16 citations · 31 across the 14 of their papers we have counts for
4 papers · 1 filter
The SiMPL Method for Multi-Material Topology Optimization
Peter Gangl, Brendan Keith, Dohyun Kim +2
We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal desi…
Proximal Galerkin for Phase Field Fracture
Miguel Castillón, Biswajit Khara, Jørgen S. Dokken +3
The phase-field method has emerged as a powerful tool for simulating fracture mechanics, yet it presents significant numerical challenges, particularly regarding the enforcement of…
Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints
Brendan Keith, Thomas M. Surowiec
The proximal Galerkin finite element method is a high-order, low-iteration complexity, nonlinear numerical method that preserves the geometric and algebraic structure of point-wise…
Computing multiple solutions of topology optimization problems
Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters a…