On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems
From MaRDI portal
Publication:6049036
DOI10.4208/jcm.2208-m2020-0142MaRDI QIDQ6049036
Publication date: 16 October 2023
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Algorithms for approximation of functions (65D15) Sensitivity analysis for optimization problems on manifolds (49Q12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete gradient flows for shape optimization and applications
- 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
- Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
- Shape identification in Stokes flow with distributed shape gradients
- Shape optimization using the cut finite element method
- On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization
- Comparison of approximate shape gradients
- Distributed shape derivativeviaaveraged adjoint method and applications
- Shapes and Geometries
- Structured Inverse Modeling in Parabolic Diffusion Problems
- Analytical and numerical methods in shape optimization
- On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
- On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications
- Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
- Finite Elemente
- The Mathematical Theory of Finite Element Methods
This page was built for publication: On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems
