Optimization Algorithms and Simulation Based Optimization
Challenges for optimization
Simulation First, then Optimization
Fluid Control by MEMS Devices (Tsai, Byrd,N)
Satisfying the Constraints (Newton Krylov)
First Difficulty: Failure of Newton-Krylov
Part I: Full Space Approach
Full Space Approach: ideal case
Full Space Approach: iterative method
Part II: Null Space Approach
Null Space Approach
Iterative method on null space of constraints
"Advantages of null space approach"
"Challenges of null space approach"
"One possible approach"
Null-Space Approach: Pros
Null-Space Approach: Cons
Part III: Unconstrained Formulation