State space Newton's method for topology optimization
type: Item
instance of: scholarly article
title: State space Newton's method for topology optimization
zbMATH Open document ID: 1423.74744
author: Anton Evgrafov
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-08-28T00:00:00Z
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6928128
zbMATH Keywords: topology optimization
zbMATH Keywords: variational discretization
zbMATH Keywords: Newton's algorithm
describes a project that uses: minpack
describes a project that uses: deal.ii
describes a project that uses: UMFPACK
describes a project that uses: DOLFIN
describes a project that uses: HYBRJ
MaRDI profile type: Publication
full work available at URL: j.cma.2014.06.005
OpenAlex ID: W2093274919
Wikidata QID: Q61816414
cites work: Generating optimal topologies in structural design using a homogenization method
cites work: Q4449265
cites work: Shape optimization by the homogenization method
cites work: Primal-dual Newton-type interior-point method for topology optimization
cites work: Simultaneous solution approaches for large optimization problems.
cites work: Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
cites work: Topology optimization of fluids in Stokes flow
cites work: On the usefulness of non-gradient approaches in topology optimization
cites work: The method of moving asymptotes—a new method for structural optimization
cites work: A class of globally convergent optimization methods based on conservative convex separable approximations
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: An adaptive multilevel approach to the minimal compliance problem in topology optimization
cites work: An adaptive method for high-resolution topology design
cites work: Adaptive finite element methods for shape optimization of linearly elastic structures
cites work: A general methodology for structural shape optimization problems using automatic adaptive remeshing
cites work: Nested and self-adaptive Bézier parameterizations for shape optimization
cites work: A new marking strategy for the adaptive finite element approximation of optimal control constrained problems
cites work: One-shot methods in function space for PDE-constrained optimal control problems
cites work: A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids -- application to shape optimization
cites work: Adaptive finite element method for shape optimization
cites work: An inexact ℓ1penalty SQP algorithm for PDE-constrained optimization with an application to shape optimization in linear elasticity
cites work: An operator splitting algorithm for Tikhonov-regularized topology optimization
cites work: A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows
cites work: Efficient use of iterative solvers in nested topology optimization
cites work: An Introduction to Partial Differential Equations
cites work: Convex functional analysis
cites work: The Newton-Kantorovich Theorem
cites work: Q4404383
cites work: Q4899691
cites work: Automated solution of differential equations by the finite element method. The FEniCS book
cites work: deal.II—A general-purpose object-oriented finite element library
cites work: A numerical solution of the Navier-Stokes equations using the finite element technique
cites work: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
cites work: A stable finite element for the Stokes equations
cites work: Level set topology optimization of fluids in Stokes flow
cites work: Algorithm 832
cites work: Topology optimization of large scale Stokes flow problems
cites work: Optimal adaptive nonconforming FEM for the Stokes problem
DOI: 10.1016/J.CMA.2014.06.005
description: scientific article; zbMATH DE number 6928128