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1 – 1 of 1Dirlei Ruscheinsky, Fernando Carvalho, Carla Anflor and Andre Antonio Novotny
The purpose of this study is sensitivity analysis of the L2-norm and H1-seminorm of the solution of a diffusive–convective–reactive problem to topological changes of the…
Abstract
Purpose
The purpose of this study is sensitivity analysis of the L2-norm and H1-seminorm of the solution of a diffusive–convective–reactive problem to topological changes of the underlying material.
Design/methodology/approach
The topological derivative method is used to devise a simple and efficient topology design algorithm based on a level-set domain representation method.
Findings
Remarkably simple analytical expressions for the sensitivities are derived, which are useful for practical applications including heat exchange topology design and membrane eigenvalue maximization.
Originality/value
The topological asymptotic expansion associated with a diffusive–convective–reactive equation is rigorously derived, which is not available in the literature yet.
Details