doc/user/finleyelements.tex

%
% $Id$
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%           Copyright 2003-2007 by ACceSS MNRF
%       Copyright 2007 by University of Queensland
%
%                http://esscc.uq.edu.au
%        Primary Business: Queensland, Australia
%  Licensed under the Open Software License version 3.0
%     http://www.opensource.org/licenses/osl-3.0.php
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%

\setlength{\unitlength}{1mm}

\newsavebox{\HLa}
\savebox{\HLa}(0,0)
  {\put(0,0){\circle*{2}}
   \thicklines \put(1,0){\line(1,0){28}}
   \put(30,0){\circle*{2}} }

\newsavebox{\HLathin}
\savebox{\HLathin}(0,0)
  {\put(0,0){\circle{2}}
   \thinlines \put(1,0){\line(1,0){28}}
   \put(30,0){\circle{2}} }

\newsavebox{\VLa}
\savebox{\VLa}(0,30)
  {\put(0,0){\circle*{2}}
   \thicklines \put(0,1){\line(0,1){28}}
   \put(0,30){\circle*{2}} }

\newsavebox{\VLathin}
\savebox{\VLathin}(0,30)
  {\put(0,0){\circle{2}}
   \thinlines \put(0,1){\line(0,1){28}}
   \put(0,30){\circle{2}} }

\newsavebox{\SLax}
\savebox{\SLax}(0,30)
  {\thicklines \put(0,0){\line(-1,1){30}}
   \put(0,0){\circle*{2}}
   \put(-30,30){\circle*{2}} }

\newsavebox{\SLaa}
\savebox{\SLaa}(0,15)
  {\thicklines \put(0,0){\line(-4,3){20}}
   \put(0,0){\circle*{2}}
   \put(-20,15){\circle*{2}} }

\newsavebox{\SLab}
\savebox{\SLab}(0,-15)
  {\thicklines \put(0,0){\line(-4,-3){20}}
   \put(0,0){\circle*{2}}
   \put(-20,-15){\circle*{2}} }

\newsavebox{\SLabthin}
\savebox{\SLabthin}(0,-15)
  {\thinlines \put(-0.7,-0.7){\line(-4,-3){18.7}}
   \put(0,0){\circle{2}}
   \put(-20,-15){\circle{2}} }

\newsavebox{\SLac}
\savebox{\SLac}(0,15)
  {\thicklines \put(0,0){\line(-2,3){10}}
   \put(0,0){\circle*{2}}
   \put(-10,15){\circle*{2}} }

\newsavebox{\SLacthin}
\savebox{\SLacthin}(0,15)
  {\thinlines \put(0,0){\line(-2,3){9.4}}
   \put(0,0){\circle{2}}
   \put(-10,15){\circle{2}} }


\newsavebox{\HLd}
\savebox{\HLd}(0,0)
  {\put(0,0){\circle*{2}}
   \put(10,0){\circle*{2}}
   \thicklines \put(1,0){\line(1,0){28}}
   \put(20,0){\circle*{2}}
   \put(30,0){\circle*{2}} }

\newsavebox{\HLdthin}
\savebox{\HLdthin}(0,0)
  {\put(0,0){\circle{2}}
   \put(10,0){\circle{2}}
   \thinlines \multiput(1,0)(10,0){3}{\line(1,0){8}}
   \put(20,0){\circle{2}}
   \put(30,0){\circle{2}} }

\newsavebox{\VLd}
\savebox{\VLd}(0,30)
  {\put(0,0){\circle*{2}}
   \put(0,10){\circle*{2}}
   \thicklines \put(0,1){\line(0,1){28}}
   \put(0,20){\circle*{2}}
   \put(0,30){\circle*{2}} }

\newsavebox{\VLdthin}
\savebox{\VLdthin}(0,30)
  {\put(0,0){\circle{2}}
   \put(0,10){\circle{2}}
   \thinlines \multiput(0,1)(0,10){3}{\line(0,1){8}}
   \put(0,20){\circle{2}}
   \put(0,30){\circle{2}} }

\newsavebox{\SLf}
\savebox{\SLf}(0,30)
  {\thicklines \put(0,0){\line(-1,1){30}}
   \put(0,0){\circle*{2}}
   \put(-10,10){\circle*{2}}
   \put(-20,20){\circle*{2}}
   \put(-30,30){\circle*{2}} }

\newsavebox{\SLad}
\savebox{\SLad}(0,15)
  {\thicklines \put(0,0){\line(-4,3){20}}
   \put(0,0){\circle*{2}}
   \put(-6.66,5){\circle*{2}}
   \put(-13.33,10){\circle*{2}}
   \put(-20,15){\circle*{2}} }

\newsavebox{\SLbd}
\savebox{\SLbd}(0,-15)
  {\thicklines \put(0,0){\line(-4,-3){20}}
   \put(0,0){\circle*{2}}
   \put(-6.66,-5){\circle*{2}}
   \put(-13.33,-10){\circle*{2}}
   \put(-20,-15){\circle*{2}} }

\newsavebox{\SLbdthin}
\savebox{\SLbdthin}(0,-15)
  {\thinlines \multiput(-0.7,-0.7)(-6.66,-5){3}{\line(-4,-3){5.1}}
   \put(0,0){\circle{2}}
   \put(-6.66,-5){\circle{2}}
   \put(-13.33,-10){\circle{2}}
   \put(-20,-15){\circle{2}} }

\newsavebox{\SLcd}
\savebox{\SLcd}(0,15)
  {\thicklines \put(0,0){\line(-2,3){10}}
   \put(0,0){\circle*{2}}
   \put(-3.33,5){\circle*{2}}
   \put(-6.66,10){\circle*{2}}
   \put(-10,15){\circle*{2}} }

\newsavebox{\SLcdthin}
\savebox{\SLcdthin}(0,15)
  {\thinlines \multiput(-0.6,0.8)(-3.33,5){3}{\line(-2,3){2.35}}
   \put(0,0){\circle{2}}
   \put(-3.33,5){\circle{2}}
   \put(-6.66,10){\circle{2}}
   \put(-10,15){\circle{2}} }

\newsavebox{\HLe}
\savebox{\HLe}(0,0)
  {\put(0,0){\circle*{2}}
   \put(15,0){\circle*{2}}
   \thicklines \put(1,0){\line(1,0){28}}
   \put(30,0){\circle*{2}} }

\newsavebox{\HLethin}
\savebox{\HLethin}(0,0)
  {\put(0,0){\circle{2}}
   \put(15,0){\circle{2}}
   \thinlines \multiput(1,0)(15,0){2}{\line(1,0){13}}
   \put(30,0){\circle{2}} }

\newsavebox{\VLe}
\savebox{\VLe}(0,30)
  {\put(0,0){\circle*{2}}
   \put(0,15){\circle*{2}}
   \thicklines \put(0,1){\line(0,1){28}}
   \put(0,30){\circle*{2}} }

\newsavebox{\VLethin}
\savebox{\VLethin}(0,30)
  {\put(0,0){\circle{2}}
   \put(0,15){\circle{2}}
   \thinlines \multiput(0,1)(0,15){2}{\line(0,1){13}}
   \put(0,30){\circle{2}} }

\newsavebox{\SLe}
\savebox{\SLe}(0,30)
  {\thicklines \put(0,0){\line(-1,1){30}}
   \put(0,0){\circle*{2}}
   \put(-15,15){\circle*{2}}
   \put(-30,30){\circle*{2}} }

\newsavebox{\SLae}
\savebox{\SLae}(0,15)
  {\thicklines \put(0,0){\line(-4,3){20}}
   \put(0,0){\circle*{2}}
   \put(-10,7.5){\circle*{2}}
   \put(-20,15){\circle*{2}} }

\newsavebox{\SLbe}
\savebox{\SLbe}(0,-15)
  {\thicklines \put(0,0){\line(-4,-3){20}}
   \put(0,0){\circle*{2}}
   \put(-10,-7.5){\circle*{2}}
   \put(-20,-15){\circle*{2}} }

\newsavebox{\SLbethin}
\savebox{\SLbethin}(0,-15)
  {\thinlines \multiput(-0.7,-0.7)(-10,-7.5){2}{\line(-4,-3){8.4}}
   \put(0,0){\circle{2}}
   \put(-10,-7.5){\circle{2}}
   \put(-20,-15){\circle{2}} }

\newsavebox{\SLce}
\savebox{\SLce}(0,15)
  {\thicklines \put(0,0){\line(-2,3){10}}
   \put(0,0){\circle*{2}}
   \put(-5,7.5){\circle*{2}}
   \put(-10,15){\circle*{2}} }

\newsavebox{\SLcethin}
\savebox{\SLcethin}(0,15)
  {\thinlines \multiput(-0.6,0.8)(-5,7.5){2}{\line(-2,3){3.9}}
   \put(0,0){\circle{2}}
   \put(-5,7.5){\circle{2}}
   \put(-10,15){\circle{2}} }

%=====================================================================
%
%   order 1
%   -------
%

\begin{figure}


\begin{picture}(170,210) \thicklines


\put(20,205){\circle*{2}}
\put(10,195){\parbox[t]{45mm}
             \finleyelement{Point1}}

\put(90,205){\usebox{\HLa}}
\put(90,195){\parbox[t]{45mm}
             \finleyelement{LINE2} }

\put(10,145){\usebox{\HLa}}
\put(40,145){\usebox{\SLax}}
\put(10,145){\usebox{\VLa}}
\put(10,135){\parbox[t]{45mm}
             \finleyelement{Tri3} }

\put(90,145){\usebox{\HLa}}
\put(90,175){\usebox{\HLa}}
\put(90,145){\usebox{\VLa}}
\put(120,145){\usebox{\VLa}}
\put(90,135){\parbox[t]{45mm}
             \finleyelement{Rec4} }

\put(50,90){\usebox{\HLa}}
\put(80,90){\usebox{\SLax}}
\put(50,90){\usebox{\VLa}}
\put(80,90){\usebox{\SLac}}
\put(70,105){\usebox{\SLabthin}}
\put(70,105){\usebox{\SLaa}}
\put(50,80 ){\parbox[t]{45mm}
             \finleyelement{Tet4} }

\put(90,20){\usebox{\HLa}}
\put(90,50){\usebox{\HLa}}
\put(90,20){\usebox{\VLa}}
\put(120,20){\usebox{\VLa}}
\put(110,35){\usebox{\SLabthin}}
\put(140,35){\usebox{\SLab}}
\put(110,65){\usebox{\SLab}}
\put(140,65){\usebox{\SLab}}
\put(110,35){\usebox{\HLathin}}
\put(110,65){\usebox{\HLa}}
\put(110,35){\usebox{\VLathin}}
\put(140,35){\usebox{\VLa}}
\put(90,10 ){\parbox[t]{45mm}
             \finleyelement{Hex8} }

% nummerierung der punkte:
\put(19,208){{\it 1}} % Point
\put(89,208){{\it 1}} % line
\put(119,208){{\it 2}}
\put(6,174){{\it 3}} % Triangle
\put(6,144){{\it 1}}
\put(43,144){{\it 2}}
\put(86,174){{\it 4}} % quadrilateral
\put(86,144){{\it 1}}
\put(123,174){{\it 3}}
\put(123,144){{\it 2}}
\put(46,119){{\it 4}} % Tetrahedron
\put(46,89){{\it 1}}
\put(83,89){{\it 2}}
\put(73,104){{\it 3}}
\put(86,49){{\it 5}} % Hexahedron
\put(86,19){{\it 1}}
\put(123,49){{\it 6}}
\put(123,19){{\it 2}}
\put(106,64){{\it 8}}
\put(106,34){{\it 4}}
\put(143,64){{\it 7}}
\put(143,34){{\it 3}}

\end{picture}
\caption{\label{FINLEY.FIG:1} Elements of order 1}
\end{figure}
%=====================================================================
%
%
%   order 2
%   -------
%   (boxes in 'fesubelm')


\begin{figure}
\setlength{\unitlength}{1mm}


\begin{picture}(170,210) \thicklines

\put(20,205){\circle*{2}}
\put(10,195){\parbox[t]{45mm}
             \finleyelement{Point1} }

\put(90,205){\usebox{\HLe}}
\put(90,195){\parbox[t]{45mm}
             \finleyelement{LINE3} }

\put(10,145){\usebox{\HLe}}
\put(40,145){\usebox{\SLe}}
\put(10,145){\usebox{\VLe}}
\put(10,135){\parbox[t]{45mm}
             \finleyelement{Tri6} }

\put(90,145){\usebox{\HLe}}
\put(90,175){\usebox{\HLe}}
\put(90,145){\usebox{\VLe}}
\put(120,145){\usebox{\VLe}}
\put(90,135){\parbox[t]{45mm}
             \finleyelement{Rec8} }

\put(50,90){\usebox{\HLe}}
\put(80,90){\usebox{\SLe}}
\put(50,90){\usebox{\VLe}}
\put(80,90){\usebox{\SLce}}
\put(70,105){\usebox{\SLbethin}}
\put(70,105){\usebox{\SLae}}
\put(50,80 ){\parbox[t]{45mm}
             \finleyelement{Tet10} }

\put(90,20){\usebox{\HLe}}
\put(90,50){\usebox{\HLe}}
\put(90,20){\usebox{\VLe}}
\put(120,20){\usebox{\VLe}}
\put(110,35){\usebox{\SLbethin}}
\put(140,35){\usebox{\SLbe}}
\put(110,65){\usebox{\SLbe}}
\put(140,65){\usebox{\SLbe}}
\put(110,35){\usebox{\HLethin}}
\put(110,65){\usebox{\HLe}}
\put(110,35){\usebox{\VLethin}}
\put(140,35){\usebox{\VLe}}
\put(90,10 ){\parbox[t]{45mm}
             \finleyelement{Hex20} }


% nummerierung der punkte:
\put(19,208){{\it 1}} % Point
\put(89,208){{\it 1}} % line
\put(104,208){{\it 3}}
\put(119,208){{\it 2}}
\put(6,174){{\it 3}} % Triangle
\put(6,159){{\it 6}}
\put(6,144){{\it 1}}
\put(28,159){{\it 5}}
\put(43,144){{\it 2}}
\put(24,140){{\it 4}}
\put(104,140){{\it 5}} % quaTrilateral
\put(86,174){{\it 4}}
\put(86,159){{\it 8}}
\put(86,144){{\it 1}}
\put(104,178){{\it 7}}
\put(123,174){{\it 3}}
\put(123,159){{\it 6}}
\put(123,144){{\it 2}}
\put(64,85){{\it 5}} % Tetrahedron
\put(46,119){{\it 4}}
\put(46,104){{\it 8}}
\put(46,89){{\it 1}}
\put(61,104){{\it 9}}
\put(83,89){{\it 2}}
\put(56,96.5){{\it 7}}
\put(78,96.5){{\it 6}}
\put(73,104){{\it 3}}
\put(62.5,111.5){{\it 10}}
\put(104,15){{\it 9}} % Hexahedron
\put(86,49){{\it 5}}
\put(85,34){{\it 13}}
\put(86,19){{\it 1}}
\put(104,52){{\it 17}}
\put(123,49){{\it 6}}
\put(115,37){{\it 14}}
\put(123,19){{\it 2}}
\put(125,37){{\it 11}}
\put(106,64){{\it 8}}
\put(112,46){{\it 16}}
\put(106,34){{\it 4}}
\put(124,68){{\it 19}}
\put(143,64){{\it 7}}
\put(142,49){{\it 15}}
\put(143,34){{\it 3}}
\put(94.5,26.5){{\it 12}}
\put(132.5,26.5){{\it 10}}
\put(94.5,56.5){{\it 20}}
\put(132.5,56.5){{\it 18}}

\end{picture}
\caption{\label{FINLEY.FIG:2} Elements of order 2}
\end{figure}

%
% additional elements
%
\begin{figure}
\begin{picture}(170,210) \thicklines

\put(50,095){\usebox{\HLe}}
\put(50,125){\usebox{\HLe}}
\put(50,095){\usebox{\VLe}}
\put(80,095){\usebox{\VLe}}
\put(65,110){\circle*{2}}
\put(50,085){\parbox[t]{45mm}
             \finleyelement{Rec9} }


\put(64,090){{\it 5}}
\put(46,124){{\it 4}}
\put(46,109){{\it 8}}
\put(46,094){{\it 1}}
\put(64,128){{\it 7}}
\put(83,124){{\it 3}}
\put(83,109){{\it 6}}
\put(83,094){{\it 2}}
\put(64,105){{\it 9}}


\end{picture}
\caption{\label{FINLEY.FIG:4} Additional shape functions}
\end{figure}
1	gross	625	%
2	ksteube	1316	% $Id$
3	gross	625	%
4	ksteube	1316	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
5			%
6			% Copyright 2003-2007 by ACceSS MNRF
7			% Copyright 2007 by University of Queensland
8			%
9			% http://esscc.uq.edu.au
10			% Primary Business: Queensland, Australia
11			% Licensed under the Open Software License version 3.0
12			% http://www.opensource.org/licenses/osl-3.0.php
13			%
14			%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
15			%
16
17	jgs	102	\setlength{\unitlength}{1mm}
18
19			\newsavebox{\HLa}
20			\savebox{\HLa}(0,0)
21			{\put(0,0){\circle*{2}}
22			\thicklines \put(1,0){\line(1,0){28}}
23			\put(30,0){\circle*{2}} }
24
25			\newsavebox{\HLathin}
26			\savebox{\HLathin}(0,0)
27			{\put(0,0){\circle{2}}
28			\thinlines \put(1,0){\line(1,0){28}}
29			\put(30,0){\circle{2}} }
30
31			\newsavebox{\VLa}
32			\savebox{\VLa}(0,30)
33			{\put(0,0){\circle*{2}}
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35			\put(0,30){\circle*{2}} }
36
37			\newsavebox{\VLathin}
38			\savebox{\VLathin}(0,30)
39			{\put(0,0){\circle{2}}
40			\thinlines \put(0,1){\line(0,1){28}}
41			\put(0,30){\circle{2}} }
42
43			\newsavebox{\SLax}
44			\savebox{\SLax}(0,30)
45			{\thicklines \put(0,0){\line(-1,1){30}}
46			\put(0,0){\circle*{2}}
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48
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50			\savebox{\SLaa}(0,15)
51			{\thicklines \put(0,0){\line(-4,3){20}}
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54
55			\newsavebox{\SLab}
56			\savebox{\SLab}(0,-15)
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63			{\thinlines \put(-0.7,-0.7){\line(-4,-3){18.7}}
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66
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119
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135
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170			\put(15,0){\circle{2}}
171			\thinlines \multiput(1,0)(15,0){2}{\line(1,0){13}}
172			\put(30,0){\circle{2}} }
173
174			\newsavebox{\VLe}
175			\savebox{\VLe}(0,30)
176			{\put(0,0){\circle*{2}}
177			\put(0,15){\circle*{2}}
178			\thicklines \put(0,1){\line(0,1){28}}
179			\put(0,30){\circle*{2}} }
180
181			\newsavebox{\VLethin}
182			\savebox{\VLethin}(0,30)
183			{\put(0,0){\circle{2}}
184			\put(0,15){\circle{2}}
185			\thinlines \multiput(0,1)(0,15){2}{\line(0,1){13}}
186			\put(0,30){\circle{2}} }
187
188			\newsavebox{\SLe}
189			\savebox{\SLe}(0,30)
190			{\thicklines \put(0,0){\line(-1,1){30}}
191			\put(0,0){\circle*{2}}
192			\put(-15,15){\circle*{2}}
193			\put(-30,30){\circle*{2}} }
194
195			\newsavebox{\SLae}
196			\savebox{\SLae}(0,15)
197			{\thicklines \put(0,0){\line(-4,3){20}}
198			\put(0,0){\circle*{2}}
199			\put(-10,7.5){\circle*{2}}
200			\put(-20,15){\circle*{2}} }
201
202			\newsavebox{\SLbe}
203			\savebox{\SLbe}(0,-15)
204			{\thicklines \put(0,0){\line(-4,-3){20}}
205			\put(0,0){\circle*{2}}
206			\put(-10,-7.5){\circle*{2}}
207			\put(-20,-15){\circle*{2}} }
208
209			\newsavebox{\SLbethin}
210			\savebox{\SLbethin}(0,-15)
211			{\thinlines \multiput(-0.7,-0.7)(-10,-7.5){2}{\line(-4,-3){8.4}}
212			\put(0,0){\circle{2}}
213			\put(-10,-7.5){\circle{2}}
214			\put(-20,-15){\circle{2}} }
215
216			\newsavebox{\SLce}
217			\savebox{\SLce}(0,15)
218			{\thicklines \put(0,0){\line(-2,3){10}}
219			\put(0,0){\circle*{2}}
220			\put(-5,7.5){\circle*{2}}
221			\put(-10,15){\circle*{2}} }
222
223			\newsavebox{\SLcethin}
224			\savebox{\SLcethin}(0,15)
225			{\thinlines \multiput(-0.6,0.8)(-5,7.5){2}{\line(-2,3){3.9}}
226			\put(0,0){\circle{2}}
227			\put(-5,7.5){\circle{2}}
228			\put(-10,15){\circle{2}} }
229
230			%=====================================================================
231			%
232			% order 1
233			% -------
234			%
235
236			\begin{figure}
237
238
239			\begin{picture}(170,210) \thicklines
240
241
242
243			\put(20,205){\circle*{2}}
244			\put(10,195){\parbox[t]{45mm}
245			\finleyelement{Point1}}
246
247			\put(90,205){\usebox{\HLa}}
248			\put(90,195){\parbox[t]{45mm}
249			\finleyelement{LINE2} }
250
251			\put(10,145){\usebox{\HLa}}
252			\put(40,145){\usebox{\SLax}}
253			\put(10,145){\usebox{\VLa}}
254			\put(10,135){\parbox[t]{45mm}
255			\finleyelement{Tri3} }
256
257			\put(90,145){\usebox{\HLa}}
258			\put(90,175){\usebox{\HLa}}
259			\put(90,145){\usebox{\VLa}}
260			\put(120,145){\usebox{\VLa}}
261			\put(90,135){\parbox[t]{45mm}
262			\finleyelement{Rec4} }
263
264			\put(50,90){\usebox{\HLa}}
265			\put(80,90){\usebox{\SLax}}
266			\put(50,90){\usebox{\VLa}}
267			\put(80,90){\usebox{\SLac}}
268			\put(70,105){\usebox{\SLabthin}}
269			\put(70,105){\usebox{\SLaa}}
270			\put(50,80 ){\parbox[t]{45mm}
271			\finleyelement{Tet4} }
272
273			\put(90,20){\usebox{\HLa}}
274			\put(90,50){\usebox{\HLa}}
275			\put(90,20){\usebox{\VLa}}
276			\put(120,20){\usebox{\VLa}}
277			\put(110,35){\usebox{\SLabthin}}
278			\put(140,35){\usebox{\SLab}}
279			\put(110,65){\usebox{\SLab}}
280			\put(140,65){\usebox{\SLab}}
281			\put(110,35){\usebox{\HLathin}}
282			\put(110,65){\usebox{\HLa}}
283			\put(110,35){\usebox{\VLathin}}
284			\put(140,35){\usebox{\VLa}}
285			\put(90,10 ){\parbox[t]{45mm}
286			\finleyelement{Hex8} }
287
288			% nummerierung der punkte:
289			\put(19,208){{\it 1}} % Point
290			\put(89,208){{\it 1}} % line
291			\put(119,208){{\it 2}}
292			\put(6,174){{\it 3}} % Triangle
293			\put(6,144){{\it 1}}
294			\put(43,144){{\it 2}}
295			\put(86,174){{\it 4}} % quadrilateral
296			\put(86,144){{\it 1}}
297			\put(123,174){{\it 3}}
298			\put(123,144){{\it 2}}
299			\put(46,119){{\it 4}} % Tetrahedron
300			\put(46,89){{\it 1}}
301			\put(83,89){{\it 2}}
302			\put(73,104){{\it 3}}
303			\put(86,49){{\it 5}} % Hexahedron
304			\put(86,19){{\it 1}}
305			\put(123,49){{\it 6}}
306			\put(123,19){{\it 2}}
307			\put(106,64){{\it 8}}
308			\put(106,34){{\it 4}}
309			\put(143,64){{\it 7}}
310			\put(143,34){{\it 3}}
311
312			\end{picture}
313			\caption{\label{FINLEY.FIG:1} Elements of order 1}
314			\end{figure}
315			%=====================================================================
316			%
317			%
318			% order 2
319			% -------
320			% (boxes in 'fesubelm')
321
322
323			\begin{figure}
324			\setlength{\unitlength}{1mm}
325
326
327
328			\begin{picture}(170,210) \thicklines
329
330			\put(20,205){\circle*{2}}
331			\put(10,195){\parbox[t]{45mm}
332			\finleyelement{Point1} }
333
334			\put(90,205){\usebox{\HLe}}
335			\put(90,195){\parbox[t]{45mm}
336			\finleyelement{LINE3} }
337
338			\put(10,145){\usebox{\HLe}}
339			\put(40,145){\usebox{\SLe}}
340			\put(10,145){\usebox{\VLe}}
341			\put(10,135){\parbox[t]{45mm}
342			\finleyelement{Tri6} }
343
344			\put(90,145){\usebox{\HLe}}
345			\put(90,175){\usebox{\HLe}}
346			\put(90,145){\usebox{\VLe}}
347			\put(120,145){\usebox{\VLe}}
348			\put(90,135){\parbox[t]{45mm}
349			\finleyelement{Rec8} }
350
351			\put(50,90){\usebox{\HLe}}
352			\put(80,90){\usebox{\SLe}}
353			\put(50,90){\usebox{\VLe}}
354			\put(80,90){\usebox{\SLce}}
355			\put(70,105){\usebox{\SLbethin}}
356			\put(70,105){\usebox{\SLae}}
357			\put(50,80 ){\parbox[t]{45mm}
358			\finleyelement{Tet10} }
359
360			\put(90,20){\usebox{\HLe}}
361			\put(90,50){\usebox{\HLe}}
362			\put(90,20){\usebox{\VLe}}
363			\put(120,20){\usebox{\VLe}}
364			\put(110,35){\usebox{\SLbethin}}
365			\put(140,35){\usebox{\SLbe}}
366			\put(110,65){\usebox{\SLbe}}
367			\put(140,65){\usebox{\SLbe}}
368			\put(110,35){\usebox{\HLethin}}
369			\put(110,65){\usebox{\HLe}}
370			\put(110,35){\usebox{\VLethin}}
371			\put(140,35){\usebox{\VLe}}
372			\put(90,10 ){\parbox[t]{45mm}
373			\finleyelement{Hex20} }
374
375
376			% nummerierung der punkte:
377			\put(19,208){{\it 1}} % Point
378			\put(89,208){{\it 1}} % line
379			\put(104,208){{\it 3}}
380			\put(119,208){{\it 2}}
381			\put(6,174){{\it 3}} % Triangle
382			\put(6,159){{\it 6}}
383			\put(6,144){{\it 1}}
384			\put(28,159){{\it 5}}
385			\put(43,144){{\it 2}}
386			\put(24,140){{\it 4}}
387			\put(104,140){{\it 5}} % quaTrilateral
388			\put(86,174){{\it 4}}
389			\put(86,159){{\it 8}}
390			\put(86,144){{\it 1}}
391			\put(104,178){{\it 7}}
392			\put(123,174){{\it 3}}
393			\put(123,159){{\it 6}}
394			\put(123,144){{\it 2}}
395			\put(64,85){{\it 5}} % Tetrahedron
396			\put(46,119){{\it 4}}
397			\put(46,104){{\it 8}}
398			\put(46,89){{\it 1}}
399			\put(61,104){{\it 9}}
400			\put(83,89){{\it 2}}
401			\put(56,96.5){{\it 7}}
402			\put(78,96.5){{\it 6}}
403			\put(73,104){{\it 3}}
404			\put(62.5,111.5){{\it 10}}
405			\put(104,15){{\it 9}} % Hexahedron
406			\put(86,49){{\it 5}}
407			\put(85,34){{\it 13}}
408			\put(86,19){{\it 1}}
409			\put(104,52){{\it 17}}
410			\put(123,49){{\it 6}}
411			\put(115,37){{\it 14}}
412			\put(123,19){{\it 2}}
413			\put(125,37){{\it 11}}
414			\put(106,64){{\it 8}}
415			\put(112,46){{\it 16}}
416			\put(106,34){{\it 4}}
417			\put(124,68){{\it 19}}
418			\put(143,64){{\it 7}}
419			\put(142,49){{\it 15}}
420			\put(143,34){{\it 3}}
421			\put(94.5,26.5){{\it 12}}
422			\put(132.5,26.5){{\it 10}}
423			\put(94.5,56.5){{\it 20}}
424			\put(132.5,56.5){{\it 18}}
425
426			\end{picture}
427			\caption{\label{FINLEY.FIG:2} Elements of order 2}
428			\end{figure}
429
430			%
431			% additional elements
432			%
433			\begin{figure}
434			\begin{picture}(170,210) \thicklines
435
436			\put(50,095){\usebox{\HLe}}
437			\put(50,125){\usebox{\HLe}}
438			\put(50,095){\usebox{\VLe}}
439			\put(80,095){\usebox{\VLe}}
440			\put(65,110){\circle*{2}}
441			\put(50,085){\parbox[t]{45mm}
442			\finleyelement{Rec9} }
443
444
445			\put(64,090){{\it 5}}
446			\put(46,124){{\it 4}}
447			\put(46,109){{\it 8}}
448			\put(46,094){{\it 1}}
449			\put(64,128){{\it 7}}
450			\put(83,124){{\it 3}}
451			\put(83,109){{\it 6}}
452			\put(83,094){{\it 2}}
453			\put(64,105){{\it 9}}
454
455
456			\end{picture}
457			\caption{\label{FINLEY.FIG:4} Additional shape functions}
458			\end{figure}
Name	Value
svn:eol-style	native
svn:keywords	Author Date Id Revision