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A self‐adaptive fe system based on recursive spatial decomposition and multigrid analysis
Author(s) -
Pressburger Yoram,
Perucchio Renato
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620380809
Subject(s) - decomposition , multigrid method , finite element method , computer science , homogeneous , boundary (topology) , algorithm , mathematics , engineering , structural engineering , partial differential equation , mathematical analysis , ecology , combinatorics , biology
This paper introduces an automatic self‐adaptive finite element system for 3‐D stress analysis of homogeneous elastic solids described in a Solid Modelling System (SMS). This system reduces the role of the analyst into two basic tasks: defining the problem (i.e. geometry, material properties and boundary conditions) and specifying the desired accuracy in the analysis. The approach followed in this work is based on Recursive Spatial Decomposition (RSD) of solids defined in a SMS. The system includes procedures for meshing, analysis, error estimation, and adaptive remeshing and reanalysis. The various procedures share the same hierarchical data structure built on the RSD.