The optimization of the stationary heat equation with a variable right-hand side
Aplikace matematiky (1986)
- Volume: 31, Issue: 2, page 97-108
- ISSN: 0862-7940
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topMatyska, Ctirad. "The optimization of the stationary heat equation with a variable right-hand side." Aplikace matematiky 31.2 (1986): 97-108. <http://eudml.org/doc/15440>.
@article{Matyska1986,
abstract = {Solving the stationary heat equation we optimize the temperature on part of the boundary of the domain under investigation. First the Poisson equation is solved; both the Neumann condition on part of the boundary and the Newton condition on the rest are prescribed, the distribution of the heat sources being variable. In the second case, the heat equation also contains a convective term, the distribution of heat sources is specified and the Neumann condition is variable on part of the boundary.},
author = {Matyska, Ctirad},
journal = {Aplikace matematiky},
keywords = {distribution of heat sources; Neumann boundary condition; Newton boundary condition; stationary heat equation; Poisson equation; boundary value problem; distribution of heat sources; Neumann boundary condition; Newton boundary condition; stationary heat equation; Poisson equation},
language = {eng},
number = {2},
pages = {97-108},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The optimization of the stationary heat equation with a variable right-hand side},
url = {http://eudml.org/doc/15440},
volume = {31},
year = {1986},
}
TY - JOUR
AU - Matyska, Ctirad
TI - The optimization of the stationary heat equation with a variable right-hand side
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 2
SP - 97
EP - 108
AB - Solving the stationary heat equation we optimize the temperature on part of the boundary of the domain under investigation. First the Poisson equation is solved; both the Neumann condition on part of the boundary and the Newton condition on the rest are prescribed, the distribution of the heat sources being variable. In the second case, the heat equation also contains a convective term, the distribution of heat sources is specified and the Neumann condition is variable on part of the boundary.
LA - eng
KW - distribution of heat sources; Neumann boundary condition; Newton boundary condition; stationary heat equation; Poisson equation; boundary value problem; distribution of heat sources; Neumann boundary condition; Newton boundary condition; stationary heat equation; Poisson equation
UR - http://eudml.org/doc/15440
ER -
References
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