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Global numbering

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 ).

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Global numbering

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  1. 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

  2. u v ve(x) ve2 ve1 e +X 1 2 +X Unknown solution u(x) Approximate solution v(x) = Sve(x)

  3. ith element 1 2 x = 0 xi + X xi+1 x   = -1  = +1 hi

  4. v N N2 1 N1 ve2 ve1 0   2 2 1 1  = 0  = +1  = -1  = +1  = -1

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