6533b829fe1ef96bd128a2b6

RESEARCH PRODUCT

Optimization of conducting structures by using the homogenization method

J. HaslingerTommi KärkkäinenA. HillebrandM. Miettinen

subject

Well-posed problemMathematical optimizationControl and OptimizationOptimization problemNumerical analysisControl variableThermal conductionComputer Graphics and Computer-Aided DesignHomogenization (chemistry)Computer Science ApplicationsControl and Systems EngineeringHeat transferApplied mathematicsEngineering design processSoftwareMathematics

description

Approximation and numerical realization of a class of optimization problems with control variables represented by coefficients of linear elliptic state equations is considered. Convergence analysis of well-posed problems is performed by using one- and two-level approximation strategies. The latter is utilized in an optimization layout problem for two conductive constituents, for which the necessary steps to transfer the well-posed problem into a computational form are described and some numerical experiments are given.

yearjournalcountryeditionlanguage
2002-09-01Structural and Multidisciplinary Optimization
https://doi.org/10.1007/s00158-002-0223-1