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The hp‐d version of the finite cell method with local enrichment for multiscale problems
Author(s) -
Joulaian Meysam,
Düster Alexander
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310125
Subject(s) - homogenization (climate) , computation , partition of unity , partition (number theory) , domain decomposition methods , computer science , mathematics , algorithm , finite element method , mathematical optimization , physics , thermodynamics , combinatorics , biology , biodiversity , ecology
The finite cell method is extended to enable the computation of solids consisting of heterogeneous materials. The approach is based on a domain decomposition utilizing the hp‐d method. Our results reveal that the proposed method improves the accuracy of the finite cell method significantly. It also paves the way for combining the finite cell method with other approaches like partition of unity based methods which can be of interest in many cases, such as dealing with composites and numerical homogenization. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)