A PDE-constrained optimization approach for topology optimization of strained photonic devices
type: Item
instance of: scholarly article
title: A PDE-constrained optimization approach for topology optimization of strained photonic devices
author: Lukáš Adam
author: Michael Hintermüller
author: Thomas Surowiec
published in: Optimization and Engineering
publication date: 2022-01-28T00:00:00Z
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 7465686
zbMATH Keywords: semiconductor lasers
zbMATH Keywords: germanium
zbMATH Keywords: topology optimization
zbMATH Keywords: optimization with PDE constraints
zbMATH Keywords: elasticity
zbMATH Keywords: phase-field
MaRDI profile type: Publication
full work available at URL: s11081-018-9394-5
OpenAlex ID: W2810973463
Wikidata QID: Q115155113
cites work: A semismooth Newton method with analytical path-following for the $H^1$-projection onto the Gibbs simplex
cites work: Q3694130
cites work: Q4449265
cites work: Regularity results for nonlinear elliptic systems and applications
cites work: On the Goldstein-Levitin-Polyak gradient projection method
cites work: An Extension of the Projected Gradient Method to a Banach Space Setting with Application in Structural Topology Optimization
cites work: Relating phase field and sharp interface approaches to structural topology optimization
cites work: Q4288590
cites work: Q4503250
cites work: Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
cites work: An integral formula for total gradient variation
cites work: Interior Methods for Nonlinear Optimization
cites work: On NEMYTSKIJ Operators inLp-Spaces of Abstract Functions
cites work: Convex programming in Hilbert space
cites work: Q4040359
cites work: B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
cites work: Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
cites work: Path-following Methods for a Class of Constrained Minimization Problems in Function Space
cites work: Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Optimization with PDE Constraints
cites work: Q5576518
cites work: Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
cites work: Contrôle dans les inéquations variationelles elliptiques
cites work: The gradient theory of phase transitions and the minimal interface criterion
cites work: Towards Doping Optimization of Semiconductor Lasers
cites work: First Order Conditions for General Nonlinear Optimization
cites work: Superlinear convergence of the control reduced interior point method for PDE constrained optimization
cites work: Q4000354
cites work: Shape and topology optimization based on the phase field method and sensitivity analysis
cites work: Primal-dual interior-point methods for PDE-constrained optimization
cites work: Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors
cites work: Q4039918
cites work: Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
cites work: Regularity and stability for the mathematical programming problem in Banach spaces
DOI: 10.1007/S11081-018-9394-5
description: scientific article; zbMATH DE number 7465686