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Shape optimization

Shape optimization is part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a certain cost functional while satisfying given constraints. In many cases, the functional being solved depends on the solution of a given partial differential equation defined on the variable domain.

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  • ISBN ISBN (identifier)

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Shape optimization

Nodes42
Edges41
Triples96
Avg. degree1.95
Density0.047619
Components1

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Shape optimization

Top relations

related to Sources · 57
Shape optimization → Allaire, Anal, Analysis, Applications, Applied Mathematic, Applied Mathematical Sciences, Applied Mathematics, Applied Shape Optimization, Approximation, Belegundu, Bendsøe, Birkhäuser, Burger, Chandrupatla, Computation, Delfour, Differential Calculus, Differentiation, Engineering Prentice Hall, European Journal
related to Geometry parametrization · 15
Shape optimization → CAD, CAE, CFD, FEA, In, Mesh, Most, NSGA II, Pareto, Shape, Such, The, The GA, There, Therefore
related to Examples · 8
Shape optimization → Among, Area, Find, Given, Here, Omega, The, Volume
related to Keeping track of the shape · 7
Shape optimization → For, Lagrangian, One, Several, Then, This, To
related to Definition · 2
Shape optimization → Mathematically, Omega
related to Techniques · 2
Shape optimization → Shape, That
is a · 1
Shape optimization → infinite-dimensional optimization problem
part of · 1
Shape optimization → the field of optimal control theory

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Important terminology

shape optimization one problem boundary function methods approach functional using isbn displaystyle find given omega parametrization constraints mathcal method defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Shape optimizationis ainfinite-dimensional optimization problem0.90text
Shape optimizationpart ofthe field of optimal control theory0.85text
discontinuities in the computed objectiveinstance ofMesh morphing is a valid choice for complex problems that resolves typical issues associated with re-meshing0.80text
constraint functions.In this case the parametrization is defined after the meshing stage acting directly on the numerical model used for calculation that is changed using mesh updating methodsinstance ofMesh morphing is a valid choice for complex problems that resolves typical issues associated with re-meshing0.80text
the effect of area constraint that other multi-objective optimization cannot declare itinstance ofthe Pareto optimization approach displays useful advantages in design method0.80text
Shape optimizationrelated to DefinitionMathematically0.60section
Shape optimizationrelated to DefinitionOmega0.60section
Shape optimizationrelated to ExamplesAmong0.60section
Shape optimizationrelated to ExamplesHere0.60section
Shape optimizationrelated to ExamplesArea0.60section
Shape optimizationrelated to ExamplesOmega0.60section
Shape optimizationrelated to ExamplesVolume0.60section

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