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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE> pent3r2c</TITLE><LINK REL=STYLESHEET TYPE="text/css" HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value=" pent3r2c"><meta name="keywords" value="Guide7"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html2226 HREF="node140.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html2232 HREF="node127.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html2234 HREF="node142.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html2236 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A NAME=tex2html2237 HREF="node177.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif" ALT="index"></A><A HREF="../Guide7-18/node141.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide7-14/node141.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide7-10/node141.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Suiv.: </B> <A NAME=tex2html2235 HREF="node142.html"> tetrm3t1</A><B>Sup.: </B> <A NAME=tex2html2233 HREF="node127.html">6 Fiches techniques</A><B> Pr閏.: </B> <A NAME=tex2html2227 HREF="node140.html"> pent3r1d</A><B><A HREF="node177.html" >Index</A></B><B><A HREF="node2.html" >Table des mati鑢es</A></B><HR SIZE=3 WIDTH="75%"><H1><A NAME=SECTION067140000000000000000> pent3r2c</A></H1><P><DIV ALIGN=center>Biblioth鑡ue '<b> Thermique</b>' -El閙ent fini: <b> PENT 3R2C</b><A NAME=9609> </A> <BR> D. Steer, INRIA </DIV><P><P><P><b> DESCRIPTION DE L'ELEMENT</b> <P><P><UL><LI> Dimension de l'espace : 3, 閘閙ent de volume<LI> Inconnues : <b>u</b>, la temp閞ature<LI> Formulation variationnelle : en 'temp閞ature'<LI> Num閞o de code : <b>100 023</b> <LI> num閞o de code g閛m閠rique : 6 (penta鑔re)<LI> Interpolation : <b>P2</b>-Lagrange isoparam閠rique<LI> Nombre de points : 15 <LI> Nombre de types de points : 1<LI> Les points sont d閒inis par leurs seules coordonn閑s : <b>NCACAR=0</b><LI> Nombre de noeuds : 15<LI> Nombre de types de noeuds : 1<LI> Type des noeuds : les sommets et les milieux des ar阾es, 1 d.l. par noeud, 'VN' pour <b>u</b><LI> Points et noeuds sont identiques : <b>NCOPNP=1</b><LI> Fichier POBA : n閏essaire<LI> Blocage (S.D. BDCL) : <b>u</b>(noeud) <b>=</b> valeur <LI> Sous-programmes utilisateurs : oui</UL><P><P><A NAME=9724> </A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img851.gif"><BR><STRONG>Figure:</STRONG> <i> El閙ent PENT 3R2C</i><A NAME=9720iElmentPENT3R2Ci9720> </A><BR><P><P>Coordonn閑s sur l'閘閙ent de r閒閞ence: <P> <P><P><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img379.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img380.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img381.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img382.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img458.gif"> <P><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img459.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img482.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img483.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img484.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img485.gif"> <P> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img486.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img487.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img488.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img489.gif"> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img490.gif"> <P><P><b> INTEGRATION NUMERIQUE</b> <P><P><DL COMPACT><DT>-<DD> Int間ration de volume: Int間ration num閞ique aux 21 points de Gauss. <P> <UL><LI> <b>npiv=21</b><P><DIV ALIGN=center><TABLE COLS=5 BORDER FRAME=BOX RULES=GROUPS><COLGROUP><COL ALIGN=LEFT><COLGROUP><COL ALIGN=RIGHT><COLGROUP><COL ALIGN=RIGHT><COLGROUP><COL ALIGN=RIGHT><COLGROUP><COL ALIGN=RIGHT><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>Points <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img333.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>x</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>y</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>z</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> poids <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img337.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>1 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>2 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>3 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>4 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>5 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>6 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>7 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>e</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img464.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>8 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img465.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>9 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img465.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>10 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img465.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>11 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img466.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>12 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img466.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>13 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img466.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>14 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>f</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img467.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>15 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>16 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>17 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>d</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>b</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img462.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>18 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>19 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>20 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>a</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>c</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img463.gif"> </TD></TR></TBODY><TBODY><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP>21 </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif"> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <b>g</b> </TD><TD VALIGN=BASELINE ALIGN=RIGHT NOWRAP> <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img464.gif"> </TD></TR></TBODY></TABLE><P><P><P> Tableau 3R2D : <i> Formule ⌨️ 快捷键说明
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