An algorithm for shape optimization in elliptic systems

DOI10.1016/0021-8928(89)90012-9zbMath0723.73063OpenAlexW2062566747MaRDI QIDQ757156

I. N. Kandoba

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90012-9

zbMATH Keywords

boundary value problemsuccessive approximationselastic homogeneous prismatic rodisoperimetric constraintmaximum torsional rigiditysimply connected cross-sectiontwo-dimensional Euclidean space

Mathematics Subject Classification ID

Related Items (1)

On a method of solving a shape optimization problem in elasticity theory

Cites Work

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• Numerical solution of an optimization problem with unknown boundary
• Determination of the shapes of doubly-connected bar sections of maximum torsional stiffness
• Free boundary optimization - a constructive iterative method
• Heat Flow Inequalities with Applications to Heat Flow Optimization Problems
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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