Geodesic
On identification of critical curves
Applications of Mathematics, Tome 35 (1990) no. 3, pp. 169-177
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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.
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.
DOI : 10.21136/AM.1990.104400
Classification : 35J25, 35J99, 49J20, 49K40, 74G99, 74H99
Keywords: critical curves; mixed elliptic boundary value problem; sensitivity analysis; mass movement problems; stability analysis 
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Haslinger, Jaroslav; Horák, Václav. On identification of critical curves. Applications of Mathematics, Tome 35 (1990) no. 3, pp. 169-177. doi: 10.21136/AM.1990.104400

[1] J. Nečas: Les méthodes directes en théorie des equations elliptiques. Academia, Praha, 1967. | MR

[2] J. Haslinger P. Neittaanmäki: Finite Element Approximation for Optimal Shape Design: Theory and Applications. John Wiley & Sons, 1988. | MR

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