Explicit level-set-based topology optimization using an exact Heaviside function and consistent sensitivity analysis
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Publication:2911856
DOI10.1002/nme.4258zbMath1246.74045OpenAlexW1897098726MaRDI QIDQ2911856
N. P. van Dijk, Matthijs Langelaar, Fred van Keulen
Publication date: 3 September 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4258
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Cites Work
- A parametric level-set approach for topology optimization of flow domains
- A level set based topology optimization method using the discretized signed distance function as the design variables
- A gradient-based, parameter-free approach to shape optimization
- A topology optimization method based on the level set method incorporating a fictitious interface energy
- Projection methods for linear systems
- Generating optimal topologies in structural design using a homogenization method
- A level set approach for computing solutions to incompressible two-phase flow
- Structural optimization using sensitivity analysis and a level-set method.
- ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
- Material interpolation schemes in topology optimization
- The shape and topological optimizations' connection
- Structural boundary design via level set and immersed interface methods
- A level set method for structural topology optimization.
- A level set method for structural topology optimization and its applications
- Some convergence results in perimeter-controlled topology optimization
- Shape and topology optimization of compliant mechanisms using a parameterization level set method
- Review of options for structural design sensitivity analysis. I: Linear systems
- A new algorithm for topology optimization using a level-set method
- Filters in topology optimization
- An explicit level set approach for generalized shape optimization of fluids with the lattice Boltzmann method
- Radial basis functions and level set method for structural topology optimization
- A quadratic approximation for structural topology optimization
- A level set method for shape and topology optimization of large-displacement compliant mechanisms
- A level set-based parameterization method for structural shape and topology optimization
- The method of moving asymptotes—a new method for structural optimization
- On the Topological Derivative in Shape Optimization
- Topology optimization with implicit functions and regularization
- Principles of Optimal Design
- Topology optimization of nonlinear elastic structures and compliant mechanisms
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
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