Hoffmann, K.-H.; Sprekels, Jürgen On the identification of coefficients of elliptic problems by asymptotic regularization. (English) Zbl 0576.65121 Numer. Funct. Anal. Optimization 7, 157-177 (1984). The problem of the identification of functional coefficients of elliptic boundary value problems from measured data is considered. A new and interesting method is developed to identify the unknown coefficients without minimization techniques. The original problem is embedded in a family of parabolic evolution equations and the required coefficients matrix is found out to be the weak \(L^ 2\)-limit for \(t\to \infty\). Finite dimensional Galerkin approximations are introduced in order to obtain a computational technique and a similar asymptotic behavior is proved for them. A stability result is also given for the Galerkin approximations. Reviewer: V.Arnăutu (Iaşi) Cited in 13 Documents MSC: 65Z05 Applications to the sciences 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35R30 Inverse problems for PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:identification of coefficients; asymptotic regularization; measured; data; Galerkin approximations; asymptotic behavior; stability × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Alt H. W., Ser. Numer. Math. [2] Chavent G., Third IFAC Symposium, The Hague/Delft (1973) [3] Hoffmann K.-H., Towards the identification of ordinary differential equations from measurements · Zbl 0665.34013 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.