Gradient-Based Two-Scale Topology Optimization With B-Splines on Sparse Grids
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Publication:5132038
DOI10.1137/19M128822XzbMath1452.65030OpenAlexW3080508343MaRDI QIDQ5132038
Michael Stingl, Dirk Pflüger, Daniel Hübner, Julian Valentin
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m128822x
Numerical computation using splines (65D07) Numerical interpolation (65D05) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)
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- Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material
- Spatially adaptive sparse grids for high-dimensional data-driven problems
- Numerical study of a relaxed variational problem from optimal design
- Generating optimal topologies in structural design using a homogenization method
- A homogenization method for shape and topology optimization
- A comparison of homogenization and standard mechanics analyses for periodic porous composites
- Variational methods for structural optimization
- Multiscale structural topology optimization with an approximate constitutive model for local material microstructure
- Topology optimization of modulated and oriented periodic microstructures by the homogenization method
- 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method
- Topology optimization of fluid-structure-interaction problems in poroelasticity
- Multidimensional spline interpolation: theory and applications
- On calculating with B-splines
- Composite material design of two-dimensional structures using the homogenization design method
- From Data to Uncertainty: An Efficient Integrated Data-Driven Sparse Grid Approach to Propagate Uncertainty
- Hierarchical Gradient-Based Optimization with B-Splines on Sparse Grids
- A Finite Element Method for Density Estimation with Gaussian Process Priors
- A Post-Treatment of the Homogenization Method for Shape Optimization
- Homogenization and Two-Scale Convergence
- Sparse grids
- SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
- The Numerical Evaluation of B-Splines
- Shape optimization by the homogenization method
