• Aucun résultat trouvé

Domain decomposition methods for wave propagation. Mathematical and numerical aspects of wave propagation

N/A
N/A
Protected

Academic year: 2022

Partager "Domain decomposition methods for wave propagation. Mathematical and numerical aspects of wave propagation"

Copied!
6
0
0

Texte intégral

(1)

Proceedings Chapter

Reference

Domain decomposition methods for wave propagation. Mathematical and numerical aspects of wave propagation

GANDER, Martin Jakob, HALPERN, L., NATAF, F.

GANDER, Martin Jakob, HALPERN, L., NATAF, F. Domain decomposition methods for wave propagation. Mathematical and numerical aspects of wave propagation. In: Mathematical and numerical aspects of wave propagation (WAVES 2000) Santiago de Compostela (Spain ) . Philadelphia : Siam, 2000. p. 310-314

Available at:

http://archive-ouverte.unige.ch/unige:8291

Disclaimer: layout of this document may differ from the published version.

1 / 1

(2)

Æ

Æ

!

"

#$ % & #'%#(%#) %#* %

+

,

- #.% /'0

£

££

!" " #$" %&&& '(') * $+

'

Þ

(3)

-

- 1

, /%#.%

1 ,#.0#.% 22

,

/0,

/0

,

.

/.0,

/.0 /(0

3 +

/#4 %05

&6,',.( ,) '$

7 '$

8

#4 %

6/'0 6

/(0

/

9:

/00

/0,/

9:

/00

/0

/

9:

/00

/.0 ,/

9:

/ 00

/.0 /)0

;" ,9 .

<

/0,

<

/.0

<

/0,

<

/.0

<

/.0,

¾

<

/.0

/0,

9

/0

9

/0

9

/0

9

/0

¾

/40

5

,

,

¾

=

(4)

Æ

' +

/ 0, '

/0

/ 0,/0 /$0

-/.0 /0

,-

/.0 ,-

/.0 /0,

3 5

- 1

, /

0/.0

,

,

/

0 , /0 1

/.0

/

0 ,

/

0 ,

/.0

/

0 ,

/

0 ,

/.0 /*0

#.0 3

6

Æ

! " #

,/

/00/

9 /00,/

9

/0 0/

/00 />0

/0 /0 "

/

0/0,

¼

9(

¾

¾

¼

/(

! 0

/

0/0,

¼

9(

 

½

¾

¼

/(

!

0

/?0

,.. ;

+

5,

/

0

5,

9 /

0 /@0

! " $

% # &! '!

#.0

A /?0 ;

B ! Æ 5

# $

#.

% % # &!

5,

'

/

0

5,

9

'

/

0

/'.0

(

/0

(5)

% #.

0 ( #.

%

% # &! )*!

+

//

0!(0

!

1

C

C

6

B

+

& 1

 

·½

¼ ·½

·½

¼  ½

·½

½

·½

¼

9

·

¾

·½

¼ ·½

·½

¼

·½

¼  ½

¾

,

 

¼ ·½

¼  ½

¼

 ½

 ½

 ½

 

¾

¼ ·½

¼

¼  ½

¾

"6 ;

# %

-

C

5

# , /"

0 #

- /

0/

½

¾

0 . " # C

Æ $

6/"

0/'#C0

¾

6/"

0

% 6C

"

! DE

! 6

" #

B 1

,/%-

#.% 1 ,/.%-

#.% &

/(0

F

/

9:

/

00

/

0,/

9:

/

00

/

0

/ 9: /

00

/.

0,/ 9: /

00

/.

0

(6)

0 2 4 6 8 10 12 14 16 18 10 −14

10 −12 10 −10 10 −8 10 −6 10 −4 10 −2 10 0

n

error

Classical transfer Compatible transfer

, /

0 " /&'0&

/)0

/0,

¾

¾

9 9

/ 0

¾

¾

9 9

/ 0

¾

¾

9 9

/ 0

¾

¾

9 9

/ 0

¾

¾

¾

/''0

&

, /

0 3

/ 0,

/ 0,

9

3 B

:

3

6

&$ :

'

6

$

"!# $%&'()*

Æ +$, -

$./012345.64.7$!778

"1# - 9 %

:+$,!77;'<

".# = >

+,$- $!?!77?

"/# , - ' @ * >

+<*@:%AB,<C

D<99,!777

";# , - ' @ * >

! " " Æ +

"4# - < , #

$ & 15!7?8

Références

Documents relatifs

We present the algorithm of the RK4-IP method used for the purposes of the numerical study of the coherence properties of a fiber laser and we detail the embedded Runge-Kutta method

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

The dynamic modulus test has shown that Isosorbide Distillation Bottoms (IDB) can be used as a viable WMA additive in terms of performance when compared to the control group

L’objectif de ce mémoire est l’étude par simulation de la commande passive sur les systèmes électrotechnique avec une application sur le moteur dit asynchrone pour définir

D’après notre recherche bibliographique, la plupart des études sur les métaux liquides dans les cavités soumises à un gradient horizontal de températures ont

When the thickness of this intermediate layer is much smaller than the size of the domain, the physical problem with continuously varying parameters can be approximated by the

In this study, the process of wave propagation in weld joints including a flaw was simulated using elastic finite-difference time-domain (FDTD) method and a digitized

section on consent (Section 2), the TCPS explicitly discusses the consent of employees: “individuals who are approached to participate in a research project about their