https://github.com/daleroberts/obstacle-problem

Solve an obstacle problem (i.e, a partial differential equation with constraints)
https://github.com/daleroberts/obstacle-problem

mathematics nonlinear optimisation-theory partial-differential-equations

Last synced: 22 days ago
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Solve an obstacle problem (i.e, a partial differential equation with constraints)

• Host: GitHub
• URL: https://github.com/daleroberts/obstacle-problem
• Owner: daleroberts
• Created: 2015-04-25T04:57:44.000Z (over 9 years ago)
• Default Branch: master
• Last Pushed: 2015-04-25T10:48:55.000Z (over 9 years ago)
• Last Synced: 2023-07-15T03:34:12.341Z (over 1 year ago)
• Topics: mathematics, nonlinear, optimisation-theory, partial-differential-equations
• Language: Python
• Size: 395 KB
• Stars: 4
• Watchers: 4
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Obstacle problem

The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which is constrained to lie above a given obstacle. It is deeply related to the study of minimal surfaces and the capacity of a set in potential theory as well. Applications include the study of fluid filtration in porous media, constrained heating, elasto-plasticity, optimal control, and financial mathematics.

See [wikipedia](http://en.wikipedia.org/wiki/Obstacle_problem).

![fig1](https://rawgithub.com/daleroberts/obstacle-problem/master/figures/fig1-0.png)

![fig2](https://rawgithub.com/daleroberts/obstacle-problem/master/figures/fig2-0.png)