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- Shape_optimization abstract "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.Topology optimization is, in addition, concerned with the number of connected components/boundaries belonging to the domain. Such methods are needed since typically shape optimization methods work in a subset of allowable shapes which have fixed topological properties, such as having a fixed number of holes in them. Topological optimization techniques can then help work around the limitations of pure shape optimization.".
- Shape_optimization wikiPageExternalLink ~optopo.
- Shape_optimization wikiPageID "1271415".
- Shape_optimization wikiPageLength "10511".
- Shape_optimization wikiPageOutDegree "38".
- Shape_optimization wikiPageRevisionID "700066112".
- Shape_optimization wikiPageWikiLink Boundary_(topology).
- Shape_optimization wikiPageWikiLink Bounded_set.
- Shape_optimization wikiPageWikiLink Category:Mathematical_optimization.
- Shape_optimization wikiPageWikiLink Computer_data_storage.
- Shape_optimization wikiPageWikiLink Constraint_(mathematics).
- Shape_optimization wikiPageWikiLink Deforming_volume.
- Shape_optimization wikiPageWikiLink Diffeomorphism.
- Shape_optimization wikiPageWikiLink Drag_(physics).
- Shape_optimization wikiPageWikiLink Function_(mathematics).
- Shape_optimization wikiPageWikiLink Functional_(mathematics).
- Shape_optimization wikiPageWikiLink Gradient_descent.
- Shape_optimization wikiPageWikiLink Hessian_matrix.
- Shape_optimization wikiPageWikiLink Infinite-dimensional_optimization.
- Shape_optimization wikiPageWikiLink Inverse_problem.
- Shape_optimization wikiPageWikiLink Iterative_method.
- Shape_optimization wikiPageWikiLink Lagrange_multiplier.
- Shape_optimization wikiPageWikiLink Least_squares.
- Shape_optimization wikiPageWikiLink Level_set_method.
- Shape_optimization wikiPageWikiLink Lipschitz_continuity.
- Shape_optimization wikiPageWikiLink Locally_connected_space.
- Shape_optimization wikiPageWikiLink Mathematics.
- Shape_optimization wikiPageWikiLink Maxima_and_minima.
- Shape_optimization wikiPageWikiLink Mesh_morphing.
- Shape_optimization wikiPageWikiLink Numerical_analysis.
- Shape_optimization wikiPageWikiLink Optimal_control.
- Shape_optimization wikiPageWikiLink Pseudosolid.
- Shape_optimization wikiPageWikiLink Radial_basis_function.
- Shape_optimization wikiPageWikiLink Re-meshing.
- Shape_optimization wikiPageWikiLink Shape.
- Shape_optimization wikiPageWikiLink Sphere.
- Shape_optimization wikiPageWikiLink Stress_(mechanics).
- Shape_optimization wikiPageWikiLink Topological_derivative.
- Shape_optimization wikiPageWikiLink Topology_optimization.
- Shape_optimization wikiPageWikiLink Vector_space.
- Shape_optimization wikiPageWikiLink File:Emerging_Shape_Optimization_Families_for_buildings_by_formsolver.jpg.
- Shape_optimization wikiPageWikiLink File:Shape_optimization_for_buildings_by_formsolver.jpg.
- Shape_optimization wikiPageWikiLinkText "Shape optimization".
- Shape_optimization wikiPageWikiLinkText "shape optimization".
- Shape_optimization wikiPageUsesTemplate Template:Reflist.
- Shape_optimization wikiPageUsesTemplate Template:Unordered_list.
- Shape_optimization subject Category:Mathematical_optimization.
- Shape_optimization hypernym Part.
- Shape_optimization type Area.
- Shape_optimization type Area.
- Shape_optimization comment "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.Topology optimization is, in addition, concerned with the number of connected components/boundaries belonging to the domain.".
- Shape_optimization label "Shape optimization".
- Shape_optimization sameAs Q7489239.
- Shape_optimization sameAs Optimisation_de_forme.
- Shape_optimization sameAs m.04n_6x.
- Shape_optimization sameAs Q7489239.
- Shape_optimization wasDerivedFrom Shape_optimization?oldid=700066112.
- Shape_optimization isPrimaryTopicOf Shape_optimization.