On a two-phase Serrin-type problem and its numerical computation
Analysis of PDEs
2021-09-14 v2
Abstract
We consider an overdetermined problem of Serrin-type with respect to an operator in divergence form with piecewise constant coefficients. We give sufficient condition for unique solvability near radially symmetric configurations by means of a perturbation argument relying on shape derivatives and the implicit function theorem. This problem is also treated numerically, by means of a steepest descent algorithm based on a Kohn-Vogelius functional.
Cite
@article{arxiv.1811.07156,
title = {On a two-phase Serrin-type problem and its numerical computation},
author = {Lorenzo Cavallina and Toshiaki Yachimura},
journal= {arXiv preprint arXiv:1811.07156},
year = {2021}
}
Comments
28 pages, 11 figures