Minisymposium in Memory of Ted Belytschko: Advances in Meshfree, Particle, XFEM, GFEM, and Related Methods

Stéphane P.A. Bordas, University of Luxembourg
J. S. Chen, University of California, San Diego
Zhen Chen, University of Missouri
Armando Duarte, University of Illinois at Urbana-Champaign
John Foster, University of Texas, Austin
Jack S. Hale, University of Luxembourg
Xikui Li, Dalian University of Technology
Wing Kam Liu, Northwestern University
Nicolas Moes, Ecole Centrale of Nantes
Timon Rabczuk, Bauhaus-Universität Weimar
Marc Alexander Schweitzer, University of Bonn
Dongdong Wang, Xiamen University
C. T. Wu, LSTC

This minisymposium is organized in memory of Professor Ted Belytschko’s pioneering work in the development and application of meshfree method, particle method, extended finite element method, and other related methods. Presentations are solicited in all the subtopics related to the meshfree, particle, XFEM, GFEM, and related methods, which include but are not limited to the following:

  • Generalized finite difference method
  • Smoothed particle hydrodynamics
  • Galerkin meshfree method such as Element Free Gakerkin method and Reproducing Kernel Particle Method
  • Generalized/Extended finite element methods
  • Material point method
  • Strong form collocation meshfree method
  • Discrete element method
  • Peridynamics
  • Unfitted methods for free boundary problems
  • Geometry-independent field approximations
  • Methods related to alleviating the mesh-burden in computational mechanics
  • Advanced numerical integration techniques
  • Benchmark problems for comparison of different numerical methods in terms of solvability, accuracy, and efficiency
  • Identification of classes of problems for which meshfree, particle and other related method are clearly superior to classical methods