2 citations · 4 across the 8 of their papers we have counts for
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Non-convex optimal control governed by nonlinear elliptic partial differential equation: Analysis, functional-based algorithm and control landscape
Ning Du, Yanlin Liu, Lei Zhang +1
Non-convex optimal control arises from various applications but may contain multiple stationary points. Classical solvers usually perform a local search and therefore rely on good…
Nullspace-preserving high-index saddle dynamics method for degenerate multiple solution problems
Kai Jiang, Lei Zhang, Xiangcheng Zheng +1
We propose the nullspace-preserving high-index saddle dynamics (NPHiSD) method for degenerating multiple solution systems in constrained and unconstrained settings. The NPHiSD effi…
Numerical analysis for saddle dynamics of some semilinear elliptic problems
Lei Zhang, Xiangcheng Zheng, Shangqin Zhu
This work presents a numerical analysis of computing transition states of semilinear elliptic partial differential equations (PDEs) via the index-1 saddle dynamics, or equivalently…
Improved high-index saddle dynamics for finding saddle points and solution landscape
Hua Su, Haoran Wang, Lei Zhang +2
We present an improved high-index saddle dynamics (iHiSD) for finding saddle points and constructing solution landscapes, which is a crossover dynamics from gradient flow to tradit…