Some Remarks on Free Mesh Method: A Kind of Meshless Finite Element Method
To efficiently simulate complicated physical phenomena with dynamics and non-linearity using computational mechanics, distributed parallel processing techniques for large-scale finite element analyses and adaptive analysis techniques, which modify finite element models dynamically according to posteriori error estimation, are strongly needed. To implement an analysis system, which has the above mentioned capabilities, such kinds of techniques as mesh generation, domain decomposition for load balancing, finite element analysis, posteriori error estimation and remeshing, should be integrated into a system on a distributed parallel environment such as massively parallel processor (MPP). This, however, would make the finite element analysis system too complicated.
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