doc/user/finleyelements.tex


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Copyright (c) 2003-2008 by University of Queensland
% Earth Systems Science Computational Center (ESSCC)
% http://www.uq.edu.au/esscc
%
% Primary Business: Queensland, Australia
% Licensed under the Open Software License version 3.0
% http://www.opensource.org/licenses/osl-3.0.php
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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   \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	ksteube	1811
2			%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3	gross	625	%
4	ksteube	1811	% Copyright (c) 2003-2008 by University of Queensland
5			% Earth Systems Science Computational Center (ESSCC)
6			% http://www.uq.edu.au/esscc
7	gross	625	%
8	ksteube	1811	% Primary Business: Queensland, Australia
9			% Licensed under the Open Software License version 3.0
10			% http://www.opensource.org/licenses/osl-3.0.php
11	ksteube	1316	%
12	ksteube	1811	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13	ksteube	1316
14	ksteube	1811
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168			\put(15,0){\circle{2}}
169			\thinlines \multiput(1,0)(15,0){2}{\line(1,0){13}}
170			\put(30,0){\circle{2}} }
171
172			\newsavebox{\VLe}
173			\savebox{\VLe}(0,30)
174			{\put(0,0){\circle*{2}}
175			\put(0,15){\circle*{2}}
176			\thicklines \put(0,1){\line(0,1){28}}
177			\put(0,30){\circle*{2}} }
178
179			\newsavebox{\VLethin}
180			\savebox{\VLethin}(0,30)
181			{\put(0,0){\circle{2}}
182			\put(0,15){\circle{2}}
183			\thinlines \multiput(0,1)(0,15){2}{\line(0,1){13}}
184			\put(0,30){\circle{2}} }
185
186			\newsavebox{\SLe}
187			\savebox{\SLe}(0,30)
188			{\thicklines \put(0,0){\line(-1,1){30}}
189			\put(0,0){\circle*{2}}
190			\put(-15,15){\circle*{2}}
191			\put(-30,30){\circle*{2}} }
192
193			\newsavebox{\SLae}
194			\savebox{\SLae}(0,15)
195			{\thicklines \put(0,0){\line(-4,3){20}}
196			\put(0,0){\circle*{2}}
197			\put(-10,7.5){\circle*{2}}
198			\put(-20,15){\circle*{2}} }
199
200			\newsavebox{\SLbe}
201			\savebox{\SLbe}(0,-15)
202			{\thicklines \put(0,0){\line(-4,-3){20}}
203			\put(0,0){\circle*{2}}
204			\put(-10,-7.5){\circle*{2}}
205			\put(-20,-15){\circle*{2}} }
206
207			\newsavebox{\SLbethin}
208			\savebox{\SLbethin}(0,-15)
209			{\thinlines \multiput(-0.7,-0.7)(-10,-7.5){2}{\line(-4,-3){8.4}}
210			\put(0,0){\circle{2}}
211			\put(-10,-7.5){\circle{2}}
212			\put(-20,-15){\circle{2}} }
213
214			\newsavebox{\SLce}
215			\savebox{\SLce}(0,15)
216			{\thicklines \put(0,0){\line(-2,3){10}}
217			\put(0,0){\circle*{2}}
218			\put(-5,7.5){\circle*{2}}
219			\put(-10,15){\circle*{2}} }
220
221			\newsavebox{\SLcethin}
222			\savebox{\SLcethin}(0,15)
223			{\thinlines \multiput(-0.6,0.8)(-5,7.5){2}{\line(-2,3){3.9}}
224			\put(0,0){\circle{2}}
225			\put(-5,7.5){\circle{2}}
226			\put(-10,15){\circle{2}} }
227
228			%=====================================================================
229			%
230			% order 1
231			% -------
232			%
233
234			\begin{figure}
235
236
237			\begin{picture}(170,210) \thicklines
238
239
240
241			\put(20,205){\circle*{2}}
242			\put(10,195){\parbox[t]{45mm}
243			\finleyelement{Point1}}
244
245			\put(90,205){\usebox{\HLa}}
246			\put(90,195){\parbox[t]{45mm}
247			\finleyelement{LINE2} }
248
249			\put(10,145){\usebox{\HLa}}
250			\put(40,145){\usebox{\SLax}}
251			\put(10,145){\usebox{\VLa}}
252			\put(10,135){\parbox[t]{45mm}
253			\finleyelement{Tri3} }
254
255			\put(90,145){\usebox{\HLa}}
256			\put(90,175){\usebox{\HLa}}
257			\put(90,145){\usebox{\VLa}}
258			\put(120,145){\usebox{\VLa}}
259			\put(90,135){\parbox[t]{45mm}
260			\finleyelement{Rec4} }
261
262			\put(50,90){\usebox{\HLa}}
263			\put(80,90){\usebox{\SLax}}
264			\put(50,90){\usebox{\VLa}}
265			\put(80,90){\usebox{\SLac}}
266			\put(70,105){\usebox{\SLabthin}}
267			\put(70,105){\usebox{\SLaa}}
268			\put(50,80 ){\parbox[t]{45mm}
269			\finleyelement{Tet4} }
270
271			\put(90,20){\usebox{\HLa}}
272			\put(90,50){\usebox{\HLa}}
273			\put(90,20){\usebox{\VLa}}
274			\put(120,20){\usebox{\VLa}}
275			\put(110,35){\usebox{\SLabthin}}
276			\put(140,35){\usebox{\SLab}}
277			\put(110,65){\usebox{\SLab}}
278			\put(140,65){\usebox{\SLab}}
279			\put(110,35){\usebox{\HLathin}}
280			\put(110,65){\usebox{\HLa}}
281			\put(110,35){\usebox{\VLathin}}
282			\put(140,35){\usebox{\VLa}}
283			\put(90,10 ){\parbox[t]{45mm}
284			\finleyelement{Hex8} }
285
286			% nummerierung der punkte:
287			\put(19,208){{\it 1}} % Point
288			\put(89,208){{\it 1}} % line
289			\put(119,208){{\it 2}}
290			\put(6,174){{\it 3}} % Triangle
291			\put(6,144){{\it 1}}
292			\put(43,144){{\it 2}}
293			\put(86,174){{\it 4}} % quadrilateral
294			\put(86,144){{\it 1}}
295			\put(123,174){{\it 3}}
296			\put(123,144){{\it 2}}
297			\put(46,119){{\it 4}} % Tetrahedron
298			\put(46,89){{\it 1}}
299			\put(83,89){{\it 2}}
300			\put(73,104){{\it 3}}
301			\put(86,49){{\it 5}} % Hexahedron
302			\put(86,19){{\it 1}}
303			\put(123,49){{\it 6}}
304			\put(123,19){{\it 2}}
305			\put(106,64){{\it 8}}
306			\put(106,34){{\it 4}}
307			\put(143,64){{\it 7}}
308			\put(143,34){{\it 3}}
309
310			\end{picture}
311			\caption{\label{FINLEY.FIG:1} Elements of order 1}
312			\end{figure}
313			%=====================================================================
314			%
315			%
316			% order 2
317			% -------
318			% (boxes in 'fesubelm')
319
320
321			\begin{figure}
322			\setlength{\unitlength}{1mm}
323
324
325
326			\begin{picture}(170,210) \thicklines
327
328			\put(20,205){\circle*{2}}
329			\put(10,195){\parbox[t]{45mm}
330			\finleyelement{Point1} }
331
332			\put(90,205){\usebox{\HLe}}
333			\put(90,195){\parbox[t]{45mm}
334			\finleyelement{LINE3} }
335
336			\put(10,145){\usebox{\HLe}}
337			\put(40,145){\usebox{\SLe}}
338			\put(10,145){\usebox{\VLe}}
339			\put(10,135){\parbox[t]{45mm}
340			\finleyelement{Tri6} }
341
342			\put(90,145){\usebox{\HLe}}
343			\put(90,175){\usebox{\HLe}}
344			\put(90,145){\usebox{\VLe}}
345			\put(120,145){\usebox{\VLe}}
346			\put(90,135){\parbox[t]{45mm}
347			\finleyelement{Rec8} }
348
349			\put(50,90){\usebox{\HLe}}
350			\put(80,90){\usebox{\SLe}}
351			\put(50,90){\usebox{\VLe}}
352			\put(80,90){\usebox{\SLce}}
353			\put(70,105){\usebox{\SLbethin}}
354			\put(70,105){\usebox{\SLae}}
355			\put(50,80 ){\parbox[t]{45mm}
356			\finleyelement{Tet10} }
357
358			\put(90,20){\usebox{\HLe}}
359			\put(90,50){\usebox{\HLe}}
360			\put(90,20){\usebox{\VLe}}
361			\put(120,20){\usebox{\VLe}}
362			\put(110,35){\usebox{\SLbethin}}
363			\put(140,35){\usebox{\SLbe}}
364			\put(110,65){\usebox{\SLbe}}
365			\put(140,65){\usebox{\SLbe}}
366			\put(110,35){\usebox{\HLethin}}
367			\put(110,65){\usebox{\HLe}}
368			\put(110,35){\usebox{\VLethin}}
369			\put(140,35){\usebox{\VLe}}
370			\put(90,10 ){\parbox[t]{45mm}
371			\finleyelement{Hex20} }
372
373
374			% nummerierung der punkte:
375			\put(19,208){{\it 1}} % Point
376			\put(89,208){{\it 1}} % line
377			\put(104,208){{\it 3}}
378			\put(119,208){{\it 2}}
379			\put(6,174){{\it 3}} % Triangle
380			\put(6,159){{\it 6}}
381			\put(6,144){{\it 1}}
382			\put(28,159){{\it 5}}
383			\put(43,144){{\it 2}}
384			\put(24,140){{\it 4}}
385			\put(104,140){{\it 5}} % quaTrilateral
386			\put(86,174){{\it 4}}
387			\put(86,159){{\it 8}}
388			\put(86,144){{\it 1}}
389			\put(104,178){{\it 7}}
390			\put(123,174){{\it 3}}
391			\put(123,159){{\it 6}}
392			\put(123,144){{\it 2}}
393			\put(64,85){{\it 5}} % Tetrahedron
394			\put(46,119){{\it 4}}
395			\put(46,104){{\it 8}}
396			\put(46,89){{\it 1}}
397			\put(61,104){{\it 9}}
398			\put(83,89){{\it 2}}
399			\put(56,96.5){{\it 7}}
400			\put(78,96.5){{\it 6}}
401			\put(73,104){{\it 3}}
402			\put(62.5,111.5){{\it 10}}
403			\put(104,15){{\it 9}} % Hexahedron
404			\put(86,49){{\it 5}}
405			\put(85,34){{\it 13}}
406			\put(86,19){{\it 1}}
407			\put(104,52){{\it 17}}
408			\put(123,49){{\it 6}}
409			\put(115,37){{\it 14}}
410			\put(123,19){{\it 2}}
411			\put(125,37){{\it 11}}
412			\put(106,64){{\it 8}}
413			\put(112,46){{\it 16}}
414			\put(106,34){{\it 4}}
415			\put(124,68){{\it 19}}
416			\put(143,64){{\it 7}}
417			\put(142,49){{\it 15}}
418			\put(143,34){{\it 3}}
419			\put(94.5,26.5){{\it 12}}
420			\put(132.5,26.5){{\it 10}}
421			\put(94.5,56.5){{\it 20}}
422			\put(132.5,56.5){{\it 18}}
423
424			\end{picture}
425			\caption{\label{FINLEY.FIG:2} Elements of order 2}
426			\end{figure}
427
428			%
429			% additional elements
430			%
431			\begin{figure}
432			\begin{picture}(170,210) \thicklines
433
434			\put(50,095){\usebox{\HLe}}
435			\put(50,125){\usebox{\HLe}}
436			\put(50,095){\usebox{\VLe}}
437			\put(80,095){\usebox{\VLe}}
438			\put(65,110){\circle*{2}}
439			\put(50,085){\parbox[t]{45mm}
440			\finleyelement{Rec9} }
441
442
443			\put(64,090){{\it 5}}
444			\put(46,124){{\it 4}}
445			\put(46,109){{\it 8}}
446			\put(46,094){{\it 1}}
447			\put(64,128){{\it 7}}
448			\put(83,124){{\it 3}}
449			\put(83,109){{\it 6}}
450			\put(83,094){{\it 2}}
451			\put(64,105){{\it 9}}
452
453
454			\end{picture}
455			\caption{\label{FINLEY.FIG:4} Additional shape functions}
456			\end{figure}
Name	Value
svn:eol-style	native
svn:keywords	Author Date Id Revision