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A fast numerical homogenization algorithm for finite element analysis
Author(s) -
Morandi Cecchi M.,
Marcuzzi F.
Publication year - 1999
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/(sici)1097-0207(19991210)46:10<1639::aid-nme717>3.0.co;2-k
Subject(s) - homogenization (climate) , discretization , finite element method , computation , numerical analysis , mathematics , numerical linear algebra , partial differential equation , algorithm , algebra over a field , mathematical analysis , pure mathematics , biodiversity , ecology , biology , physics , thermodynamics
A numerical homogenization method is presented here to solve problems governed by partial differential equations with coefficients that are generic functions in R 2 . It consists of a recursive finite elements discretization and an algebraic homogenization. This method takes advantages of speed and memory occupation from the hierarchy of elements and nodes defined by the recursive discretization. It turns out that using the state‐of‐the‐art general linear algebra techniques, all non‐numerical data manipulations that are typically done before real computations, can be avoided. Copyright © 1999 John Wiley & Sons, Ltd.