Study of efficient homogenization algorithms for nonlinear problems View Full Text


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Article Info

DATE

2009-10-31

AUTHORS

Jun-ichi Okada, Takumi Washio, Toshiaki Hisada

ABSTRACT

A 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... »

PAGES

247-258

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00466-009-0432-1

DOI

http://dx.doi.org/10.1007/s00466-009-0432-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013199262


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