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Computational Analysis of Structured Media
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Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. Computational methodology for main classes of problems in structured mediaTheory of Representative Volume ElementCombines exact results, Monte-Carlo simulations and Resummation techniques under one umbrellaContains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations
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