Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint - Amstutz, Samuel; Ciligot–Travain, Marc (SIAM journal on control and optimization, 2010)
Keywords: Calculus of variations and optimal control; Derivatives; Exact sciences and technology; Functionals; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematics; Optimization; Physics; Sciences and techniques of general use; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Studies; Topology; Topology optimization; Geometrical shape; topological derivative; Sensitivity analysis; Cone; shape optimization; Necessary and sufficient condition; Constraint; shape derivative; Multiobjective programming; 35J05; Topology; Partial differential equation; Optimization; Lagrange multiplier; 49K20; Variational calculus; Optimality condition; Optimality criterion; topology optimization; 49Q10