Title:
|
Application of Rothe's method to evolution integrodifferential systems (English) |
Author:
|
Slodička, Marián |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
30 |
Issue:
|
1 |
Year:
|
1989 |
Pages:
|
57-70 |
. |
Category:
|
math |
. |
MSC:
|
45K05 |
MSC:
|
47H15 |
MSC:
|
58D25 |
MSC:
|
65J15 |
MSC:
|
65M20 |
MSC:
|
65R20 |
idZBL:
|
Zbl 0674.65110 |
idMR:
|
MR995701 |
. |
Date available:
|
2008-06-05T21:36:32Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106703 |
. |
Reference:
|
[1] Bermudez A., Viaño J. M.: Etude de deux schemas numériques pour les équations de la thermoélasticité.RAIRO Anal. numérique 17 (1983), 121-136. MR 0705448 |
Reference:
|
[2] Dafermos C. M.: On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity.Arch. Rat. Mech. Anal. 29 (1968), 241-271. Zbl 0183.37701, MR 0233539 |
Reference:
|
[3] Duvaut G., Lions J. L.: Inéquations en thermoelasticite et magnetohydrodynamique.Arch. Rat. Mech. Anal. 46 (1972), 241-279. Zbl 0264.73027, MR 0346289 |
Reference:
|
[4] Chou S. I., Wang C. C.: Estimates of error in finite element approximate solutions to problems in linear thermoelasticity. Part 1. Computationally coupled numerical schemes.Arch. Rat. Mech. Anal. 76 (1981), 263-299. MR 0636964 |
Reference:
|
[5] Gajewski H., Gröger K., Zacharias K.: Nichtiineare Operatorgleichungen und Operatordifferentialgleichungen.Akademie-Verlag, Berlin, 1974. |
Reference:
|
[6] Kačur J.: Method of Rothe in evolution equations.Teubner Texte zur Mathematik, 80, Leipzig, 1985. MR 0834176 |
Reference:
|
[7] Kačur J.: Application of Rothe's method to evolution integrodifferential equations.J. reine angew. Math. 388 (1988), 73-105. Zbl 0638.65098, MR 0944184 |
Reference:
|
[8] Kačur J., Ženíšek A.: Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems.Aplikace matematiky 31 (1986), 190-223. MR 0837733 |
Reference:
|
[9] Kufner R. E., John O., Fučík S.: Function spaces.Academia, Prague, 1977. |
Reference:
|
[10] Nickell R. E., Sackman J. L.: Approximate solutions in linear coupled thermoelasticity.J. Appl. Mech. 35 (1968), 255-266. Zbl 0159.55605 |
Reference:
|
[11] Nickell R. E., Sackman J. L.: Variational principles for linear coupled thermoelasticity.Q. Appl. Math. 26 (1968), 11-26. Zbl 0165.27504, MR 0231576 |
Reference:
|
[12] Rektorys K.: The method of discretization in time and partial differential equations.D. Reidel Publ. Co 1982, Dordrecht - Boston - London. Zbl 0522.65059, MR 0689712 |
Reference:
|
[13] Ženíšek A.: Finite element methods for coupled thermoelasticity and coupled consolidation of clay.RAIRO Anal. numerique 18 (1984), 183-205. MR 0743885 |
. |