Geodesic
Quality criteria and algorithm for selecting reduced finite element models for technical design monitoring
Matematičeskoe modelirovanie i čislennye metody (2016), pp. 103-121.

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The article centers on developing the models of complex engineering structures for monitoring their operational status. In order to organize effective monitoring of the structures state, we often need to restore the state parameters values according to the measuremen tresults and use monitoring object models. The study suggests using a model built by calculation and reduced to small size. Among the state parameters there may be either load values and their combinations on which direct restrictions are imposed, or limit states defined by their values. The work proposes both criteria for assessing the quality of the reduced model, and an efficient algorithm for searching them.
Keywords: identification parameters, finite element method, linear systems, strength monitoring, reduced model. 
@article{MMCM_2016_a6,
     author = {I. A. Meschikhin and S. S. Gavryushin},
     title = {Quality criteria and algorithm for selecting reduced finite element models for technical design monitoring},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {103--121},
     publisher = {mathdoc},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2016_a6/}
}
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I. A. Meschikhin; S. S. Gavryushin. Quality criteria and algorithm for selecting reduced finite element models for technical design monitoring. Matematičeskoe modelirovanie i čislennye metody (2016), pp. 103-121. http://geodesic.mathdoc.fr/item/MMCM_2016_a6/