USNCCM-11 Minisymposium: Meshfree and Generalized/Extended Finite Element Methods

11th US National Congress on Computational Mechanics

July 25-29, 2011. Minneapolis, MN

A mini-symposium on Meshfree and Generalized/Extended Finite Element Methods

Abstract submission deadline: January 31, 2011 (minisymposium 3.5)

Call for papers

Meshfree and Generalized/Extended Finite Element methods have undergone substantial development and have received much attention since mid 1990's. The two workshops of this subject have been held at University of Maryland in 2005 and 2009, and new and emerging issues of Meshfree and Generalized/Extended Finite Element methods have been identified. This symposium aims to promote collaboration among engineers, mathematicians, computer scientists, and national laboratory and industrial researchers to address development, mathematical analysis, and application of Meshfree and Generalized/Extended Finite Element methods. While contributions in all aspects of meshfree methods are invited, topics with particular interests are:

• identification of classes of problems for which Meshfree Methods or Generalized /Extended Finite Element Methods are clearly superior to classical methods;
• problems of higher dimensionality (four or greater), e.g., truly ab initio solutions of the Schroedinger equations for many particle systems, Fokker-Planck equations and other stochastic problems;
• problems with many discontinuities and singularities, e.g., fracture mechanics and fragmentation, modeling of phase changes and motion of phase boundaries, dislocation modeling for anisotropic, nonlinear and problems with complex geometry;
• quadrature issues: accuracy, stability, effects of numerical integration for stiffness/force/source terms, numerical integration for enrichment functions, integration of error norms, a posteriori error estimation including the effects of numerical quadrature;
• error analysis for Meshfree Methods or Generalized /Extended Finite Element Methods with enrichment;
• non-Galerkin type approach: strong form with collocation, Petrov-Galerkin, mixed formulation;
• local (such as moving least-squares, reproducing kernel) approximations vs. nonlocal (such as radial basis functions) approximation, new approximation functions;
• benchmark problems for comparison of different numerical methods in terms of solvability, accuracy, and efficiency;
• mathematical analysis of stability and consistency (and thus convergence) of meshfree methods in hyperbolic problems;
• coupling of different numerical methods.

Organizers:

J.S. Chen, University of California, Los Angeles, USA

Ivo Babuska, The University of Texas at Austin, USA

Uday Banerjee, Syracuse University, USA

Ted Belytschko, Northwestern University, USA

C. Armando Duarte, University of Illinois at Urbana-Champaign, USA

Hsin-Yun Hu, Tunghai University, Taiwan

John Osborn, University of Maryland, USA

Angelo Simone, Delft University of Technology, The Netherlands