A variational formulation for computing shape derivatives of geometric constraints along rays
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Publication:5110260
DOI10.1051/m2an/2019056OpenAlexW2908959792MaRDI QIDQ5110260
F. Feppon, Grégoire Allaire, Charles Dapogny
Publication date: 18 May 2020
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2019056
level set methodsigned distance functionshape and topology optimizationthickness constraintsadvection operator
Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10)
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Uses Software
Cites Work
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- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Imposing maximum length scale in topology optimization
- Mathematical aspects of discontinuous Galerkin methods.
- Computation of the signed distance function to a discrete contour on adapted triangulation
- Optimal treatment of structures
- An introduction to Sobolev spaces and interpolation spaces
- Ordinary differential equations, transport theory and Sobolev spaces
- Shape analysis via oriented distance functions
- Structural optimization using sensitivity analysis and a level-set method.
- Nonlinear potential theory and weighted Sobolev spaces
- Shape optimization with a level set based mesh evolution method
- Representation of equilibrium solutions to the table problem for growing sandpiles
- A level set method for structural topology optimization.
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Uniform rectifiability and singular sets
- Shape and topology optimization considering anisotropic features induced by additive manufacturing processes
- Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework
- Minimum thickness control at various levels for topology optimization using the wavelet method
- Geometric constraints for shape and topology optimization in architectural design
- Variation and optimization of formes. A geometric analysis
- A new level set method for systematic design of hinge-free compliant mechanisms
- Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations
- Shapes and Geometries
- The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
- Another Look at Velocity Extensions in the Level Set Method
- Stability and Computation of Medial Axes - a State-of-the-Art Report
- A dynamical systems approach to constrained minimization
- A fast sweeping method for Eikonal equations
- Ordinary Differential Equations with Applications
- A fast marching level set method for monotonically advancing fronts.
- New development in freefem++
- Équations de Navier-Stokes en bassin peu profond: l'approximation hydrostatique
- A Geometric Approach to Dynamical Model Order Reduction
- Multi-phase structural optimizationviaa level set method
- The power crust, unions of balls, and the medial axis transform
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