The DOI matches its Crossref record; 108 of the 108 references it cites were found in a registry or an index.
Level-set methods for structural topology optimization: a review
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Osher, S., & Sethian, J. A. (1988) · Journal of Computational Physics · doi:10.1016/0021-9991(88)90002-2 · Cited by 14,062
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
The method of moving asymptotes—a new method for structural optimization
Svanberg, K. (1987) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.1620240207 · Cited by 5,573
Brooks, A. N., & Hughes, T. J. R. (1982) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(82)90071-8 · Cited by 5,332
Level Set Methods and Dynamic Implicit Surfaces
Osher, S., & Fedkiw, R. (2003) · Applied Mathematical Sciences · doi:10.1007/b98879 · Cited by 4,951
Optimal shape design as a material distribution problem
Bendsøe, M. P. (1989) · Structural Optimization · doi:10.1007/bf01650949 · Cited by 4,521
Sethian, J. A. (1999) · Cited by 3,622
A level set method for structural topology optimization
Wang, M. Y., Wang, X., & Guo, D. (2003) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(02)00559-5 · Cited by 3,232
Shape modeling with front propagation: a level set approach
Malladi, R., Sethian, J. A., & Vemuri, B. C. (1995) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.368173 · Cited by 3,158
Material interpolation schemes in topology optimization
Bendsøe, M. P., & Sigmund, O. (1999) · Archive of Applied Mechanics (Ingenieur Archiv) · doi:10.1007/s004190050248 · Cited by 2,827
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
Mechanical Metamaterials and Their Engineering Applications
Surjadi, J. U., Gao, L., Du, H., Li, X., Xiong, X., Fang, N. X., & Lu, Y. (2019) · Advanced Engineering Materials · doi:10.1002/adem.201800864 · Cited by 982
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
Multifunctional Mechanical Metamaterials Based on Triply Periodic Minimal Surface Lattices
Al-Ketan, O., & Abu Al-Rub, R. K. (2019) · Advanced Engineering Materials · doi:10.1002/adem.201900524 · Cited by 887
Metadata
- Authors
- van Dijk, N. P., Maute, K., Langelaar, M., & van Keulen, F.
- Venue
- Structural and Multidisciplinary Optimization
- Published
- 2013-03-23
- Volume
- 48
- Issue
- 3
- Pages
- 437-472
- ISSN
- 1615-147X (ISSN-L)
- 1615-1488
- OpenAlex
- W2020003164
- Cited by
- 1,008
- References
- 108
- FWCI
- 99.38
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Level-set methods for structural topology optimization: a review. https://app.cochat.ai/papers/10.1007/s00158-013-0912-y
- The paper
- van Dijk, N. P., Maute, K., Langelaar, M., & van Keulen, F. (2013). Level-set methods for structural topology optimization: a review. Structural and Multidisciplinary Optimization. https://doi.org/10.1007/s00158-013-0912-y
Data sources
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.
