A gradient-based shape optimization scheme using an interface-enriched generalized FEM
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Publication:2631463
DOI10.1016/j.cma.2015.07.024zbMath1423.74781OpenAlexW1112434539MaRDI QIDQ2631463
Ahmad R. Najafi, Masoud Safdari, Philippe H. Geubelle, Daniel A. Tortorelli
Publication date: 15 May 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2015.07.024
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Geometrical methods for optimization problems in solid mechanics (74P20)
Related Items (10)
Multiscale design of nonlinear materials using reduced-order modeling ⋮ Shape optimization with immersed interface finite element method ⋮ Recovering elastic inclusions by shape optimization methods with immersed finite elements ⋮ A fixed mesh method with immersed finite elements for solving interface inverse problems ⋮ A GFEM-based reduced-order homogenization model for heterogeneous materials under volumetric and interfacial damage ⋮ Hybrid topology/shape optimization under uncertainty for actively-cooled nature-inspired microvascular composites ⋮ IGFEM-based shape sensitivity analysis of the transverse failure of a composite laminate ⋮ A NURBS-based generalized finite element scheme for 3D simulation of heterogeneous materials ⋮ 3D dimensionally reduced modeling and gradient-based optimization of microchannel cooling networks ⋮ Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling
Cites Work
- ``Bubble-and-grain method and criteria for optimal positioning inhomogeneities in topological optimization
- Stable generalized finite element method (SGFEM)
- Nonparametric gradient-less shape optimization for real-world applications
- \(\mathrm{E(FG)}^2\): a new fixed-grid shape optimization method based on the element-free Galerkin mesh-free analysis: taking large steps in shape optimization
- Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
- Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis
- Shape optimal design using B-splines
- A gradient-based, parameter-free approach to shape optimization
- Optimal shapes of mechanically motivated surfaces
- A 3D interface-enriched generalized finite element method for weakly discontinuous problems with complex internal geometries
- The finite cell method for three-dimensional problems of solid mechanics
- Structural shape optimization - A survey
- A study of design velocity field computation for shape optimal design
- Structural optimization using sensitivity analysis and a level-set method.
- A shape optimization approach based on natural design variables and shape functions
- Optimal design of nonlinear parabolic systems. II: Variable spatial domain with applications to casting optimization
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- A systematic approach to shape sensitivity analysis
- Review of options for structural design sensitivity analysis. I: Linear systems
- Eulerian shape design sensitivity analysis and optimization with a fixed grid
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- Boundary layer in shape optimization of convective fins using a meshfree approach
- A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis
- A level set-based parameterization method for structural shape and topology optimization
- 3‐D shape optimal design and automatic finite element regridding
- FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART II: APPLICATION TO THE SOLUTION OF SHAPE OPTIMIZATION PROBLEMS
- A geometry projection method for shape optimization
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