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A note on reduction of dimension for linear elliptic equations

Ibrahim Aganović
Josip Tambača
Zvonimir Tutek

Puni tekst: engleski, pdf (381 KB) str. 77-88 preuzimanja: 307* citiraj
APA 6th Edition
Aganović, I., Tambača, J. i Tutek, Z. (2006). A note on reduction of dimension for linear elliptic equations. Glasnik matematički, 41 (1), 77-88. Preuzeto s https://hrcak.srce.hr/3301
MLA 8th Edition
Aganović, Ibrahim, et al. "A note on reduction of dimension for linear elliptic equations." Glasnik matematički, vol. 41, br. 1, 2006, str. 77-88. https://hrcak.srce.hr/3301. Citirano 17.10.2021.
Chicago 17th Edition
Aganović, Ibrahim, Josip Tambača i Zvonimir Tutek. "A note on reduction of dimension for linear elliptic equations." Glasnik matematički 41, br. 1 (2006): 77-88. https://hrcak.srce.hr/3301
Harvard
Aganović, I., Tambača, J., i Tutek, Z. (2006). 'A note on reduction of dimension for linear elliptic equations', Glasnik matematički, 41(1), str. 77-88. Preuzeto s: https://hrcak.srce.hr/3301 (Datum pristupa: 17.10.2021.)
Vancouver
Aganović I, Tambača J, Tutek Z. A note on reduction of dimension for linear elliptic equations. Glasnik matematički [Internet]. 2006 [pristupljeno 17.10.2021.];41(1):77-88. Dostupno na: https://hrcak.srce.hr/3301
IEEE
I. Aganović, J. Tambača i Z. Tutek, "A note on reduction of dimension for linear elliptic equations", Glasnik matematički, vol.41, br. 1, str. 77-88, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3301. [Citirano: 17.10.2021.]

Sažetak
In this paper we consider the linear elliptic equation of the second order in domains in Rn thin in n - k directions, 0 < k < n. We apply the Ansatz of the formal expansion method (with respect to the small parameter (thickness)) which implies the scaling of the loads in the equation that allows the reduction of the problem from dimension n to dimension k. Appropriate convergence result together with correctors is derived.

Ključne riječi
Reduction dimension; elliptic equation; formal expansion method; Ansatz

Hrčak ID: 3301

URI
https://hrcak.srce.hr/3301

Posjeta: 529 *