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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>2.2 Symmetrization and &quot;gluing together&quot; of a D.S.  B</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="2.2 Symmetrization and &quot;gluing together&quot; of a D.S.  B"><meta name="keywords" value="Guide6"><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=tex2html639 HREF="node12.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html645 HREF="node11.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html647 HREF="node14.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html649 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A HREF="../Guide6-18/node13.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide6-14/node13.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide6-10/node13.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html648 HREF="node14.html">2.3 Manipulation of a D.S.  B </A><B>Up: </B> <A NAME=tex2html646 HREF="node11.html">2 Manipulation of solutions</A><B> Prev: </B> <A NAME=tex2html640 HREF="node12.html">2.1 Manual construction of a D.S.  </A><B><A HREF="node2.html"	>Contents</A></B><HR SIZE=3 WIDTH="75&#37;"><H1><A NAME=SECTION03320000000000000000>2.2 Symmetrization and &quot;gluing together&quot; of a D.S.  B</A></H1><P><P><P><H2><A NAME=SECTION03321000000000000000>2.2.1 Symmetrization</A></H2><P><P><P>When a problem, for example in elasticity, presents a symmetry from a geometrical point, aswell as a physical data point of view, the calculations only need to be performed on half thedomain. The result obtained can then be symmetrized and &quot;glued&quot; to the preceding to construct the solutionon the whole domain.<P>Preprocessor <b> SYMBXX</b> is used to construct a symmetric D.S. <b> B</b> with respect to a line (plane) froma given D.S. <b> B</b>.<P><PRE>           SUBROUTINE SYMBEL(M,DM,NFB,NIB,NFBS,NIBS,NDIM,AA,BB,CC,DD)C  +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++C  AIM :  SYMMETRY TRIDIM WITH RESPECT TO A PLANE D A D.S. BC  ---    SYMMETRY BIDIM  WITH RESPECT TO A LINE D A D.S. BC  LIMITS :   ELASTICITY PROBLEMC  ------     THE D.O.F. ARE THE DISPLACEMENTSC  +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++</PRE><P>where<P><UL><LI> M and DM represent the super array,<LI> NFB, NIB are the file number and the level of the I.D.S. <b> B</b>,<LI> NFBS, NIBS  are the file number and the level of the O.D.S. <b> B</b>,<LI> NDIM is the space dimension,<LI> AA, BB, CC and DD are the coefficients defining the line (only the 3 first coefficients are used) or the plane of symmetry.</UL><P><DL COMPACT><DT>Remark:<DD> the same treatment applies to a thermal problem in which we consider the samestructure <b> B</b> twice and &quot;glue together&quot; the whole.<P> </DL><P><P><P><H2><A NAME=SECTION03322000000000000000>2.2.2 Gluing together</A></H2><P>Preprocessor <b> RECOXX</b> is used to construct the D.S.  <b> B</b> resulting from the gluing together of two <b> B</b>  structures while, in parallel, combining the corresponding <b> NOPO</b> structures.<P><P><P><HR SIZE=3 WIDTH="75&#37;"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html639 HREF="node12.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html645 HREF="node11.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html647 HREF="node14.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html649 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A HREF="../Guide6-18/node13.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide6-14/node13.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide6-10/node13.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html648 HREF="node14.html">2.3 Manipulation of a D.S.  B </A><B>Up: </B> <A NAME=tex2html646 HREF="node11.html">2 Manipulation of solutions</A><B> Prev: </B> <A NAME=tex2html640 HREF="node12.html">2.1 Manual construction of a D.S.  </A><B><A HREF="node2.html"	>Contents</A></B><BR> <HR><P><ADDRESS></ADDRESS></BODY></HTML>

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