Difference between revisions of "MIPDECO"
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Problem is to identify source to match an observed state, governed by Laplace equation with Dirichtlet boundary conditions. | Problem is to identify source to match an observed state, governed by Laplace equation with Dirichtlet boundary conditions. | ||
| − | + | {| border="1" cellpadding="1" cellspacing="1" | |
| − | {| border="1" cellpadding=" | ||
|- align="left" | |- align="left" | ||
| '''Type of PDE''' | | '''Type of PDE''' | ||
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| '''Class of Integers''' | | '''Class of Integers''' | ||
| Mesh-dependent & mesh-independent binary variables | | Mesh-dependent & mesh-independent binary variables | ||
| + | |- | ||
| + | | '''Type of Objective''' | ||
| + | | Least-squares (inverse problem) with possible regularization term | ||
| + | |- | ||
| + | | '''Type of Constraints''' | ||
| + | | Knapsack constraint on binary variables | ||
| + | |- | ||
| + | | '''Discretization''' | ||
| + | | Five-point finite difference stencil | ||
|} | |} | ||
Revision as of 16:27, 2 August 2016
Mixed-Integer PDE Constrained Optimization (MIPDECO) Test Problems
This page links to sets of MIPDECO test problems written in AMPL and described in a companion report.
Each problem includes a characterization in terms of type of PDE, class of integers, type of objective, type of constraints, and discretization scheme.
A tar-ball with all ampl models, data, and command files is available here. A tar-ball with the corresponding stub.nl files is available here.
Laplace Source Inversion
Problem is to identify source to match an observed state, governed by Laplace equation with Dirichtlet boundary conditions.
| Type of PDE | Laplace equation on [0,1]^2 with Dirichlet boundary conditions |
| Class of Integers | Mesh-dependent & mesh-independent binary variables |
| Type of Objective | Least-squares (inverse problem) with possible regularization term |
| Type of Constraints | Knapsack constraint on binary variables |
| Discretization | Five-point finite difference stencil |