On identification of critical curves

Jaroslav Haslinger; Václav Horák

Aplikace matematiky (1990)

  • Volume: 35, Issue: 3, page 169-177
  • ISSN: 0862-7940

Abstract

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The paper deals with the problem of finding a curve, going through the interior of the domain Ω , accross which the flux u / n , where u is the solution of a mixed elliptic boundary value problem solved in Ω , attains its maximum.

How to cite

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Haslinger, Jaroslav, and Horák, Václav. "On identification of critical curves." Aplikace matematiky 35.3 (1990): 169-177. <http://eudml.org/doc/15621>.

@article{Haslinger1990,
abstract = {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.},
author = {Haslinger, Jaroslav, Horák, Václav},
journal = {Aplikace matematiky},
keywords = {critical curves; mixed elliptic boundary value problem; sensitivity analysis; mass movement problems; stability analysis; critical curves; sensitivity analysis; mass movement problems; stability analysis; mixed elliptic boundary value problem},
language = {eng},
number = {3},
pages = {169-177},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On identification of critical curves},
url = {http://eudml.org/doc/15621},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Haslinger, Jaroslav
AU - Horák, Václav
TI - On identification of critical curves
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 3
SP - 169
EP - 177
AB - 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.
LA - eng
KW - critical curves; mixed elliptic boundary value problem; sensitivity analysis; mass movement problems; stability analysis; critical curves; sensitivity analysis; mass movement problems; stability analysis; mixed elliptic boundary value problem
UR - http://eudml.org/doc/15621
ER -

References

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  1. J. Nečas, Les méthodes directes en théorie des equations elliptiques, Academia, Praha, 1967. (1967) MR0227584
  2. J. Haslinger P. Neittaanmäki, Finite Element Approximation for Optimal Shape Design: Theory and Applications, John Wiley & Sons, 1988. (1988) MR0982710

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