A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. (English) Zbl 0846.65056

Babuška, Ivo; Schwab, Christoph

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)

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