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, published version in PDF at the journal website.)
    
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, published version in PDF at the journal website.)
    
6. Bo Li and Mitchell Luskin, Approximation of a martensitic laminate with varying volume fractions, ESAIM: Math. Model. Numer. Anal., 33(1), 67-87, 1999. (Preprint in PDF, published version in PDF at the journal website.)
    
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, published version in PDF at the journal website.)
    
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, published version in PDF at the journal website.)
    
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, published version in PDF at the journal website.)
    
10. Bo Li, Approximation of martensitic microstructure with general homogeneous boundary data, J. Math. Anal. Appl., 266, 451-467, 2002. (Preprint in PDF, published version in PDF at the journal website.)
     
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, published version in PDF at the journal website.)
     
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, published version in PDF at the journal website.)
     
15. Bo Li, Lagrange interpolation and finite element superconvergence, Numer. Methods PDE, 20(1), 33-59, 2004. (Preprint in PDF, published version in PDF at the journal website.)
     
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, published version in PDF at the journal website.)
     
17. Bo Li, Andreas Rätz, and Axel Voigt, Stability of a circular epitaxial island, Physica D, 198, 231-247, 2004. (Preprint in PDF, published version in PDF at the journal website.)
     
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, published version in PDF at the journal website.)
     
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, published version in PDF at the journal website.)
     
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.)
     
    Note: This paper was selected for republication in The Virtual J. of Nanoscale Sci. & Tech., Volume 16, Issue 10, 2007.
     
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.)
     
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."
     
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.)
     
    Note: This paper was selected for republication in The Virtual J. of Biological Physics Research, Volume 18, Issue 8, 2009.
     
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.)

Articles Submitted for Publication

1. Bo Li, Zhongming Wang, Benzhuo Lu, and J. Andrew McCammon, Solutions to a reduced Poisson-Nernst-Planck system and determination of reaction rates, 2009. (Preprint in PDF.)

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.