Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
A fast level set method for propagating interfaces
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
SIAM Journal on Control and Optimization
Generalized Gradients: Priors on Minimization Flows
International Journal of Computer Vision
Finite element analysis with staggered gradient elasticity
Computers and Structures
Efficient topology optimization in MATLAB using 88 lines of code
Structural and Multidisciplinary Optimization
On projection methods, convergence and robust formulations in topology optimization
Structural and Multidisciplinary Optimization
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
Numerical instabilities in level set topology optimization with the extended finite element method
Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
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In topology optimization filtering is a popular approach for preventing numerical instabilities. This short note shows that the well-known sensitivity filtering technique, that prevents checkerboards and ensures mesh-independent designs in density-based topology optimization, is equivalent to minimizing compliance for nonlocal elasticity problems known from continuum mechanics. Hence, the note resolves the long-standing quest for finding an explanation and physical motivation for the sensitivity filter.