Tuesday, July 28, 2026 - 14:15 in V5-148
Asymptotic compatibility of parametrized optimal design problems
A talk in the BI.discrete series by
Abner Salgado from University of Tennessee
| Abstract: |
Asymptotic compatibility, loosely speaking, refers to the unconditional convergence of solutions for some family of problems when two distinct parameters approach their limits simultaneously. In our context one parameter pertains discretization, whereas the other measures the degree of nonlocality. The goal, then, is to use nonlocal, discrete problems to approximate solutions to a local, continuous problem.
We develop an abstract asymptotic compatibility (AC) framework for families of optimal design problems, to demonstrate unconditional convergence of numerical schemes in the discretization limit and the limit of a modeling parameter. We apply this framework to two different classes of nonlocal optimal design problems: a nonlocal conductivity problem, and a model coming from peridynamics.
Joint work with Tadele Mengesha and Joshua M. Siktar
Within the CRC this talk is associated to the project(s): A7 |
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