6533b7dafe1ef96bd126f4d3

RESEARCH PRODUCT

Sensitivity analysis for optimal shape design problems

Pekka NeittaanmäkiKimmo Salmenjoki

subject

Mathematical optimizationControl and OptimizationShape designControl and Systems EngineeringGeneral EngineeringBoundary value problemSensitivity (control systems)Type (model theory)Engineering design processComputer Graphics and Computer-Aided DesignSoftwareComputer Science ApplicationsMathematics

description

Various methods for performing the sensitivity analysis in solving optimal shape design problems are outlined. The methods are illustrated in detail in the finite setting of a unilateral boundary value problem of the Dirichlet-Signorini type. The methods are compared in several numerical examples.

https://doi.org/10.1007/bf01650954