, . . . 1, . 2.
, () . . , , . , .. [1, 2]. , , . .
. , , . , .
, . .
1 2 = /1
(1)
, , ej . , .
. 1 /1, .
, 1. at :
(2)
rtj ,
(2) , at xt X/X1 X1.
(2), 1 , . 1 ).
, , , (1). :
|
|
(3)
(4)
(1) , (3) 1 2 1 2, (4) 2 1.
,
(5)
(6)
(5), (6) , , 2 1 .
.
(1),
(7)
(7) . F1, F2.
(. 1):
(8)
(9)
- , - , - , - , - , 1 2 ; , .
. 1.
,
(10)
(8), (9)
(11)
(1) , (11):
(12)
(13)
(14)
(15)
(12) (15) (11)
(10), (3) (6) A1+A2+B1+B2<0. (7) .
, B1 B2 , , A1+A2<0.
(7) , , G<0 . , , , .
. m (m ). . , . i- ni (ni i- ). , .
( , ..).
, . , . .
|
|
, , ..
:
1. Duff I. S., Reid J. K., Scott J. A. The use of profile reduction algorithms with a frontal code. Int. J. Numer. Meth. Eng, 1989. 28. P. 2555-2568.
2. Fialko S. Yu., Kriksunov E. Z., Karpilovskyy V. S. A sparse direct multi-frontal solver in SCAD software // Proc. Of the CMM-2003 Computer Methods in Mechanics, June 3-6, 2003. Gliwice, Poland. P. 131-132.
681.14
.., .., .., ..