Applications of one-shot methods in PDEs constrained shape optimization

DOI10.1016/j.matcom.2009.09.010zbMath1181.65095OpenAlexW1983433377MaRDI QIDQ2654365

Svetozara I. Petrova

Publication date: 15 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.09.010

zbMATH Keywords

numerical exampleshomogenizationshape optimizationacoustic wavesone-shot methodlarge-scale nonlinear programmingNewton solveractive microfluidic biochipsmicrostructural biomorphic ceramic materialspath-following predictor-corrector strategyprimal-dual interior-point approach

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Interior-point methods (90C51) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

A parallel two-level domain decomposition based one-shot method for shape optimization problems

Uses Software

• NewtonLib

Cites Work

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