Ontology type: schema:ScholarlyArticle Open Access: True
2009-10-31
AUTHORSJun-ichi Okada, Takumi Washio, Toshiaki Hisada
ABSTRACTA framework for the homogenization of nonlinear problems is discussed with respect to block LU factorization of the micro–macro coupled equation, and based on the relation between the characteristic deformation and the Schur-Complement as the homogenized tangent stiffness. In addition, a couple of approximation methods are introduced to reduce the computational cost, i.e., a simple scheme to reuse the old characteristic deformation and a sophisticated method based on the mode-superposition method developed by our group. Note that these approximation methods satisfy the equilibrium conditions in both scales. Then, using a simplified FE model, the conventional algorithm, a relative algorithm originating from the block LU factorization, and the above-mentioned algorithms with the approximated Schur-Complement are compared and discussed. Finally, a large-scale heart simulation using parallel computation is presented, based on the proposed method. More... »
PAGES247-258
http://scigraph.springernature.com/pub.10.1007/s00466-009-0432-1
DOIhttp://dx.doi.org/10.1007/s00466-009-0432-1
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