Topology optimization using a reaction-diffusion equation

By J. Choi, Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki, Jeonghoon Yoo. 2011

104 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/6bf34700d7c3fef6a85775c81e61eddfa6148274

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Rouhollah Tavakoli
2. Luca Dede'
3. Thomas J. R. Hughes
4. Michael J. Borden
5. Xiaoping Qian
6. Yingjun Wang
7. David J. Benson
8. Kazuhiro Saitou

In Computational Theory and Mathematics

1. Rouhollah Tavakoli
2. Luca Dede'
3. Michael J. Borden
4. Thomas J. R. Hughes
5. Hector Gomez
6. Yingjun Wang
7. Timon Rabczuk
8. Yuri Bazilevs

In Control and Systems Engineering

1. Thomas J. R. Hughes
2. Rouhollah Tavakoli
3. Luca Dede'
4. Michael J. Borden

Citations in the corpus

• Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method (2014, methodology): “Formulae (9) has been extensively used in the literature of binary phase (void-material) topology optimization, for instance see [47, 48, 43, 49–51].”
• Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “In [30] a model based on the diffusion–reaction equation, with analogies with the Cahn–Allen equation, is introduced for minimum compliance problems with an augmented Lagrangian approach to take into account the mass/volume constraint.”