| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622130 | Journal of Mathematical Analysis and Applications | 2007 | 14 Pages |
Abstract
The identification of the nonlinearity a:Rd→Rd in the equation−diva(∇y)=finΩ,y=0on∂Ω, is done in terms of one observation y0∈L2(Ω)y0∈L2(Ω), in a least square sense, by minimizing∫Ω|y−y0|2dx. Here Ω is a bounded domain in RdRd with smooth boundary ∂Ω , f∈L2(Ω)f∈L2(Ω), and a is Lipschitz continuous and strongly elliptic.Numerical simulations and an algorithm based on a splitting method for the one-dimensional case are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M.D. Voisei,