Shape optimization of Navier-Stokes flows by a two-grid method
From MaRDI portal
Publication:2083155
DOI10.1016/j.cma.2022.115531OpenAlexW4293375264MaRDI QIDQ2083155
Publication date: 10 October 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.115531
Finite element methods applied to problems in fluid mechanics (76M10) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (2)
Shape Optimization of the Stokes Eigenvalue Problem ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Efficient shape optimization for certain and uncertain aerodynamic design
- A two-grid method based on Newton iteration for the Navier-Stokes equations
- A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow
- What is the optimal shape of a pipe?
- Aerodynamic design via control theory
- Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
- Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives
- Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation
- \textit{A priori} error analysis of shape derivatives of linear functionals in structural topology optimization
- Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
- Shape and topology optimization
- Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains
- A cut finite element method for the Bernoulli free boundary value problem
- Shape optimization using the cut finite element method
- Comparison of approximate shape gradients
- A simplified two-level method for the steady Navier-Stokes equations
- A two-grid binary level set method for eigenvalue optimization
- Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
- Compressible Navier-Stokes Equations
- Shapes and Geometries
- Shape optimization of a breakwater
- Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics
- Shape reconstruction of an inverse boundary value problem of two-dimensional Navier-Stokes equations
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Finite Element Methods for Navier-Stokes Equations
- A linear Uzawa‐algorithm for the steady‐state Navier‐Stokes problem
- Mixed and Hybrid Finite Element Methods
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- Two-Dimensional Shape Optimization with Nearly Conformal Transformations
- The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
- Mathematical Modelling of the Human Cardiovascular System
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Perspectives in Flow Control and Optimization
- A Unified Discrete–Continuous Sensitivity Analysis Method for Shape Optimization
- Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
- Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra
This page was built for publication: Shape optimization of Navier-Stokes flows by a two-grid method