The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
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Citations
Cites
Generating optimal topologies in structural design using a homogenization method
Bendsøe, M. P., & Kikuchi, N. (1988) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(88)90086-2 · Cited by 7,467
Optimal shape design as a material distribution problem
Bendsøe, M. P. (1989) · Structural Optimization · doi:10.1007/bf01650949 · Cited by 4,521
The COC algorithm, Part II: Topological, geometrical and generalized shape optimization
Zhou, M., & Rozvany, G. I. N. (1991) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(91)90046-9 · Cited by 1,812
On the Design of Compliant Mechanisms Using Topology Optimization*
Sigmund, O. (1997) · Mechanics of Structures and Machines · doi:10.1080/08905459708945415 · Cited by 1,384
Self-citationOptimization of Structural Topology, Shape, and Material
Bendsøe, M. P. (1995) · Springer eBooks · doi:10.1007/978-3-662-03115-5 · Cited by 1,362
Design of materials with extreme thermal expansion using a three-phase topology optimization method
Sigmund, O., & Torquato, S. (1997) · Journal of the Mechanics and Physics of Solids · doi:10.1016/s0022-5096(96)00114-7 · Cited by 1,054
Self-citationCheckerboard patterns in layout optimization
Díaz, A., & Sigmund, O. (1995) · Structural and Multidisciplinary Optimization · doi:10.1007/bf01743693 · Cited by 606
Self-citationA new approach to variable-topology shape design using a constraint on perimeter
Haber, R. B., Jog, C. S., & Bends�e, M. P. (1996) · Structural and Multidisciplinary Optimization · doi:10.1007/bf01279647 · Cited by 503
Slope constrained topology optimization
Petersson, J., & Sigmund, O. (1998) · International Journal for Numerical Methods in Engineering · doi:10.1002/(sici)1097-0207(19980430)41:8<1417::aid-nme344>3.0.co;2-n · Cited by 347
Self-citationStability of finite element models for distributed-parameter optimization and topology design
Jog, C. S., & Haber, R. B. (1996) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(95)00928-0 · Cited by 319
Cited by
Topology optimization approaches: A comparative review
Sigmund, O., & Maute, K. (2013) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-013-0978-6 · Cited by 2,890
Self-citationInverse design in nanophotonics
Molesky, S., Lin, Z., Piggott, A. Y., Jin, W., Vucković, J., & Rodriguez, A. W. (2018) · Nature Photonics · doi:10.1038/s41566-018-0246-9 · Cited by 1,818
Topology Optimization in Aircraft and Aerospace Structures Design
Zhu, J.-H., Zhang, W.-H., & Xia, L. (2016) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-015-9151-2 · Cited by 980
Topology optimization for nano‐photonics
Jensen, J. S., & Sigmund, O. (2011) · Laser & Photonics Reviews · doi:10.1002/lpor.201000014 · Cited by 767
Self-citationFrom Topology Optimization Design to Additive Manufacturing: Today’s Success and Tomorrow’s Roadmap
Meng, L., Zhang, W., Quan, D., Shi, G., Tang, L., Hou, Y., Breitkopf, P., Zhu, J., & Gao, T. (2020) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-019-09331-1 · Cited by 402
Metadata
- Authors
- Sigmund, O., & Petersson, J.
- Venue
- Structural Optimization
- Published
- 1998-08
- Volume
- 16
- Issue
- 1
- Pages
- 68-75
- ISSN
- 1615-147X (ISSN-L)
- 0934-4373
- 1615-1488
- OpenAlex
- W2158862486
- Cited by
- 2,118
- References
- 19
- FWCI
- 102.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. https://app.cochat.ai/papers/10.1007/bf01214002
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- Sigmund, O., & Petersson, J. (1998). Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Structural Optimization. https://doi.org/10.1007/bf01214002
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
