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Adaptive Triangular-Quadrilateral Mesh Generation

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(1)Adaptive Triangular-Quadrilateral Mesh Generation Houman Borouchaki, Pascal Frey. To cite this version: Houman Borouchaki, Pascal Frey. Adaptive Triangular-Quadrilateral Mesh Generation. [Research Report] RR-2960, INRIA. 1996. �inria-00073738�. HAL Id: inria-00073738 https://hal.inria.fr/inria-00073738 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Adaptive Triangular-Quadrilateral Mesh Generation Houman BOROUCHAKI and Pascal J. FREY. N ˚ 2960 August 20, 1996 ` THEME 4. ISSN 0249-6399. apport de recherche.

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(320) dehadmˆifld X n n¦ T _‰fHb œŠp yn"\g`od bHT dmWW y X:b!`c\^n wb!W hp p XjƒlWHƒ n T   b¬  àdmW yd y d\obHT haWˆid `^yWH\cnvb!¢ haS ˆl`gT WW"X:tvf W yey y ˆiWH\^nŸhak~ˆfiœh p T \^\ohat ˆ=T X:tvflWHhb!d hjb!\g¦]h‰_~n&b!H`^\gYadŸ7Œq= \on¡Üƒ = ,Єi I ¢ SS TT W J~ˆl_ y FW = ÙT defik u\g`^y `g_~nŸd y bHdmWHn¡d T WX:\^wW p y X:WHn T b àdmW y d T W y W J‰haWX:WhId k y fItBW y p _ y W]¢ pb!h W ŒJ~lh~ƒibH„ `X:¦ WH_~n b p yb\^ à `odmbHW dmW y flb!kaT `odmnB\^‹X:d T \gy¨¬W"b!œ dm\^ffiyhnrI‹ dŠy J‰¦]ˆi_~_ b!p`^W \gdŸq== y \oÙn¡~fi de, ‚idmfl„ X p  ‚Ž©‹T WtB`^WfiX:hId©Wb!hI\^h~d©n n”ŒBb!Y]h ip ‚lp Pd T ž]W"W X:dm\cWHtvbHWHh n ¦žlb!_‰`gb!_s`gWH\^dŸnq‡b \cy nW Š, = b!h ‹]p ƒI„IŒ ‹ y WHf!nr sk~d WHtBW*dm\gž]ž]W W

(321) `gdmq]\c¢ tvWHS n4T b W W haffHy  X|Wb!ˆ `^\g¨WW W p YŠW b!p h ˆiW `gd WhsW*ˆiXjd T \gn/haf!\^X| sd b!T `H\cbHn/h X:WHX¥n TŠb!wIy bH\gX|haˆibHW `  T y bifln¡X d©b ], YWh¤ ƒŽŒ W p nrWHˆitBWHfin h p defn¡f!Œ  u, ==­ bHx h <6p deƒl\g X: WŠºfihW

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(323) Ù³ ‚ š hPd T WnrWHtBfih p dmWHnŸd‹d T W p fiX¥b!\gh|\cn d T Wb y WHbf!  bŽ_ahs\gdŠnm¦]_~b y W p WJ~hsW p q    ŒŒ   ܂HY  ;-' / ' 5. Õ.  O L?. UVU XWGYZ [\.

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(338) y d yf!\c Štn#d T \ghW p f fiy pX|W bHy \ghdef ¢ TS bT ž]WjW:tv\of nŸyefiy d WHy nŸfik~kafi\ct:h p W\^`ghaWˆXjX:WhWHd n n T   WHy n flX Übln&d T \gh¤WPWXjwsWb!pX:\obHks`u`gW:b!wIŒ \o‡n àdmf fy dd TT WW \onŸT fid y fika\ct:X|b!k b y y W|ˆi\gž]W

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(340) ,W = p W bHp h ˆlp W#`gŒ W, hsiˆiId ¢ T nS yT bHWjhaˆidmfiW"d ~b!`uWdŸnrœ k~W

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(342) y drX|œub!W`^W\g¨hjW p ,= W p ˆib!W"h `gp WhsŒ ˆi,Џld T ¢n S y b!T haWˆlWnŸd ~y W

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(345) i l ).    $.  . †S T  W:bld ty T\obHha‚"ˆinŸ_s_a`ok~b Wy y X:nŸfiW¬han \cTt~T fHblœ n&~b!d WW} h WqIb hap fibH`kap dmn¡W p Œ i„P l ide "\gX:\onWHbHn¡ka\gkah¤`g\^d W T p W:dmbHf"hab \onŸ#fid †#y fi­uka†#\ct: i ItvŒfl‚"hdeb!W\ wy  àdNfl\g\g`Üh ¢ fœ y WHp b W |y n dmT f¤fIt \ psWn hIbHdmd¡\Ä àdq T W#d T d Wy bHn \gT`g\^fIhat ˆ4W ‹ p ~ˆifiW _aT h b¬p ž]b WNy q ºW

(346) `oWbh q]W p y Wdeb!WHh tvp deW œ¡p ¢b]S W blt y T WˆiX:\^fiWHh~n n=T b!b h p p b!ksWdmž]\gflWhªh Td T biWn ~S WT WWjh¦  à_~fi`gb `^p fHyœ \^`oW bHp dmW y qb!`”X: l WHn \gTdmW T y b!biden#\gfl~h~Wn#Wh¤f! Šfisb d©#b!\^bhažW \^p W y   «ey []fideX›f%]WHd T n‡Wd y d \cy b!\chab!ˆlha`gˆlWv_a« ~`ob biy nŸW X:p WHnrn fiT `^ž]bHW h y p  Œ d T ÜW ¢ bX:ineWnrfIy ˆitv\g\chsb!dmˆ:W pdmWHX:t T Whad \cy ¦ \c_st W]X|¢ b!S kT ‹IW:dmfœ _aT h fip `gW=W y k netvy ffIytvW"WHnmd n T W"T bit

(347) n#b!k~d bbH]aW\g`^h \gdm\^iWH„ln*‚ifH  nrd W¬T tvW#fikh yp fin k~fHf] "nŸW ­ p x d < y \cb!deha\gX:ˆl`gWW  #x T =¬  ƒiƒ y T "¨p ©‹y i„i l 2nŸWHtvfih p n¥ àf y d T W ­u®¯ nrfl`gž]W y b!h p ‚l 2nŸWHtvfih p n¥ àf y d T W X:WHn \ghaˆy k fItBW T _ W]¢ T y T y T  ® ^ \ i ˆ _ = W  Œ | n H f Š œ ‡ n d  W ^ \ a h g \ e d o \ H b  ` o \ r n l f d i f a k c \ & t : X H W n Ù  g \ e d W H b m d ^ \ i f  h ! ¡  ¡ œ g \ d

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(357) dfly _a\ctd"X|‚ "ib!„k ¢ y W`obHdmW p defd T W,J~h‰b!`”X:WHn T \on¡n T fHœ¡hflh J~ˆl_ y WHn#Œ

(358) ‚‹~œ T W y WbHd WHS biT t W T yž]WHW b y pdmW

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