About: Optimization of shapes other than minimal surfaces

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Applications of mathematical programming
skos:inScheme	MSC 2010
broader concept	Manifolds
skos:prefLabel	Ottimizzazione di forme diverse dalle superfici minimali 形状而非极小曲面的最优化 Optimization of shapes other than minimal surfaces
skos:exactMatch	http://msc2010.org/resources/MSC/2000/49Q10
skos:altLabel	Optimization of shapes other than minimal surfaces [See also 90C90] Ottimizzazione di forme diverse dalle superfici minimali [Vedi anche 90C90] 形状而非极小曲面的最优化[参见90C90]
http://msc2010.org...0/msc2010#seeAlso	Applications of mathematical programming
skos:closeMatch	from MSC1991 value of: Optimization of the shape other than minimal surfaces, [See also 73K40, 90C90]
skos:notation	49Q10
skos:note	See also 90C90.
skos:semanticRelation	Applications of mathematical programming
is rdfs:seeAlso of	Minimal surfaces, surfaces with prescribed mean curvature Immersions (minimal, prescribed curvature, tight, etc.) Flow control and optimization Flow control and optimization
is Subject of	A notion of compliance robustness in topology optimization Shape and topology optimization of the robust compliance via the level set method Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian Relating phase field and sharp interface approaches to structural topology optimization The extended adjoint method Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini A relaxation result for energies defined on pairs set-function and applications Topological sensitivity analysis for time-dependent problems Global minimizer of the ground state for two phase conductors in low contrast regime First variation of the general curvature-dependent surface energy Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty A priori error estimates for finite element discretizations of a shape optimization problem Variational approach to shape derivatives Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry and in vivo stress incorporation Shape Optimization for Stokes flows: a finite element convergence analysis Multi-phase structural optimization via a level set method Asymptotics of an optimal compliance-location problem Minimising convex combinations of low eigenvalues Optimal regions for congested transport A convex analysis approach to multi-material topology optimization On convex sets that minimize the average distance Topological gradient for a fourth order operator used in image analysis Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow Average-distance problem for parameterized curves A multiscale correction method for local singular perturbations of the boundary On an optimal shape design problem in conduction Conformal mapping and inverse conductivity problem with one measurement Global minimizers for axisymmetric multiphase membranes On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique Planar infinite-horizon optimal control problems with weighted average cost and averaged constraints, applied to cheeger sets Approximation of maximal Cheeger sets by projection Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields Motivations, ideas and applications of ramified optimal transportation Regularity of optimal shapes for the Dirichlet's energy with volume constraint The topological asymptotic for the Navier-Stokes equations Numerical simulations for nodal domains and spectral minimal partitions Shape derivative of the Cheeger constant Delaunay type domains for an overdetermined elliptic problem in n × ℝ and ℍ n × ℝ Phase Field Model for Multi-Material Shape Optimization of Inextensible Rods Existence of optimal shapes under a uniform ball condition for geometric functionals involving boundary value problems Second-order derivative of domain-dependent functionals along Nehari manifold trajectories Oriented distance point of view on random sets A simplified derivation technique of topological derivatives for quasi-linear transmission problems Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients Null space gradient flows for constrained optimization with applications to shape optimization Minimizers of the prescribed curvature functional in a Jordan domain with no necks On material optimisation for nonlinearly elastic plates and shells Shape derivatives for an augmented Lagrangian formulation of elastic contact problems Average-distance problem with curvature penalization for data parameterization: regularity of minimizers A mass reducing flow for real-valued flat chains with applications to transport networks A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation Symmetry results for variational energies on convex polygons An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams A novel W1,∞ approach to shape optimisation with Lipschitz domains Topology optimization for quasistatic elastoplasticity A consistent approximation of the total perimeter functional for topology optimization algorithms Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue Phase-field methods for spectral shape and topology optimization An abstract Lagrangian framework for computing shape derivatives The ε-ε property and the boundedness of isoperimetric sets with different monomial weights Directional differentiability for shape optimization with variational inequalities as constraints A variational formulation for computing shape derivatives of geometric constraints along rays Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics Shape optimization of piezoelectric sensors or actuators for the control of plates A penalty method for topology optimization subject to a pointwise state constraint On the ersatz material approximation in level-set methods About stability of equilibrium shapes A fuzzy particle swarm optimization method with application to shape design problem The topological asymptotic expansion for the Quasi-Stokes problem Optimal networks for mass transportation problems Removing holes in topological shape optimization The problem of the body of revolution of minimal resistance Topological asymptotic analysis of the Kirchhoff plate bending problem A phase-field model for compliance shape optimization in nonlinear elasticity Optimal convex shapes for concave functionals An Optimum Design Problem in Magnetostatics Distributed shape derivative via averaged adjoint method and applications A Global Stochastic Optimization Method for Large Scale Problems Existence, regularity and structure of confined elasticae

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