Topology optimization under uncertainty via non-intrusive polynomial chaos expansion

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

Optimal shape design as a material distribution problem

Martin P. Bendsøe · Structural and Multidisciplinary Optimization · 1989 · 4.4K citations

Architecture, Manufacturing Engineering, Mathematics +12

Material interpolation schemes in topology optimization

Martin P. Bendsøe, Ole Sigmund · Archive of Applied Mechanics · 1999 · 2.8K citations

Natural Sciences, Materials Engineering, Mathematics +14

On projection methods, convergence and robust formulations in topology optimization

Fengwen Wang, Boyan S. Lazarov, Ole Sigmund · Structural and Multidisciplinary Optimization · 2010 · 1.8K citations

Natural Sciences, Mathematics, Optimization +13

High-Order Collocation Methods for Differential Equations with Random Inputs

Dongbin Xiu, Jan S. Hesthaven · SIAM Journal on Scientific Computing · 2005 · 1.5K citations · Full text

Computing, Computational Engineering, Finite Element Analysis +15