Shape Optimization of the Stokes Eigenvalue Problem
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Publication:6039269
DOI10.1137/21m1451543zbMath1512.65254OpenAlexW4366299277MaRDI QIDQ6039269
Publication date: 4 May 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1451543
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods for eigenvalues of operators (49R05) Sensitivity analysis for optimization problems on manifolds (49Q12)
Cites Work
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- Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem.
- Generic properties of the spectrum of the Stokes system with Dirichlet boundary condition in \(\mathbb{R}^3\)
- Shape optimization towards stability in constrained hydrodynamic systems
- Eigenvalues of the Stokes operator versus the Dirichlet Laplacian in the plane
- Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives
- Maximum-norm stability of the finite element Stokes projection
- Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation
- Shape optimization of Navier-Stokes flows by a two-grid method
- \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 identification in Stokes flow with distributed shape gradients
- 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
- Two-level stabilized finite element method for Stokes eigenvalue problem
- Variational methods in shape optimization problems
- A level-set method for vibration and multiple loads structural optimization
- Distributed shape derivativeviaaveraged adjoint method and applications
- Finite element approximation of eigenvalue problems
- Optimal Bilaplacian Eigenvalues
- Shapes and Geometries
- Structured Inverse Modeling in Parabolic Diffusion Problems
- Finite Element Methods for Navier-Stokes Equations
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- A two-grid discretization scheme for eigenvalue problems
- Two-Dimensional Shape Optimization with Nearly Conformal Transformations
- Introduction to Shape Optimization
- New development in freefem++
- On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
- Generic simplicity of the eigenvalues of the Stokes system in two space dimensions.