On a two-phase Serrin-type problem and its numerical computation
2020 ◽
Vol 26
◽
pp. 65
Keyword(s):
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.
1992 ◽
Vol 35
(1)
◽
pp. 136-144
◽
Keyword(s):
2021 ◽
Vol 1959
(1)
◽
pp. 012037
2009 ◽
Vol 27
(4)
◽
pp. 474-483
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Keyword(s):
1994 ◽
Vol 4
(1)
◽
pp. 91-105
◽
2021 ◽
Vol 15
(2)
◽
pp. 331-342
1998 ◽
Vol 12
(25)
◽
pp. 2599-2617
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