A semi-implicit level set method for structural shape and topology optimization
Journal of Computational Physics
Structural and Multidisciplinary Optimization
A new level-set based approach to shape and topology optimization under geometric uncertainty
Structural and Multidisciplinary Optimization
Simultaneous optimization of cast part and parting direction using level set method
Structural and Multidisciplinary Optimization
Stress-based topology optimization using an isoparametric level set method
Finite Elements in Analysis and Design
Sensitivity filtering from a continuum mechanics perspective
Structural and Multidisciplinary Optimization
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
Journal of Computational Physics
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In the context of structural optimization by the level-set method, we propose an extension of the velocity of the underlying Hamilton-Jacobi equation. The gradient method is endowed with a Hilbertian structure based on the H1 Sobolev space. Numerical results for compliance minimization and mechanism design show a strong improvement of the rate of convergence of the level-set method. Another important application is the optimization of multiple eigenvalues.