6533b82cfe1ef96bd128eb48

RESEARCH PRODUCT

3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

Graça CaritaElvira Zappale

subject

Optimal designMathematical optimizationIntegral representationdimension reductionDimensionality reductionGeneral Medicinedimension reduction; optimal designPerimeterNonlinear systemMathematics - Analysis of PDEsDimensional reductionConvergence (routing)FOS: MathematicsApplied mathematicsLimit (mathematics)optimal designDimensional reductionMathematicsAnalysis of PDEs (math.AP)

description

A 3D-2D dimension reduction for a nonlinear optimal design problem with a perimeter penalization is performed in the realm of $\Gamma$-convergence, providing an integral representation for the limit functional.

yearjournalcountryeditionlanguage
2012-01-01
10.1016/j.crma.2012.11.005http://arxiv.org/abs/1211.2560