDF)
    
8. Bo Li and Zhimin Zhang, Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements, Numer. Methods PDE, 15(2), 151-167, 1999. (Preprint in PDF)
    
9. Kaushik Bhattacharya, Bo Li, and Mitchell 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 in PDF)
    
10. Bo Li, Approximation of martensitic microstructure with general homogeneous boundary data, J. Math. Anal. Appl., 266, 451-467, 2002. (Preprint in PDF)
     
11. Russel E. Caflisch and Bo Li, Analysis of island dynamics in epitaxial growth of thin films, Multiscale Model. Simul., 1(1), 150-171, 2003. (Published version in PDF - permission and copyright of SIAM.)
     
12. Bo Li, Finite element analysis of a class of stress-free martensitic microstructures, Math. Comp., 72(244), 1675-1688, 2003. (Preprint in PDF)
     
13. Xingzhou Yang, Bo Li, and Zhilin Li, The immersed interface method for elasticity problems with interfaces, Dyn. Contin. Discret Impuls. Syst. Ser. A: Math. Anal., 10(5), 783-808, 2003. (Preprint in PDF.)
     
14. Bo Li and Jian-Guo Liu, Thin film epitaxy with or without slope selection, European J. Appl. Math., 14(6), 713-743, 2003. (Preprint in PDF)
     
15. Bo Li, Lagrange interpolation and finite element superconvergence, Numer. Methods PDE, 20(1), 33-59, 2004. (Preprint in PDF)
     
16. Eberhard Bänsch, Frank Hausser, Omar Lakkis, Bo Li, and Axel Voigt, Finite element method for epitaxial growth with attachment-detachment kinetics, J. Comput. Phys., 194(2), 409-434, 2004. (Preprint in PDF)
     
17. Bo Li, Andreas Rätz, Axel Voigt, Stability of a circular epitaxial island, Physica D, 198, 231-247, 2004. (Preprint in PDF)
     
18. Bo Li and Jian-Guo Liu, Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling, J. Nonlinear Sci., 14, 429-451, 2004. (Preprint in PDF)
     
19. Bo Li, Variational properties of unbounded order parameters, SIAM J. Math. Anal., 38(1), 16-36, 2006. (Published version in PDF - permission and copyright of SIAM.)
     
20. Bo Li, High-order surface relaxation vs. the Ehrlich-Schwoebel effect, Nonlinearity, 19(11), 2581-2603, 2006. (Preprint in PDF)
     
21. Li-Tien Cheng, Joachim Dzubiella, J. Andrew McCammon, and Bo Li, Application of the level-set method to the implicit solvation of nonpolar molecules, J. Chem. Phys., 127, 084503, 2007. (Preprint in PDF, published version in PDF at the journal website.)
     
22. Yan Gong, Bo Li, and Zhilin Li, Immersed-interface finite-element method for elliptic interface problems with non-homogeneous jump conditions, SIAM J. Numer. Anal., 46(1), 472-495, 2008. (Published version in PDF - permission and copyright of SIAM.)
     
23. Jianwei Che, Joachim Dzubiella, Bo Li, and J. Andrew McCammon, Electrostatic free energy and its variations in implicit solvent models, J. Phys. Chem. B, 112(10), 3058-3069, 2008. (Preprint in PDF, published version in PDF at the journal website.)
     
24. Bo Li, John Lowengrub, Andreas Ratz, and Axel Voigt, Geometric evolution laws for thin crystalline films: modeling and numerics, Review Article, Commun. Comput. Phys., 6(3), 433-482, 2009. (Preprint in PDF, published version in PDF at the journal website.)
     
25. Li-Tien Cheng, Yang Xie, Joachim Dzubiella, J. Andrew McCammon, Jianwei Che, and Bo Li, Coupling the level-set method with molecular mechanics for variational implicit solvation of nonpolar molecules, J. Chem. Theory Comput., 5(2), 257-266, 2009. (Preprint in PDF, published version in PDF at the journal website.)
     
    Note: The second author Yang Xie was an undergraduate researcher, supported and supervised by Bo Li, in Summer 2007 at UC San Diego. The related summer research contributed partially to this publication.
     
26. Bo Li, Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent, SIAM J. Math. Anal., 40, 2536-2566, 2009. (Published version in PDF - permission and copyright of SIAM.)
     
    Note: See: Bo Li, Erratum: "Minimization of Electrostatic Free Energy and the Poisson-Boltzmann Equation for Molecular Solvation with Implicit Solvent" [SIAM J. Math. Anal., Vol. 40, No. 6, pp. 2536-2566, 2009], SIAM J. Math. Anal., 43, 2776-2777, 2011. (Preprint in PDF)
     
27. Bo Li, Continuum electrostatics for ionic solutions with nonuniform ionic sizes, Nonlinearity, 22, 811-833, 2009. (Preprint in PDF, published version in PDF at the journal website.)
     
    Note: This article was selected for inclusion in IOP (Institute of Physics) Select. Subject: Applied Mathematics and Mathematical Physics. From the IOP website: IOP select comprises ``articles chosen by our Editors for their novelty, significance and potential impact on future research", and ``reflects both the breadth and international significance of papers published in our prestigious peer reviewed journals."
     
    Note: This article was selected to be part of Nonlinearity's collection of the most downloaded articles of 2009. From the publisher: "The articles selected represent the most frequently downloaded during 2009 and feature extremely high quality research."
     
28. Li-Tien Cheng, Zhongming Wang, Piotr Setny, Joachim Dzubiella, Bo Li, and J. Andrew McCammon, Interfaces and hydrophobic interactions in receptor-ligand systems: A level-set variational implicit solvent approach, J. Chem. Phys., 131, 144102, 2009. (Preprint in PDF)
     
29. Piotr Setny, Zhongming Wang, Li-Tien Cheng, Bo Li, J. Andrew McCammon, and Joachim Dzubliella, Dewetting-controlled binding of ligands to hydrophobic pockets, Phys. Rev. Lett., 103, 187801, 2009. (Preprint in PDF)
     
30. Bo Li, Benzhuo Lu, Zhongming Wang, and J. Andrew McCammon, Solutions to a reduced Poisson-Nernst-Planck system and determination of reaction rates, Physica A, 389, 1329-1345, 2010. (Preprint in PDF)
     
31. Li-Tien Cheng, Bo Li, and Zhongming Wang, Level-Set minimization of potential controlled Hadwiger valuations for molecular solvation, J. Comput. Phys., 229, 8497-8510, 2010. (Preprint in PDF)
     
32. Bo Li and John Shopple, An interface-fitted finite element level set method with application to solidification and solvation, Commun. Comput. Phys., 10, 32-56, 2011. (Preprint in PDF)
     
33. Shenggao Zhou, Zhongming Wang, and Bo Li, Mean-field description of ionic size effects with non-uniform ionic sizes: A numerical approach, Phys. Rev. E, 84, 021901, 2011. (Preprint in PDF)
     
34. Hsiao-Bing Cheng, Li-Tien Cheng, and Bo Li, Yukawa-field approximation of electrostatic free energy and dielectric boundary force, Nonlinearity, 24, 3215-3236, 2011. (Preprint in PDF)
     
35. Bo Li, Xiaoliang Cheng, and Zhengfang Zhang, Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: A shape derivative approach, SIAM J. Applied Math.,, 71, 2093-2111, 2011. (Published version in PDF - permission and copyright of SIAM.)
     
36. Bo Li, Erratum: "Minimization of Electrostatic Free Energy and the Poisson-Boltzmann Equation for Molecular Solvation with Implicit Solvent" [SIAM J. Math. Anal., Vol. 40, No. 6, pp. 2536-2566, 2009], SIAM J. Math. Anal., 43, 2776-2777, 2011. (Preprint in PDF)

Articles Accepted for Publication

1. Zhongming Wang, Jianwei Che, Li-Tien Cheng, Joachim Dzubiella, Bo Li, and J. Andrew McCammon, Level-set variational implicit-solvent modeling of biomolecules with the Coulomb-field approximation, J. Chem. Theory Comput., 2011. (Preprint in PDF)

Articles Submitted for Publication

1. Jiayi Wen, Shenggao Zhou, Zhenli Xu, and Bo Li, Competitive adsorption and ordered packing of counterions near highly charged surfaces: From mean-field theory to Monte Carlo simulations, 2012.

Miscellaneous: Technical Reports, Translations, Thesis, and Lecture Notes

1. Bo Li, A convergence analysis of the Wilson nonconforming finite element (in Chinese), First Chinese national conference on numerical solutions of PDEs, Shanghai, China, 1987. Collected in the book Superconvergence Theory of Finite Element Methods by Qiding Zhu and Qun Lin, Hunan Science Press, 1989. English translation, 1995.
    
2. Bo Li, English translation of Kang Feng's article: Difference Schemes Based on Variational Principle, in Collected Works of Kang Feng, 1994.
    
3. Bo Li, Analysis and computation of martensitic microstructure, Ph.D. Thesis, University of Minnesota, 1996.
    
4. Bo Li, Weak Convergence Methods for Variational Problems Modeling Crystalline Solids, Lecture notes for a graduate seminar course, UCLA, Spring, 1998.
    
5. Bo Li, Continuum Models and Analysis for Epitaxial Growth of Thin Films, Lecture notes for an advanced graduate course, University of Maryland, College Park, Fall, 2003.
    
6. Bo Li, Weak Convergence Methods for Energy Minimization, Lecture notes for Math 241B: Function Analysis, University of California, San Diego, Winter, 2007,
    
7. Bo Li, Lecture Notes on Numerical Analysis (PDF), University of California, San Diego, Spring, 2009.