On projection methods, convergence and robust formulations in topology optimization

Generating optimal topologies in structural design using a homogenization method

Martin P. Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · 1988 · 7.3K citations · Full text

Engineering, Design, Design Optimization +10

The method of moving asymptotes—a new method for structural optimization

Krister Svanberg · International Journal for Numerical Methods in Engineering · 1987 · 5.4K citations

Natural Sciences, Mathematics, Design Optimization +11

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

Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima

Ole Sigmund, Joakim Petersson · Structural and Multidisciplinary Optimization · 1998 · 2.1K citations

Computing, Computer Science, Mathematics +9