title: Free Mesh Method: fundamental conception, algorithms and accuracy study.
abstract: The finite element method (FEM) has been commonly employed in a variety of fields as a computer simulation method to solve such problems as solid, fluid, electro-magnetic phenomena and so on. However, creation of a quality mesh for the problem domain is a prerequisite when using FEM, which becomes a major part of the cost of a simulation. It is natural that the concept of meshless method has evolved. The free mesh method (FMM) is among the typical meshless methods intended for particle-like finite element analysis of problems that are difficult to handle using global mesh generation, especially on parallel processors. FMM is an efficient node-based finite element method that employs a local mesh generation technique and a node-by-node algorithm for the finite element calculations. In this paper, FMM and its variation are reviewed focusing on their fundamental conception, algorithms and accuracy.
authors.affiliation: The University of Tokyo, Tokyo, Japan. yagawag@gmail.com
authors.forename: Genki
authors.initials: G
authors.lastname: Yagawa
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D020342:Finite Element Analysis