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An improvement to the workflow used in modeling boundary-value problems in complex materials, which allows for reducing computational time by the factor of 5 while maintaining comparable quality of the solution is proposed in this paper. After formulating the main goals of the paper, a review of the state-of-the-art techniques used for generating a digital material representation is presented. This is followed by a description of the procedure for solving boundary-value problems and finding a representation of a given microstructure in a desired functional base. Finally, we showcase how to combine these techniques to obtain mentioned significant calculation speedup. Developed approach is validated during investigation of a selected case study, which is modeling of a linear elastic deformation of a dual phase ferritic-martensitic steel under thermal loading conditions. [ABSTRACT FROM AUTHOR]