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Method of fundamental solutions — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Method_of_fundamental_solutions
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T17:23:22.330Z
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Method of fundamental solutions — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Method_of_fundamental_solutions (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_81145dec76be (Metraipolis archive dc_81145dec76be, sha256 ebb71b05c159e97348ab4f33450c2182a938b3b95352fe30497b6c9e7f03c89e)

BibTeX

@misc{dc81145dec76be,
  title = {Method of fundamental solutions — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Method_of_fundamental_solutions},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_81145dec76be; sha256 ebb71b05c159e97348ab4f33450c2182a938b3b95352fe30497b6c9e7f03c89e},
  year = {2026}
}

Archived text

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

In scientific computation and simulation, the method of fundamental solutions (MFS) is a technique for solving partial differential equations based on using the fundamental solution as a basis function. The MFS was developed to overcome the major drawbacks in the boundary element method (BEM) which also uses the fundamental solution to satisfy the governing equation. Consequently, both the MFS and the BEM are of a boundary discretization numerical technique and reduce the computational complexity by one dimensionality and have particular edge over the domain-type numerical techniques such as the finite element and finite volume methods on the solution of infinite domain, thin-walled structures, and inverse problems. In contrast to the BEM, the MFS avoids the numerical integration of singular fundamental solution and is an inherent meshfree method. The method, however, is compromised by requiring a controversial fictitious boundary outside the physical domain to circumvent the singularity of fundamental solution, which has seriously restricted its applicability to real-world problems. But nevertheless the MFS has been found very competitive to some application areas such as infinite domain problems. The MFS is also known by different names in the literature, including the charge simulation method, the superposition method, the desingularized method, the indirect boundary element method and the virtual boundary element method.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Numerical analysis»).
Fonte: Wikipedia in inglese, voce «Method of fundamental solutions» — https://en.wikipedia.org/wiki/Method_of_fundamental_solutions
Wikidata Q6823714 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q6823714
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Method_of_fundamental_solutions?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 1371011975, consultata il 2026-10-07T16:54:32.475Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: f85e04a592119a001a29b5fdf9435d64082c2be408b7a2ad78d8ad90cb2455b3