Level set based structural topology optimization for minimizing frequency response

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.2K citations

Engineering, Computational Engineering, Mathematics +12

Structural optimization using sensitivity analysis and a level-set method

Grégoire Allaire, François Jouve, Anca-Maria Toader · Journal of Computational Physics · 2003 · 2.7K citations · Full text

Engineering, Computational Engineering, Mathematics +14

Structural Boundary Design via Level Set and Immersed Interface Methods

James A. Sethian, Andreas Wiegmann · Journal of Computational Physics · 2000 · 1.3K citations

Engineering, Computational Engineering, Mechanical Engineering +13

Systematic design of phononic band–gap materials and structures by topology optimization

Ole Sigmund, Jakob Søndergaard Jensen · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 2003 · 745 citations

Engineering, Materials Engineering, Materials Science +17