Task Level Parallelization for Seismic Modeling and Inversion
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE. Task Level Parallelization for Seismic Modeling and Inversion Michel Kern , Roelof Versteeg , William W. Symes. N˚ 2366 Octobre 1994. PROGRAMME 6 Calcul scientifique, modélisation et logiciel numérique. ISSN 0249-6399. apport de recherche. 1994.
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(110) dC½`Kc dKpEis sydacEs²a¡Kic if>nIpEdaw¢xSiw¢x dC½IxSrust½9dNc gAqrnf uLs@x `fµxx Kisy`ii~rqKAuLstn©ugAux i~hr·$ x Ki & ) `fCc x@dC½x KipEd~ria²a¡ruLstusâiE£ighrn©u{z`i~ uw´z`eaqKcSi¾¤ruLp s Kd>¤sx Ki-sy`ii~rqK7daKxfouwKi~®Nicsyq`sx Ki-wrqKgA`ic,dC½mKc dKpEis sydNcs½9dNc1f`fCcEfon{nviEn ½9cEfapExyudawÄdµ½taÁ !°}Ka¾ !°}`fCw`~a !°² Amdahl’s law. 8 7. f=90% f=95% f=99%. Speedup. 6 5 4 3 2 1. 1. 2. 3. 4 5 6 Number of processors. 7. 8. &uveNqKc i$¾ D C g°~KfCrn ¿s nLf¤ ¦w-daqKc@pfasyia}Cx ruLs g-ifCw`s xS`fCx¤i
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(112) x `fCwx Ki½9qrn{nwKdaw 8Yn{uwKifCcuwr®aics¦udawdC½ x Ki4KcSi®audaq`ssyipExyudaw²¡ruLsmpEdNg-is 6. æ éÝà.
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(122) j @ I²@¡ruLspfCwKwKdaxh`i´~rdawKi U ³¯iÄrnLfCwGxSdfCKrn·GdaqKchg-ix KdK~x ducpSKd B ghd~riEn{uwKe GsyiV rn{uw`~Nn·a}4fasx Kic iuLs-ghdac iuw¢xSic~ri`iw`~riw`pEi7`ixy¤iiwxfasy¹Ks² 6KdNcAuw`syxfCw`pEia}pEdag-KqKxfµxyudaw`s s `fCc iAx cfo®aiE$n 8êxyug-iAxfCrnis²¡ruLs ¤ u©n{nVwKii~xSd°i-iEux Kic c ipEdag-KqKxSi~}¤ruLp uLs¤fasyxSiE½9qrn±}dac s iw¢x-xSd f>n©nKc dpEisSsydacs² C nLsyd`}â§@icsyx iie´`fNs-syKdC¤wx `fCx,uxAuLshg-dac iiE¼ pSuiwrx-x dpEdNg-KqKx i s i®aicfonsyKdaxs
(123) fCxVdaw`pEia}KsydAfas
(124) x d/fµg-dac xyuªixSKi4c ifN~NuvwKeAdC½ x Kisyix cfo®aiEn`xyug-is²r¡rq`s}r¤miwKii~ xSd°g-dK~Nu{½9·daqKc`fas¦uLp ½9cfµg-i¤dac ¹x d°fappEdaghg-d~Kfµx i$x Kis ipS`fCwKeais;²K³´iAKda`iAx d`i-fCrniAx d cSi`dac xdawx ruLs4fµKrn©uLpfCx uvdNwÄuwx Ki wKifCc½êqKx qKc ia². ( / * m+h. % Ì ¡ruLs ¤dac ¹¤fas`fµc xyuLfon{n·syqKK`dNc x i~r·Äx KifCxyudaw`fon¬¢pSuiw`pEi 6KdaqKw`~Kfµxyudaw}x Ki¼ pEihdC½ fo®>fon isyifCcEp } x Ki¡iE£`fas 4idaKr·supf>nb@fµcfon{niEn4lVdaghKqKxfCxyudawbâc dayipEx}x Ki¬¢pSrnvqKgAic eaic 6 daqKw`~Kf8 xyudaw}fCw`~º¡Ki´
(125) uLpEi ¦w¢®Nics¦udaw b@c dNipExo²V¡yb ¬a`daw`s dacs½9dacaµfCc i C ~r®CfCw`pEi 4idaKr·supf>n } C ghdpEdb@c dK~rq`pExyudawºlVd`²}&lVdawKdKpEdĦw`pC²}@lVcEf·isyifCcEp ´¦w`pC²7 } Rt£¢£Kdaw´b@cSd~rq`pExyudawisyifµcp lVd`²} ±wrx icfapEx uv®Ni ix¤dacS¹°¡ipSKwKdCndaeCuis}¨daru{ntisyifµcp fCw`~«i®aiEndaKg-iwrx lVdNc ²}KfCw`~Ä¡&iE£`fapEd-±w`pC² ¡KiAfCqKx KdacEsVxS`fCwK¹ ¨ÂuLpS`fCiEntb ifCcyng°fµwÄfCw`~§uc eCuwruLf°¡&dacpEªdaw½êdacKiEnr½êqrnâ~NuLs pEq`sSs¦udaw`s². . æ[Z ã3\\.
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(128) 3 = 4 .
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(133) V}¢K DÃ a& Er a¾K}KNj ¢² >¿ @ C n{uwKiÀ
(134) daqKcSeaidCuLs}Kb@fCx cyuLpS¹ &fou{n©n·a}fCw`~ d¢iEndC½@§@icsyx iie²V¡Ki$¨fCc g-dNq`s¦ug-d~riEn±²@¦w ² §@ics 8 xSiie$fCw`~ /² cfCq}Ci~Nux dacEs} = ( (3+?GN ( 13
(135) 9&) *,%' & G )
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(137) fCw`~7§/²
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(142) uL~rea i fCxyudaw`fon &fC`dacEfCx dac ·a} 6 iKc q`fCc ·aa ² > @Al² C ²I ! ² d¢fCc ia² %'%
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(144) uLpEi ¦w¢®Nics¦udaw bâc dayipEx}r
(145) uLpEi <wru®aics¦uxy·a} aaK² >¿ @$¨ÂuLpSKiEn icSwGfCw`~´³ºu{n{n{ufµg ³X²
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(150) )( )%'(3 ( a} µ D¿ HE C`}KoaaK² > @ §A²¬`²¬aqKw`~ricfµgÄ } /² C ² 4iEuLsyx=} PK²«dawKe¢fµc cfK}@fCw`~¥ ²¨fCw`p Ki¹² ¡ Ki bâ§1¨ pEdaw`pEqKc c iwrx pEdNg-KqKxyuwKes ·syxSiYg D R@®adCnqKxyudaw}âiE£icyuiw`pEi fµw`~x c iw`~Ks;² =
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(168) Unité de recherche Inria Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 Villers Lès Nancy Unité de recherche Inria Rennes, Irisa, Campus universitaire de Beaulieu, 35042 Rennes Cedex Unité de recherche Inria Rhône-Alpes, 46 avenue Félix Viallet, 38031 Grenoble Cedex 1 Unité de recherche Inria Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex Unité de recherche Inria Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis Cedex. Éditeur Inria, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) ISSN 0249-6399.
(169)
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