Open Access

ARTICLE

A Level Set Approach to Optimal Homogenized Coefficients

Dongwoo Sheen¹, Sangwon Seo², Jinwoo Cho³
1 Department of Mathematics, Seoul National University, Seoul 151-747, Korea. Email: sheen@snu.ac.kr; http://www.nasc.snu.ac.kr
2 Same as above. Email: swseo@nasc.snu.ac.kr
3 Same as above. E-mal: jwcho@nasc.snu.ac.kr

Computer Modeling in Engineering & Sciences 2003, 4(1), 21-30. https://doi.org/10.3970/cmes.2003.004.021

Abstract

The reconstructing optimal microstructures of given homogenized coefficients of steady diffusion equation is studied. In the reconstruction, the governing equation of level set function is approximated by adding viscosity term and the numerical procedure for the evolution of the level set function for the solution is examined. The numerical experiments of reconstruction are obtained by applying a finite element method with locally fitted mesh.

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Keywords

Homogenization, level set, reconstruction, locally fitted mesh

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