Babuška, Ivo; Schwab, Christoph A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. (English) Zbl 0846.65056 SIAM J. Numer. Anal. 33, No. 1, 221-246 (1996). In a well-written manner, the authors present the boundary value problem of heat conduction in a three-dimensional laminated plate approximated by a hierarchy of two-dimensional models and provide a posteriori indicators and estimators of the modelling imperfection. Reviewer: M.A.Ibiejugba (Ilorin) Cited in 21 Documents MSC: 65N15 Error bounds for boundary value problems involving PDEs 35K05 Heat equation 35J25 Boundary value problems for second-order elliptic equations 65M20 Method of lines for initial value and initial-boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:error estimation; elliptic boundary value problems; heat conduction PDF BibTeX XML Cite \textit{I. Babuška} and \textit{C. Schwab}, SIAM J. Numer. Anal. 33, No. 1, 221--246 (1996; Zbl 0846.65056) Full Text: DOI OpenURL