DOI: 10.1007/s00158-014-1190-z. Matlab code for a level set-based topology optimization method using a reaction diffusion equation

Matlab code for a level set-based topology optimization method using a reaction diffusion equation

10.1007/s00158-014-1190-z

Crossref journal-article

Springer Science and Business Media LLC

Structural and Multidisciplinary Optimization (297)

Bibliography

Otomori, M., Yamada, T., Izui, K., & Nishiwaki, S. (2014). Matlab code for a level set-based topology optimization method using a reaction diffusion equation. Structural and Multidisciplinary Optimization, 51(5), 1159â1172.

Authors 4

Masaki Otomori (first)
Takayuki Yamada (additional)
Kazuhiro Izui (additional)
Shinji Nishiwaki (additional)

References 18 Referenced 165

Allaire G (2002) Shape optimization by the homogenization method. Vol. 146 of applied mathematical sciences. Springer, New York (10.1007/978-1-4684-9286-6) / Shape optimization by the homogenization method. Vol. 146 of applied mathematical sciences by G Allaire (2002)
Allaire G, Pantz O (2006) Structural optimization with FreeFem++. Struct Multidiscipl Optim 32:173–181 (10.1007/s00158-006-0017-y) / Struct Multidiscipl Optim by G Allaire (2006)
Allaire G, Jouve F, Toader AM (2002) A level-set method for shape optimization. C R Acad Sci Paris Ser I 334:1125–1130 (10.1016/S1631-073X(02)02412-3) / C R Acad Sci Paris Ser I by G Allaire (2002)
Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comp Phys 194:363–393 (10.1016/j.jcp.2003.09.032) / J Comp Phys by G Allaire (2004)
Allaire G, de Gournay F, Jouve F, Toader AM (2005) Structural optimization using topological and shape sensitivity via a level set method. Control Cybern 34:59–80 / Control Cybern by G Allaire (2005)
Andreassen E, Clausen A, Schevenels M, Lazarov BS, Sigmund O (2011) Efficient topology optimization in MATLAB using 88 lines of code. Struct Multidiscipl Optim 43:1–16 (10.1007/s00158-010-0594-7) / Struct Multidiscipl Optim by E Andreassen (2011)
Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197–224 (10.1016/0045-7825(88)90086-2) / Comput Methods Appl Mech Eng by MP Bendsøe (1988)
Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Multidiscipl Optim 1:193–202 (10.1007/BF01650949) / Struct Multidiscipl Optim by MP Bendsøe (1989)
Challis VJ (2010) A discrete level-set topology optimization code written in Matlab. Struct Multidisc Optim 41:453–464 (10.1007/s00158-009-0430-0) / Struct Multidisc Optim by VJ Challis (2010)
Eschenauer HA, Kobelev VV, Schumacher A (1994) Bubble method for topology and shape optimization of structures. Struct Multidisc Optim 8:42–51 (10.1007/BF01742933) / Struct Multidisc Optim by HA Eschenauer (1994)
Howell HH (2001) Compliant mechanisms. Wiley
Guzina BB, Bonnet M (2004) Topological derivative for the inverse scattering of elastic waves. Q J Mech Appl Math 57 (2):161–179 (10.1093/qjmam/57.2.161) / Q J Mech Appl Math by BB Guzina (2004)
Lurie AI, Belyaev A (2005) Theory of elasticity. Springer, New York (10.1007/978-3-540-26455-2) / Theory of elasticity by AI Lurie (2005)
Nishiwaki S, Frecker MI, Min S, Kikuchi N (1998) Topology optimization of compliant mechanisms using the homogenization method. Int J Numer Methods Eng 535–559 (10.1002/(SICI)1097-0207(19980615)42:3<535::AID-NME372>3.0.CO;2-J)
Osher SJ, Sethian JA (1988) Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79:12–49 (10.1016/0021-9991(88)90002-2) / J Comput Phys by SJ Osher (1988)
Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidisc Optim 21:120–127 (10.1007/s001580050176) / Struct Multidisc Optim by O Sigmund (2001)
Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227–246 (10.1016/S0045-7825(02)00559-5) / Comput Methods Appl Mech Eng by MY Wang (2003)
Yamada T, Izui K, Nishiwaki S, Takezawa A (2010) A topology optimization method based on the level set method incorporating a fictitious interface energy. Comput Methods Appl Mech Eng 199:2876–2891 (10.1016/j.cma.2010.05.013) / Comput Methods Appl Mech Eng by T Yamada (2010)

Dates

Type	When
Created	10 years, 9 months ago (Nov. 21, 2014, 6:21 a.m.)
Deposited	6 years, 3 months ago (May 23, 2019, 3:41 p.m.)
Indexed	1 week, 1 day ago (Aug. 24, 2025, 6:49 p.m.)
Issued	10 years, 9 months ago (Nov. 19, 2014)
Published	10 years, 9 months ago (Nov. 19, 2014)
Published Online	10 years, 9 months ago (Nov. 19, 2014)
Published Print	10 years, 4 months ago (May 1, 2015)

Funders 0

None

BibTeX

@article{Otomori_2014, title={Matlab code for a level set-based topology optimization method using a reaction diffusion equation}, volume={51}, ISSN={1615-1488}, url={http://dx.doi.org/10.1007/s00158-014-1190-z}, DOI={10.1007/s00158-014-1190-z}, number={5}, journal={Structural and Multidisciplinary Optimization}, publisher={Springer Science and Business Media LLC}, author={Otomori, Masaki and Yamada, Takayuki and Izui, Kazuhiro and Nishiwaki, Shinji}, year={2014}, month=nov, pages={1159–1172} }

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