Control of Bifurcation Structures using Shape Optimization
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Publication:5021400
DOI10.1137/21M1418708zbMath1480.65370arXiv2105.14884OpenAlexW3172998813MaRDI QIDQ5021400
Nicolas Boullé, Alberto Paganini, Patrick E. Farrell
Publication date: 13 January 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14884
Numerical optimization and variational techniques (65K10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Numerical nonlinear stabilities in dynamical systems (65P40)
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- Structural optimization with FreeFem++
- Optimal treatment of structures
- On the limited memory BFGS method for large scale optimization
- The use of symmetry in bifurcation calculations and its application to the Bénard problem
- The onset of convection in a finite container due to surface tension and buoyancy
- Singularities and groups in bifurcation theory. Volume II
- A level-set method for shape optimization.
- Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis
- Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation
- Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Practical bifurcation and stability analysis
- A Krylov--Schur Algorithm for Large Eigenproblems
- Analysis of Inexact Trust-Region SQP Algorithms
- Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- Relating phase field and sharp interface approaches to structural topology optimization
- A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization
- Shapes and Geometries
- A phase-field model for compliance shape optimization in nonlinear elasticity
- A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
- Firedrake
- Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics
- The Computation of Symmetry-Breaking Bifurcation Points
- SLEPc
- Optimization with PDE Constraints
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- The Calculation of Hopf Points by a Direct Method
- A Direct Method for the Computation of Hopf Bifurcation Points
- A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
- The Calculation of Turning Points of Nonlinear Equations
- The numerical treatment of non-trivial bifurcation points
- Trust Region Methods
- Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization
- Introduction to Shape Optimization
- Nonlinear Conjugate Gradient Methods for PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics
- First and Second Order Shape Optimization Based on Restricted Mesh Deformations
- Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids
- Unified form language
- Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations
- Tristability of thin orthotropic shells with uniform initial curvature
- Shape optimisation for faster washout in recirculating flows
- Deflation for semismooth equations
- Numerical computation of branch points in ordinary differential equations
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