doc/user/finleyelements.tex

\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	\setlength{\unitlength}{1mm}
2
3	\newsavebox{\HLa}
4	\savebox{\HLa}(0,0)
5	{\put(0,0){\circle*{2}}
6	\thicklines \put(1,0){\line(1,0){28}}
7	\put(30,0){\circle*{2}} }
8
9	\newsavebox{\HLathin}
10	\savebox{\HLathin}(0,0)
11	{\put(0,0){\circle{2}}
12	\thinlines \put(1,0){\line(1,0){28}}
13	\put(30,0){\circle{2}} }
14
15	\newsavebox{\VLa}
16	\savebox{\VLa}(0,30)
17	{\put(0,0){\circle*{2}}
18	\thicklines \put(0,1){\line(0,1){28}}
19	\put(0,30){\circle*{2}} }
20
21	\newsavebox{\VLathin}
22	\savebox{\VLathin}(0,30)
23	{\put(0,0){\circle{2}}
24	\thinlines \put(0,1){\line(0,1){28}}
25	\put(0,30){\circle{2}} }
26
27	\newsavebox{\SLax}
28	\savebox{\SLax}(0,30)
29	{\thicklines \put(0,0){\line(-1,1){30}}
30	\put(0,0){\circle*{2}}
31	\put(-30,30){\circle*{2}} }
32
33	\newsavebox{\SLaa}
34	\savebox{\SLaa}(0,15)
35	{\thicklines \put(0,0){\line(-4,3){20}}
36	\put(0,0){\circle*{2}}
37	\put(-20,15){\circle*{2}} }
38
39	\newsavebox{\SLab}
40	\savebox{\SLab}(0,-15)
41	{\thicklines \put(0,0){\line(-4,-3){20}}
42	\put(0,0){\circle*{2}}
43	\put(-20,-15){\circle*{2}} }
44
45	\newsavebox{\SLabthin}
46	\savebox{\SLabthin}(0,-15)
47	{\thinlines \put(-0.7,-0.7){\line(-4,-3){18.7}}
48	\put(0,0){\circle{2}}
49	\put(-20,-15){\circle{2}} }
50
51	\newsavebox{\SLac}
52	\savebox{\SLac}(0,15)
53	{\thicklines \put(0,0){\line(-2,3){10}}
54	\put(0,0){\circle*{2}}
55	\put(-10,15){\circle*{2}} }
56
57	\newsavebox{\SLacthin}
58	\savebox{\SLacthin}(0,15)
59	{\thinlines \put(0,0){\line(-2,3){9.4}}
60	\put(0,0){\circle{2}}
61	\put(-10,15){\circle{2}} }
62
63
64	\newsavebox{\HLd}
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66	{\put(0,0){\circle*{2}}
67	\put(10,0){\circle*{2}}
68	\thicklines \put(1,0){\line(1,0){28}}
69	\put(20,0){\circle*{2}}
70	\put(30,0){\circle*{2}} }
71
72	\newsavebox{\HLdthin}
73	\savebox{\HLdthin}(0,0)
74	{\put(0,0){\circle{2}}
75	\put(10,0){\circle{2}}
76	\thinlines \multiput(1,0)(10,0){3}{\line(1,0){8}}
77	\put(20,0){\circle{2}}
78	\put(30,0){\circle{2}} }
79
80	\newsavebox{\VLd}
81	\savebox{\VLd}(0,30)
82	{\put(0,0){\circle*{2}}
83	\put(0,10){\circle*{2}}
84	\thicklines \put(0,1){\line(0,1){28}}
85	\put(0,20){\circle*{2}}
86	\put(0,30){\circle*{2}} }
87
88	\newsavebox{\VLdthin}
89	\savebox{\VLdthin}(0,30)
90	{\put(0,0){\circle{2}}
91	\put(0,10){\circle{2}}
92	\thinlines \multiput(0,1)(0,10){3}{\line(0,1){8}}
93	\put(0,20){\circle{2}}
94	\put(0,30){\circle{2}} }
95
96	\newsavebox{\SLf}
97	\savebox{\SLf}(0,30)
98	{\thicklines \put(0,0){\line(-1,1){30}}
99	\put(0,0){\circle*{2}}
100	\put(-10,10){\circle*{2}}
101	\put(-20,20){\circle*{2}}
102	\put(-30,30){\circle*{2}} }
103
104	\newsavebox{\SLad}
105	\savebox{\SLad}(0,15)
106	{\thicklines \put(0,0){\line(-4,3){20}}
107	\put(0,0){\circle*{2}}
108	\put(-6.66,5){\circle*{2}}
109	\put(-13.33,10){\circle*{2}}
110	\put(-20,15){\circle*{2}} }
111
112	\newsavebox{\SLbd}
113	\savebox{\SLbd}(0,-15)
114	{\thicklines \put(0,0){\line(-4,-3){20}}
115	\put(0,0){\circle*{2}}
116	\put(-6.66,-5){\circle*{2}}
117	\put(-13.33,-10){\circle*{2}}
118	\put(-20,-15){\circle*{2}} }
119
120	\newsavebox{\SLbdthin}
121	\savebox{\SLbdthin}(0,-15)
122	{\thinlines \multiput(-0.7,-0.7)(-6.66,-5){3}{\line(-4,-3){5.1}}
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124	\put(-6.66,-5){\circle{2}}
125	\put(-13.33,-10){\circle{2}}
126	\put(-20,-15){\circle{2}} }
127
128	\newsavebox{\SLcd}
129	\savebox{\SLcd}(0,15)
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131	\put(0,0){\circle*{2}}
132	\put(-3.33,5){\circle*{2}}
133	\put(-6.66,10){\circle*{2}}
134	\put(-10,15){\circle*{2}} }
135
136	\newsavebox{\SLcdthin}
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141	\put(-6.66,10){\circle{2}}
142	\put(-10,15){\circle{2}} }
143
144	\newsavebox{\HLe}
145	\savebox{\HLe}(0,0)
146	{\put(0,0){\circle*{2}}
147	\put(15,0){\circle*{2}}
148	\thicklines \put(1,0){\line(1,0){28}}
149	\put(30,0){\circle*{2}} }
150
151	\newsavebox{\HLethin}
152	\savebox{\HLethin}(0,0)
153	{\put(0,0){\circle{2}}
154	\put(15,0){\circle{2}}
155	\thinlines \multiput(1,0)(15,0){2}{\line(1,0){13}}
156	\put(30,0){\circle{2}} }
157
158	\newsavebox{\VLe}
159	\savebox{\VLe}(0,30)
160	{\put(0,0){\circle*{2}}
161	\put(0,15){\circle*{2}}
162	\thicklines \put(0,1){\line(0,1){28}}
163	\put(0,30){\circle*{2}} }
164
165	\newsavebox{\VLethin}
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167	{\put(0,0){\circle{2}}
168	\put(0,15){\circle{2}}
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172	\newsavebox{\SLe}
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176	\put(-15,15){\circle*{2}}
177	\put(-30,30){\circle*{2}} }
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179	\newsavebox{\SLae}
180	\savebox{\SLae}(0,15)
181	{\thicklines \put(0,0){\line(-4,3){20}}
182	\put(0,0){\circle*{2}}
183	\put(-10,7.5){\circle*{2}}
184	\put(-20,15){\circle*{2}} }
185
186	\newsavebox{\SLbe}
187	\savebox{\SLbe}(0,-15)
188	{\thicklines \put(0,0){\line(-4,-3){20}}
189	\put(0,0){\circle*{2}}
190	\put(-10,-7.5){\circle*{2}}
191	\put(-20,-15){\circle*{2}} }
192
193	\newsavebox{\SLbethin}
194	\savebox{\SLbethin}(0,-15)
195	{\thinlines \multiput(-0.7,-0.7)(-10,-7.5){2}{\line(-4,-3){8.4}}
196	\put(0,0){\circle{2}}
197	\put(-10,-7.5){\circle{2}}
198	\put(-20,-15){\circle{2}} }
199
200	\newsavebox{\SLce}
201	\savebox{\SLce}(0,15)
202	{\thicklines \put(0,0){\line(-2,3){10}}
203	\put(0,0){\circle*{2}}
204	\put(-5,7.5){\circle*{2}}
205	\put(-10,15){\circle*{2}} }
206
207	\newsavebox{\SLcethin}
208	\savebox{\SLcethin}(0,15)
209	{\thinlines \multiput(-0.6,0.8)(-5,7.5){2}{\line(-2,3){3.9}}
210	\put(0,0){\circle{2}}
211	\put(-5,7.5){\circle{2}}
212	\put(-10,15){\circle{2}} }
213
214	%=====================================================================
215	%
216	% order 1
217	% -------
218	%
219
220	\begin{figure}
221
222
223	\begin{picture}(170,210) \thicklines
224
225
226
227	\put(20,205){\circle*{2}}
228	\put(10,195){\parbox[t]{45mm}
229	\finleyelement{Point1}}
230
231	\put(90,205){\usebox{\HLa}}
232	\put(90,195){\parbox[t]{45mm}
233	\finleyelement{LINE2} }
234
235	\put(10,145){\usebox{\HLa}}
236	\put(40,145){\usebox{\SLax}}
237	\put(10,145){\usebox{\VLa}}
238	\put(10,135){\parbox[t]{45mm}
239	\finleyelement{Tri3} }
240
241	\put(90,145){\usebox{\HLa}}
242	\put(90,175){\usebox{\HLa}}
243	\put(90,145){\usebox{\VLa}}
244	\put(120,145){\usebox{\VLa}}
245	\put(90,135){\parbox[t]{45mm}
246	\finleyelement{Rec4} }
247
248	\put(50,90){\usebox{\HLa}}
249	\put(80,90){\usebox{\SLax}}
250	\put(50,90){\usebox{\VLa}}
251	\put(80,90){\usebox{\SLac}}
252	\put(70,105){\usebox{\SLabthin}}
253	\put(70,105){\usebox{\SLaa}}
254	\put(50,80 ){\parbox[t]{45mm}
255	\finleyelement{Tet4} }
256
257	\put(90,20){\usebox{\HLa}}
258	\put(90,50){\usebox{\HLa}}
259	\put(90,20){\usebox{\VLa}}
260	\put(120,20){\usebox{\VLa}}
261	\put(110,35){\usebox{\SLabthin}}
262	\put(140,35){\usebox{\SLab}}
263	\put(110,65){\usebox{\SLab}}
264	\put(140,65){\usebox{\SLab}}
265	\put(110,35){\usebox{\HLathin}}
266	\put(110,65){\usebox{\HLa}}
267	\put(110,35){\usebox{\VLathin}}
268	\put(140,35){\usebox{\VLa}}
269	\put(90,10 ){\parbox[t]{45mm}
270	\finleyelement{Hex8} }
271
272	% nummerierung der punkte:
273	\put(19,208){{\it 1}} % Point
274	\put(89,208){{\it 1}} % line
275	\put(119,208){{\it 2}}
276	\put(6,174){{\it 3}} % Triangle
277	\put(6,144){{\it 1}}
278	\put(43,144){{\it 2}}
279	\put(86,174){{\it 4}} % quadrilateral
280	\put(86,144){{\it 1}}
281	\put(123,174){{\it 3}}
282	\put(123,144){{\it 2}}
283	\put(46,119){{\it 4}} % Tetrahedron
284	\put(46,89){{\it 1}}
285	\put(83,89){{\it 2}}
286	\put(73,104){{\it 3}}
287	\put(86,49){{\it 5}} % Hexahedron
288	\put(86,19){{\it 1}}
289	\put(123,49){{\it 6}}
290	\put(123,19){{\it 2}}
291	\put(106,64){{\it 8}}
292	\put(106,34){{\it 4}}
293	\put(143,64){{\it 7}}
294	\put(143,34){{\it 3}}
295
296	\end{picture}
297	\caption{\label{FINLEY.FIG:1} Elements of order 1}
298	\end{figure}
299	%=====================================================================
300	%
301	%
302	% order 2
303	% -------
304	% (boxes in 'fesubelm')
305
306
307	\begin{figure}
308	\setlength{\unitlength}{1mm}
309
310
311
312	\begin{picture}(170,210) \thicklines
313
314	\put(20,205){\circle*{2}}
315	\put(10,195){\parbox[t]{45mm}
316	\finleyelement{Point1} }
317
318	\put(90,205){\usebox{\HLe}}
319	\put(90,195){\parbox[t]{45mm}
320	\finleyelement{LINE3} }
321
322	\put(10,145){\usebox{\HLe}}
323	\put(40,145){\usebox{\SLe}}
324	\put(10,145){\usebox{\VLe}}
325	\put(10,135){\parbox[t]{45mm}
326	\finleyelement{Tri6} }
327
328	\put(90,145){\usebox{\HLe}}
329	\put(90,175){\usebox{\HLe}}
330	\put(90,145){\usebox{\VLe}}
331	\put(120,145){\usebox{\VLe}}
332	\put(90,135){\parbox[t]{45mm}
333	\finleyelement{Rec8} }
334
335	\put(50,90){\usebox{\HLe}}
336	\put(80,90){\usebox{\SLe}}
337	\put(50,90){\usebox{\VLe}}
338	\put(80,90){\usebox{\SLce}}
339	\put(70,105){\usebox{\SLbethin}}
340	\put(70,105){\usebox{\SLae}}
341	\put(50,80 ){\parbox[t]{45mm}
342	\finleyelement{Tet10} }
343
344	\put(90,20){\usebox{\HLe}}
345	\put(90,50){\usebox{\HLe}}
346	\put(90,20){\usebox{\VLe}}
347	\put(120,20){\usebox{\VLe}}
348	\put(110,35){\usebox{\SLbethin}}
349	\put(140,35){\usebox{\SLbe}}
350	\put(110,65){\usebox{\SLbe}}
351	\put(140,65){\usebox{\SLbe}}
352	\put(110,35){\usebox{\HLethin}}
353	\put(110,65){\usebox{\HLe}}
354	\put(110,35){\usebox{\VLethin}}
355	\put(140,35){\usebox{\VLe}}
356	\put(90,10 ){\parbox[t]{45mm}
357	\finleyelement{Hex20} }
358
359
360	% nummerierung der punkte:
361	\put(19,208){{\it 1}} % Point
362	\put(89,208){{\it 1}} % line
363	\put(104,208){{\it 3}}
364	\put(119,208){{\it 2}}
365	\put(6,174){{\it 3}} % Triangle
366	\put(6,159){{\it 6}}
367	\put(6,144){{\it 1}}
368	\put(28,159){{\it 5}}
369	\put(43,144){{\it 2}}
370	\put(24,140){{\it 4}}
371	\put(104,140){{\it 5}} % quaTrilateral
372	\put(86,174){{\it 4}}
373	\put(86,159){{\it 8}}
374	\put(86,144){{\it 1}}
375	\put(104,178){{\it 7}}
376	\put(123,174){{\it 3}}
377	\put(123,159){{\it 6}}
378	\put(123,144){{\it 2}}
379	\put(64,85){{\it 5}} % Tetrahedron
380	\put(46,119){{\it 4}}
381	\put(46,104){{\it 8}}
382	\put(46,89){{\it 1}}
383	\put(61,104){{\it 9}}
384	\put(83,89){{\it 2}}
385	\put(56,96.5){{\it 7}}
386	\put(78,96.5){{\it 6}}
387	\put(73,104){{\it 3}}
388	\put(62.5,111.5){{\it 10}}
389	\put(104,15){{\it 9}} % Hexahedron
390	\put(86,49){{\it 5}}
391	\put(85,34){{\it 13}}
392	\put(86,19){{\it 1}}
393	\put(104,52){{\it 17}}
394	\put(123,49){{\it 6}}
395	\put(115,37){{\it 14}}
396	\put(123,19){{\it 2}}
397	\put(125,37){{\it 11}}
398	\put(106,64){{\it 8}}
399	\put(112,46){{\it 16}}
400	\put(106,34){{\it 4}}
401	\put(124,68){{\it 19}}
402	\put(143,64){{\it 7}}
403	\put(142,49){{\it 15}}
404	\put(143,34){{\it 3}}
405	\put(94.5,26.5){{\it 12}}
406	\put(132.5,26.5){{\it 10}}
407	\put(94.5,56.5){{\it 20}}
408	\put(132.5,56.5){{\it 18}}
409
410	\end{picture}
411	\caption{\label{FINLEY.FIG:2} Elements of order 2}
412	\end{figure}
413
414	%
415	% additional elements
416	%
417	\begin{figure}
418	\begin{picture}(170,210) \thicklines
419
420	\put(50,095){\usebox{\HLe}}
421	\put(50,125){\usebox{\HLe}}
422	\put(50,095){\usebox{\VLe}}
423	\put(80,095){\usebox{\VLe}}
424	\put(65,110){\circle*{2}}
425	\put(50,085){\parbox[t]{45mm}
426	\finleyelement{Rec9} }
427
428
429	\put(64,090){{\it 5}}
430	\put(46,124){{\it 4}}
431	\put(46,109){{\it 8}}
432	\put(46,094){{\it 1}}
433	\put(64,128){{\it 7}}
434	\put(83,124){{\it 3}}
435	\put(83,109){{\it 6}}
436	\put(83,094){{\it 2}}
437	\put(64,105){{\it 9}}
438
439
440	\end{picture}
441	\caption{\label{FINLEY.FIG:4} Additional shape functions}
442	\end{figure}
Name	Value
svn:eol-style	native
svn:keywords	Author Date Id Revision