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Topological derivative — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Topological_derivative
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T15:32:09.303Z
SHA-256 of the archived text: 2f832947950d353f207c4ed00b642095a11b92f18525b1a7dcd5494bcc61e818
Stable URL of this page: https://metraipolis.com/documento/dc_4872bb7cabef

How to cite

Topological derivative — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Topological_derivative (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_4872bb7cabef (Metraipolis archive dc_4872bb7cabef, sha256 2f832947950d353f207c4ed00b642095a11b92f18525b1a7dcd5494bcc61e818)

BibTeX

@misc{dc4872bb7cabef,
  title = {Topological derivative — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Topological_derivative},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_4872bb7cabef; sha256 2f832947950d353f207c4ed00b642095a11b92f18525b1a7dcd5494bcc61e818},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Topological_derivative. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The topological derivative is, conceptually, a derivative of a shape functional with respect to infinitesimal changes in its topology, such as adding an infinitesimal hole or crack. When used in higher dimensions than one, the term topological gradient is also used to name the first-order term of the topological asymptotic expansion, dealing only with infinitesimal singular domain perturbations. It has applications in shape optimization, topology optimization, image processing and mechanical modeling.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Mathematical optimization»).
Fonte: Wikipedia in inglese, voce «Topological derivative» — https://en.wikipedia.org/wiki/Topological_derivative
Wikidata Q7825031 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7825031
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Topological_derivative?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1343613581, consultata il 2026-10-07T15:04:06.909Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 9799d885840ce778f7f771127549ec1f1b4acedc78ef4ab8d07be1603acce1d2