|LECTURE:||MWF 1100 - 1150||BEXL 412||CRN 39581|
|Instructor:||R.E. Showalter||Kidder firstname.lastname@example.org|
The minimization of quadratic functions over closed convex subsets has classical applications to boundary-value problems for elliptic partial differential equations, variational inequalities and optimal control problems, penalty or augmented Lagrangian methods and mixed formulations. We shall develop these ideas and applications to boundary-value problems and algorithms for their approximation. These topics will be placed in the more general context of convex analysis, saddle points and Lagrange multipliers, primal and dual problems in Hilbert space. These concepts will be illustrated with examples from mechanics (internal or boundary obstacles, friction), fluid flow (Stokes or Bingham flow) and diffusion (heat conduction, porous media flow).Prerequisite: MTH 582 or MTH 512 or MTH 622.
The choice of Topics covered and Examples developed will depend in part on preferences of the class.
Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at their website. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.NOTES will be developed and made available during the term.