global numbering

4
1 2 3 4 1 2 3 4 5 Global numbering Element numbers Local numbering 1 +X 2 Element Node e 2 3 local 4 1 2 3 4 5 3 4 1 2 1 2 global

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Element. Node. Element numbers. e. 1 2. 1. 2. 3. 4. local. 1. 1 2. 2. 1. 3. 4. 5. 2. 2 3. Global numbering. global. 3. 3 4. 4. 4 5. Local numbering. 1. 2. +X. u. v. v e ( x ). v e 2. v e 1. e. +X. 1. 2. +X. Unknown solution u ( x ). - PowerPoint PPT Presentation

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Page 1: Global numbering

1 2 3 4

1

2

3 4 5Global numbering

Element numbers

Local numbering 1+X

2

Element Node

e

2 3

local

4

1

2

3

4 5

3 4

1 2

1 2

global

Page 2: Global numbering

u v

e

1 2

ve2ve1

Unknown solution u(x)Approximate solution

v(x) = ve(x)

+X +X

ve(x)

Page 3: Global numbering

ith element1 2

x = 0

+ Xxixi+1

x

= -1 = +1

hi

Page 4: Global numbering

N v

1

0

N1N2

1 12 2

= -1 = -1 = +1 = 0 = +1

ve1

ve2