A consistent approximation of the total perimeter functional for topology optimization algorithms
DOI10.1051/cocv/2022005zbMath1485.49050OpenAlexW3196123608WikidataQ114011499 ScholiaQ114011499MaRDI QIDQ5066566
Àlex Ferrer, Samuel Amstutz, Charles Dapogny
Publication date: 29 March 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2022005
asymptotic analysiscalculus of variationspartial differential equationsscientific computingshape and topology optimizationperimeter function
Numerical mathematical programming methods (65K05) Boundary value problems for second-order elliptic equations (35J25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)
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Cites Work
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- Connections between topological sensitivity analysis and material interpolation schemes in topology optimization
- Structural optimization with FreeFem++
- Minimal partitions and image classification using a gradient-free perimeter approximation
- Existence and regularity of minimizers for some spectral functionals with perimeter constraint
- Optimal treatment of structures
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Level set approach to mean curvature flow in arbitrary codimension
- An optimal design problem with perimeter penalization
- Variational models for phase separation.
- Structural optimization using sensitivity analysis and a level-set method.
- On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model
- Structural boundary design via level set and immersed interface methods
- A consistent relaxation of optimal design problems for coupling shape and topological derivatives
- Shape variation and optimization. A geometrical analysis
- The gradient theory of phase transitions and the minimal interface criterion
- A level set method for structural topology optimization.
- Topology optimization methods with gradient-free perimeter approximation
- Topological derivatives in shape optimization
- Shape and topology optimization
- Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework
- Short-time heat flow and functions of bounded variation in \(\mathbb R^N\)
- A new algorithm for topology optimization using a level-set method
- Filters in topology optimization
- The Topological Asymptotic for PDE Systems: The Elasticity Case
- Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration
- Regularized Perimeter for Topology Optimization
- Variational Analysis in Sobolev and BV Spaces
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
- Design-dependent loads in topology optimization
- Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?
- On the optimal shape of tree roots and branches
- Topology optimization of fluids in Stokes flow
- A geometric model for anisotropic crystal growth
- Shape optimisation with the level set method for contact problems in linearised elasticity
- A variational formulation for computing shape derivatives of geometric constraints along rays
- Threshold Dynamics for Networks with Arbitrary Surface Tensions
- Multi-phase structural optimizationviaa level set method
- Topology optimization of nonlinear elastic structures and compliant mechanisms
- Shape optimization by the homogenization method
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