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Shape and material parameters sensitivity analysis in quasi-harmonic problems. (English) Zbl 0890.49018

The author formulates a quasi-harmonic boundary-value problem within an anisotropic domain. Then, for an arbitrary functional, its first-order sensitivities with respect to variation of domain shape and material parameters are obtained, making use of both direct and adjoint approaches.

MSC:

49Q12 Sensitivity analysis for optimization problems on manifolds
49Q10 Optimization of shapes other than minimal surfaces
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