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About 10,000 papers for “shape optimization”

J. Sokołowski Shape Optimization Shape optimization

P. I. Plotnikov, Compressible Navier-stokes Equations · 2014

Well posedness of state equation- nonlinear problems, compressible Navier-Stokes equations Stability of solutions to state equation with respect to the shape-nonlinear problems, compressible Navier-Stokes equations Formula for the shape gradient of shape functional- nonlinear problems, compressible Navier-Stokes equations Asymptotic analysis and the formula for the topological derivative of shape functional- anisotropic elasticity, compressible Navier-Stokes equations Numerical methods for the shape optimization problems- anisotropic elasticity, compressible Navier-Stokes equations J. Sokołowski Shape Optimization Compressible Navier-Stokes Equations weak renormalized global solutions of compressible Navier-Stokes equations: shape optimization problems are well posed strong local solutions of compressible Navier-Stokes equations: work and drag shape functionals are differentiable

Cited by 0

Shape Optimization

Rasmussen, John; id_orcid 0000-0003-3257-5653 · VBN Forskningsportal (Aalborg Universitet) · 1999

Cited by 0

Shape Optimization

Catherine Bandle, Alfred Wagner · 2023

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

Cited by 4

Shape Optimization

Kai‐Uwe Bletzinger · 2017

Abstract This chapter gives basic information about those aspects which make structural shape optimization different from other problem types of optimization. It concentrates on those topics which deal with the control of shape (continuous and parametric), the regularization of problem formulation, the treatment of the infinity of design space and some further aspects which are specific to numerical and parametric shape optimization. As a consequence, there is little presented about general optimization theory or algorithms, or specific aspects of implementation and applications are restricted to typical, illustrative examples. In particular, a unified approach is displayed which allows to see the floating transition between free shape optimization and computer aided design‐based parametric shape optimization on a sound theoretical basis.

Cited by 11

Shape optimization

Jérôme Fehrenbach, Frédéric de Gournay · Springer Link (Chiba Institute of Technology)

\nIn the context of shape optimization via level-set methods, we propose a general framework for a Gauss-Newton method to optimize quadratic functionals. Our approach provides a natural extension of the shape derivative as a vector field defined in the whole working domain. We implement and discuss this method in two cases: first a least-square error minimization reminiscent of the Electrical Impedance Tomography problem, and second the compliance problem with volume constraints.\n

Cited by 0

Contact Shape Optimization

Eduardo A. Fancello; National Laboratory of Scientific Computing, Raúl A. Feijóo; National Laboratory of Scientific Computing · Mecánica Computacional (Asociación Argentina de Mecánica Computacional) · 2009

A finite element approach (or shape optimization in 20 (rictionless contact problem for two different cost(unctions is presented in this work. The goal is to find an appropriate shape (or the contact boundary, performing an almost constant contact-stress distribution. The whole (ormulation, including mathematical model for the unilateral problem, sensitivity analysis and geometry definition is treated ia a continuous (ann, independently o( the discretization in finite elements. Shape optimization is performed by direct modification or geometry through B-Spline curves and an automatic mesh generator is used at each new configuratioa to provide the finite element input data. Augmented-Lagrangian techniques (to solve the contact problem) and an interior-point mathematical-programming algorithm «(or shape optimization) are used to obtain numerical results.

Cited by 0

Pulse Shape Optimization

Vladimir Mitlin · Auerbach Publications eBooks · 2006

This chapter describes a method of pulse shaping or, more specifically, of generating low-complexity, spectrally efficient pulses for digital communications. In digital communications, the data transmission is performed, in the most basic pulse amplitude modulation scenario, by creating a train of identical pulses and multiplying each pulse by a number representing a symbol of an information-bearing sequence to be transmitted. An ideal situation would be if one were allowed to increase the power of the pulse used for data transmission as well as its bandwidth as much as one desires to achieve the required data rate. Designing bandwidth-efficient pulses is an important problem, particularly in wireless applications where the bandwidth occupancy affects the total number of users in the spectral window allocated for a given service provider. The phi-pulse provides an optimum for the bandwidth occupancy criterion on a subclass of pulses generated by passing a unit area impulse through a sequence of sliding adders.

Cited by 0

structural shape optimization

Mohammed Ziani, Michael Doerfel, Hal Id Inria et al. · 2010

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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