Numerical identification of a coefficient in a parabolic quasilinear equation

Jan Neumann

Aplikace matematiky (1985)

  • Volume: 30, Issue: 2, page 110-125
  • ISSN: 0862-7940

Abstract

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In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem).

How to cite

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Neumann, Jan. "Numerical identification of a coefficient in a parabolic quasilinear equation." Aplikace matematiky 30.2 (1985): 110-125. <http://eudml.org/doc/15389>.

@article{Neumann1985,
abstract = {In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem).},
author = {Neumann, Jan},
journal = {Aplikace matematiky},
keywords = {quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example; quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example},
language = {eng},
number = {2},
pages = {110-125},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical identification of a coefficient in a parabolic quasilinear equation},
url = {http://eudml.org/doc/15389},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Neumann, Jan
TI - Numerical identification of a coefficient in a parabolic quasilinear equation
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 110
EP - 125
AB - In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem).
LA - eng
KW - quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example; quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example
UR - http://eudml.org/doc/15389
ER -

References

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  1. D. R. Richtmyer K. W. Morton, Difference methods for initial value problem;, Interscience Publishers, a division of John Wiley & Sons, 1967. (1967) Zbl0155.47502MR0220455
  2. J. L. Lions, Controle optimal de systèmes gouvernés par des équations aux dérivées partielles;, Paris, Dunod 1968. (1968) Zbl0179.41801MR0244606
  3. J. H. Mufti, Computational methods in optimal control problems, (Lecture Notes in Operations Research and Mathematical Systems, n. 27); Berlin-Heidelberg-New York, Springer Verlag 1979. (1979) Zbl0236.49025

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