Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
A note on reduction of dimension for linear elliptic equations
Ibrahim Aganović
Josip Tambača
Zvonimir Tutek
Abstract
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.
Keywords
Reduction dimension; elliptic equation; formal expansion method; Ansatz
Hrčak ID:
3301
URI
Publication date:
24.5.2006.
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