A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces
DOI10.1137/22M1494609MaRDI QIDQ5889347
Unnamed Author, Martin Siebenborn, Thomas Rung, Unnamed Author
Publication date: 20 April 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.01912
Numerical optimization and variational techniques (65K10) Parallel numerical computation (65Y05) Optimization of shapes other than minimal surfaces (49Q10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) PDEs in connection with control and optimization (35Q93)
Uses Software
Cites Work
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- Computational comparison of surface metrics for PDE constrained shape optimization
- Structural optimization using sensitivity analysis and a level-set method.
- A massively parallel geometric multigrid solver on hierarchically distributed grids
- \textit{UG} 4: a novel flexible software system for simulating PDE based models on high performance computers
- Mesh quality preserving shape optimization using nonlinear extension operators
- Shape and topology optimization
- Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
- Finite Elements and Fast Iterative Solvers
- Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Navier Stokes Flow
- Shapes and Geometries
- Optimization with PDE Constraints
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Applied Shape Optimization for Fluids
- Multiplier methods for engineering optimization
- The Differentiability of the Drag with Respect to the Variations of a Lipschitz Domain in a Navier--Stokes Flow
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- A Continuous Perspective on Shape Optimization via Domain Transformations
- An SQP Method for Equality Constrained Optimization on Hilbert Manifolds
- On optimum profiles in Stokes flow
- Limits of Solutions ofp-Laplace Equations aspGoes to Infinity and Related Variational Problems
- S<scp>HAPE</scp> O<scp>PTIMIZATION IN</scp> F<scp>LUID</scp> M<scp>ECHANICS</scp>
- Null space gradient flows for constrained optimization with applications to shape optimization
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