Recent Archival Journal Papers (Refereed Only)

• Nathan Collier, Daniel C. Simkins, Jr., "The Quasi-uniformity Condition for Reproducing Kernel Element Method Meshes," Computational Mechanics, submitted.
  
• Daniel C. Simkins, Jr., Nathan Collier, Mario Juha, Lisa B. Whitenack Liu, ``A Framework for Studying the RKEM Representation of Discrete Point Sets'' in Michael Griebel and Marc A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IV,Lecture Notes in Computational Science and Engineering, pages 301-314, Springer-Verlag, 2008.
  
• Daniel C. Simkins, Abhishek Kumar, Nathan Collier and Lisa B. Whitenack, ``Geometry Representation, Modification and Iterative Design Using RKEM,'' Computer Methods in Applied Mechanics and Engineering, 196(2007) 4304-4320
• Daniel C. Simkins, Shaofan Li, and Xiaohu Liu, ``Meshfree Simulations of Thermal-Mechanical Dynamic Fracture,'' Computational Mechanics, Volume 38, Number 3, August, 2006
• Shaofan Li, Daniel C. Simkins, Jr., Hongsheng Lu, and Wing Kam Liu, ``Reproducing kernel element interpolation: Globally conforming $I^m/C^n$ hierarchies,'' Lecture Notes in Computational Science and Engineering, 30(2003), Meshfree Methods for Partial Differential Equations, Edited by, Michael Griebel and Marc A. Schweitzer .
  
• Shaofan Li, Hongsheng Lu, Weimin Han, Wing Kam Liu, and Daniel C. Simkins, Reproducing Kernel Element Method. Part II. Globally Conforming $I^m / C^n$ Hierarchies, Computer Methods in Applied Mechanics and Engineering, 193(2004) 953-987.
  
• Hongsheng Lu, Shaofan Li, Daniel C. Simkins, Wing Kam Liu, and Jian Cao Reproducing Kernel Element Method. Part III. Generalized Enrichment and Applications, Computer Methods in Applied Mechanics and Engineering, 193(2004) 989-1011.
  
• Daniel C. Simkins, Shaofan Li, Hongsheng Lu, and Wing Kam Liu Reproducing Kernel Element Method. Part IV. Globally Compatible $C^n (n \ge 1)$ Triangular Hierarchy, Computer Methods in Applied Mechanics and Engineering, 193(2004) 1013-1034.
  
• Daniel C. Simkins, Jr, and Shaofan Li, On Effective Stiffness of Damaged Plates, Archive of Applied Mechanics 73:282-309, 2003
  
• S. Li and D. C. Simkins Jr., Conserving Galerkin Weak Formulations For Computational Fracture Mechanics, Communications In Numerical Methods In Engineering, 18:835-850, 2002