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critical curves; mixed elliptic boundary value problem; sensitivity analysis; mass movement problems; stability analysis
The paper deals with the problem of finding a curve, going through the interior of the domain $\Omega$, accross which the flux $\partial u/\partial n$, where $u$ is the solution of a mixed elliptic boundary value problem solved in $\Omega$, attains its maximum.
[1] J. Nečas: Les méthodes directes en théorie des equations elliptiques. Academia, Praha, 1967. MR 0227584
[2] J. Haslinger P. Neittaanmäki: Finite Element Approximation for Optimal Shape Design: Theory and Applications. John Wiley & Sons, 1988. MR 0982710
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