A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow
type: Item
instance of: scholarly article
title: A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow
zbMATH Open document ID: 1425.74502
author: Zhiming Gao
author: Yichen Ma
published in: Applied Numerical Mathematics
publication date: 2010-06-25T00:00:00Z
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 5726719
zbMATH Keywords: discrete adjoint method
zbMATH Keywords: shape optimization
zbMATH Keywords: stabilized finite element method
zbMATH Keywords: gradient algorithm
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
full work available at URL: j.apnum.2010.04.008
OpenAlex ID: W2087433318
cites work: Q3139173
cites work: Q4028863
cites work: Optimal Control in Fluid Mechanics by Finite Elements with Symmetric Stabilization
cites work: Q3666415
cites work: Directional derivative of a minimax function
cites work: Q4352443
cites work: Q3830100
cites work: A stabilized finite element method for the Stokes problem based on polynomial pressure projections
cites work: Shape sensitivity analysis for a Robin problem via minimax differentiability
cites work: Shape optimization for Stokes flow
cites work: Shape optimization for Navier–Stokes flow
cites work: Perspectives in Flow Control and Optimization
cites work: A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
cites work: Solution to shape optimization problems of viscous flow fields
cites work: A stabilized finite element method based on two local Gauss integrations for the Stokes equations
cites work: Two‐dimensional implicit time‐dependent calculations on adaptive unstructured meshes with time evolving boundaries
cites work: Applied shape optimization for fluids
cites work: Q3960544
cites work: Q2702324
cites work: Q4890329
cites work: Q4210921
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
cites work: Shape optimization of a body located in low Reynolds number flow
cites work: Optimal shape determination of a body located in incompressible viscous fluid flow
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
DOI: 10.1016/J.APNUM.2010.04.008
description: scientific article; zbMATH DE number 5726719