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docs.jl
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########################################################################
# This file contain docstrings that are too large to fit nicely inline #
########################################################################
"""
RefLine <: AbstractRefShape{1}
Reference line/interval, reference dimension 1.
```
----------------+--------------------
Vertex numbers: | Vertex coordinates:
1-------2 | v1: π = (-1.0,)
--> ΞΎβ | v2: π = ( 1.0,)
----------------+--------------------
Face numbers: | Face identifiers:
1-------2 | f1: (v1,)
| f2: (v2,)
----------------+--------------------
```
"""
RefLine
@doc raw"""
RefTriangle <: AbstractRefShape{2}
Reference triangle, reference dimension 2.
```
----------------+--------------------
Vertex numbers: | Vertex coordinates:
2 |
| \ | v1: π = (1.0, 0.0)
| \ | v2: π = (0.0, 1.0)
ΞΎβ^ | \ | v3: π = (0.0, 0.0)
| 3-------1 |
+--> ΞΎβ |
----------------+--------------------
Face numbers: | Face identifiers:
+ |
| \ | f1: (v1, v2)
2 1 | f2: (v2, v3)
| \ | f3: (v3, v1)
+---3---+ |
----------------+--------------------
```
"""
RefTriangle
"""
RefQuadrilateral <: AbstractRefShape{2}
Reference quadrilateral, reference dimension 2.
```
----------------+---------------------
Vertex numbers: | Vertex coordinates:
4-------3 |
| | | v1: π = (-1.0, -1.0)
| | | v2: π = ( 1.0, -1.0)
ΞΎβ^ | | | v3: π = ( 1.0, 1.0)
| 1-------2 | v4: π = (-1.0, 1.0)
+--> ΞΎβ |
----------------+---------------------
Face numbers: | Face identifiers:
+---3---+ | f1: (v1, v2)
| | | f2: (v2, v3)
4 2 | f3: (v3, v4)
| | | f4: (v4, v1)
+---1---+ |
----------------+---------------------
```
"""
RefQuadrilateral
@doc raw"""
RefTetrahedron <: AbstractRefShape{3}
Reference tetrahedron, reference dimension 3.
```
---------------------------------------+-------------------------
Vertex numbers: | Vertex coordinates:
4 4 |
^ ΞΎβ / \ /| \ | v1: π = (0.0, 0.0, 0.0)
| / \ / | \ | v2: π = (1.0, 0.0, 0.0)
+-> ΞΎβ / \ / 1___ \ | v3: π = (0.0, 1.0, 0.0)
/ / __--3 / / __βΎ-3 | v4: π = (0.0, 0.0, 1.0)
ΞΎβ 2 __--βΎβΎ 2/__--βΎβΎ |
---------------------------------------+-------------------------
Edge numbers: | Edge identifiers:
+ + | e1: (v1, v2)
/ \ /| \ | e2: (v2, v3)
5 / \ 6 5 / |4 \ 6 | e3: (v3, v1)
/ \ / +__3 \ | e4: (v1, v4)
/ __--+ / /1 __βΎ-+ | e5: (v2, v4)
+ __--βΎβΎ2 +/__--βΎβΎ2 | e6: (v3, v4)
---------------------------------------+-------------------------
Face numbers: | Face identifiers:
+ + |
/ \ /| \ | f1: (v1, v3, v2)
/ \ / | 4 \ | f2: (v1, v2, v4)
/ 3 \ /2 +___ \ | f3: (v2, v3, v4)
/ __--+ / / 1 __βΎ-+ | f4: (v1, v4, v3)
+ __--βΎβΎ +/__--βΎβΎ |
---------------------------------------+-------------------------
```
"""
RefTetrahedron
"""
RefHexahedron <: AbstractRefShape{3}
Reference hexahedron, reference dimension 3.
```
-----------------------------------------+----------------------------
Vertex numbers: | Vertex coordinates:
5--------8 5--------8 | v1: π = (-1.0, -1.0, -1.0)
/ /| /| | | v2: π = ( 1.0, -1.0, -1.0)
/ / | / | | | v3: π = ( 1.0, 1.0, -1.0)
^ ΞΎβ 6--------7 | 6 | | | v4: π = (-1.0, 1.0, -1.0)
| | | 4 | 1--------4 | v5: π = (-1.0, -1.0, 1.0)
+-> ΞΎβ | | / | / / | v6: π = ( 1.0, -1.0, 1.0)
/ | |/ |/ / | v7: π = ( 1.0, 1.0, 1.0)
ΞΎβ 2--------3 2--------3 | v8: π = (-1.0, 1.0, 1.0)
-----------------------------------------+-----------------------------
Edge numbers: | Edge identifiers:
+----8---+ +----8---+ |
5/ /| 5/| | | e1: (v1, v2), e2: (v2, v3)
/ 7/ |12 / |9 12| | e3: (v3, v4), e4: (v4, v1)
+----6---+ | + | | | e5: (v5, v6), e6: (v6, v7)
| | + | +---4----+ | e7: (v7, v8), e8: (v8, v5)
10| 11| / 10| /1 / | e9: (v1, v5), e10: (v2, v6)
| |/3 |/ /3 | e11: (v3, v7), e12: (v4, v8)
+---2----+ +---2----+ |
-----------------------------------------+-----------------------------
Face numbers: | Face identifiers:
+--------+ +--------+ |
/ 6 /| /| | | f1: (v1, v4, v3, v2)
/ / | / | 5 | | f2: (v1, v2, v6, v5)
+--------+ 4| + | | | f3: (v2, v3, v7, v6)
| | + |2 +--------+ | f4: (v3, v4, v8, v7)
| 3 | / | / / | f5: (v1, v5, v8, v4)
| |/ |/ 1 / | f6: (v5, v6, v7, v8)
+--------+ +--------+ |
-----------------------------------------+-----------------------------
```
"""
RefHexahedron
"""
RefPrism <: AbstractRefShape{3}
Reference prism, reference dimension 3.
```
-----------------------------------------+----------------------------
Vertex numbers: | Vertex coordinates:
4-------/6 4--------6 |
/ / | /| | | v1: π = (0.0, 0.0, 0.0)
/ / | / | | | v2: π = (1.0, 0.0, 0.0)
^ ΞΎβ 5 / | 5 | | | v3: π = (0.0, 1.0, 0.0)
| | /3 | 1-------/3 | v4: π = (0.0, 0.0, 1.0)
+-> ΞΎβ | / | / / | v5: π = (1.0, 0.0, 1.0)
/ | / |/ / | v6: π = (0.0, 1.0, 1.0)
ΞΎβ 2 / 2 / |
-----------------------------------------+----------------------------
Edge numbers: | Edge identifiers:
+---8---/+ +---8----+ |
7/ / | 7/| | | e1: (v2, v1), e2: (v1, v3)
/ / 9 |6 / |3 |6 | e3: (v1, v4), e4: (v3, v2)
+ / | + | | | e5: (v2, v5), e6: (v3, v6)
| /+ | +--2----/+ | e7: (v4, v5), e8: (v4, v6)
5| / 5| /1 / | e9: (v6, v5)
| / 4 |/ / 4 |
+ / + / |
-----------------------------------------+----------------------------
Face numbers: | Face identifiers:
+-------/+ +--------+ |
/ 5 / | /| | | f1: (v1, v3, v2)
/ / | / | 3 | | f2: (v1, v2, v5, v4)
+ / | + | | | f3: (v3, v1, v4, v6)
| 4 /+ |2 +-------/+ | f4: (v2, v3, v6, v5)
| / | / 1 / | f5: (v4, v5, v6)
| / |/ / |
+ / + / |
-----------------------------------------+----------------------------
```
"""
RefPrism