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Discrete Gradient Flows for Shape Optimization and Applications
Shape optimization scalar product gradient flow
2015/12/11
We present a variational framework for shape optimization problems
that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear a...
Random Conley-Markov Connection Matrix for Gradient Flows
Gradient Flows Random Conley-Markov Connection Matrix
2015/4/3
Morse Decomposition for Dynamical Systems on
compact metric spaces : φ : R × X → X, initiated by
Morse, was established by Morse, Smale, ect by using
the gradient–like flows for Morse decomposition...
Lecture Notes on Gradient Flows and Optimal Transport
Lecture Notes Gradient Flows Optimal Transport
2010/12/9
We present a short overview on the strongest variational formulation for gradient flows of geodesically -convex functionals in metric spaces, with applications to diffusion equations in Wasserstein s...