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

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.

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
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