Examples

The best way to get started with QUINOPT is to look at some examples. Below is a list of demo problems of increasing difficulty, each of which introduces a new feature of QUINOPT. The last four examples, in particular, solve non-trivial problems from the field of fluid dynamics.

If you wish to know more about the theory behind QUINOPT, have look at this paper.

List of examples

• Feasibility of an integral inequality
• Feasibility of an integral inequality with boundary conditions
• Poincaré’s inequality with Dirichlet boundary conditions
• Wirtinger’s inequality
• Poincaré’s inequality for odd and periodic functions
• Lyapunov stability of a linear PDE
• Energy stability of a stress-driven shear flow
• Bounds on energy dissipation for a stress-driven shear flow
• Bounds on energy dissipation for plane Couette flow
• Energy stability of Bénard-Marangoni conduction at infinite Prandtl number

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