A Level Set Approach to Optimal Homogenized Coefficients
Dongwoo Sheen1, Sangwon Seo2, Jinwoo Cho3
Department of Mathematics, Seoul National University, Seoul 151-747, Korea. Email: sheen@snu.ac.kr; http://www.nasc.snu.ac.kr
Same as above. Email: swseo@nasc.snu.ac.kr
Same as above. E-mal: jwcho@nasc.snu.ac.kr
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.
Sheen, D., Seo, S., Cho, J. (2003). A Level Set Approach to Optimal Homogenized Coefficients. CMES-Computer Modeling in Engineering & Sciences, 4(1), 21–30. https://doi.org/10.3970/cmes.2003.004.021
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