A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D

Compact and efficient Matlab implementations of compliance topology optimization (TO) for 2D and 3D continua are given, consisting of 99 and 125 lines respectively. On discretizations ranging from 3 ⋅ 10 4 to 4.8 ⋅ 10 5 elements, the 2D version, named top99neo, shows speedups from 2.55 to 5.5 times...

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Vydáno v:	Structural and multidisciplinary optimization Ročník 62; číslo 4; s. 2211 - 2228
Hlavní autoři:	Ferrari, Federico, Sigmund, Ole
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Témata:	Computational Mathematics and Numerical Analysis Educational Paper Engineering Engineering Design Theoretical and Applied Mechanics Topology optimization Acceleration methods Computational efficiency Matlab
ISSN:	1615-147X, 1615-1488
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Abstract	Compact and efficient Matlab implementations of compliance topology optimization (TO) for 2D and 3D continua are given, consisting of 99 and 125 lines respectively. On discretizations ranging from 3 ⋅ 10 4 to 4.8 ⋅ 10 5 elements, the 2D version, named top99neo, shows speedups from 2.55 to 5.5 times compared to the well-known top88 code of Andreassen et al. (Struct Multidiscip Optim 43(1):1–16, 2011 ). The 3D version, named top3D125, is the most compact and efficient Matlab implementation for 3D TO to date, showing a speedup of 1.9 times compared to the code of Amir et al. (Struct Multidiscip Optim 49(5):815–829, 2014 ), on a discretization with 2.2 ⋅ 10 5 elements. For both codes, improvements are due to much more efficient procedures for the assembly and implementation of filters and shortcuts in the design update step. The use of an acceleration strategy, yielding major cuts in the overall computational time, is also discussed, stressing its easy integration within the basic codes.
AbstractList	Compact and efficient Matlab implementations of compliance topology optimization (TO) for 2D and 3D continua are given, consisting of 99 and 125 lines respectively. On discretizations ranging from 3 ⋅ 10 4 to 4.8 ⋅ 10 5 elements, the 2D version, named top99neo, shows speedups from 2.55 to 5.5 times compared to the well-known top88 code of Andreassen et al. (Struct Multidiscip Optim 43(1):1–16, 2011 ). The 3D version, named top3D125, is the most compact and efficient Matlab implementation for 3D TO to date, showing a speedup of 1.9 times compared to the code of Amir et al. (Struct Multidiscip Optim 49(5):815–829, 2014 ), on a discretization with 2.2 ⋅ 10 5 elements. For both codes, improvements are due to much more efficient procedures for the assembly and implementation of filters and shortcuts in the design update step. The use of an acceleration strategy, yielding major cuts in the overall computational time, is also discussed, stressing its easy integration within the basic codes.
Author	Sigmund, Ole Ferrari, Federico
Author_xml	– sequence: 1 givenname: Federico orcidid: 0000-0003-3863-6621 surname: Ferrari fullname: Ferrari, Federico email: fferrar3@jh.edu organization: Department of Mechanical Engineering, Technical University of Denmark – sequence: 2 givenname: Ole surname: Sigmund fullname: Sigmund, Ole organization: Department of Mechanical Engineering, Technical University of Denmark
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Snippet	Compact and efficient Matlab implementations of compliance topology optimization (TO) for 2D and 3D continua are given, consisting of 99 and 125 lines...
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Title	A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D
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