A Posteriori Error Estimation for Hierarchic Models of Elliptic Boundary Value Problems on Thin Domains
Ivo M. Babuska, C. William Schwab · SIAM Journal on Numerical Analysis · 1996
The boundary value problem of heat conduction in a three-dimensional laminated plate is approximated by a hierarchy of two-dimensional models. Computable a posteriors indicators and estimators of the modeling error in various norms are derived and their local spectral and asymptotic exactness is proved. Sharp estimates for their effectivity indices are also obtained.