Triangulation No of elements = 16 No of nodes = 13 No interior nodes = 5 No of boundary nodes = 8.

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Presentation transcript:

Triangulation No of elements = 16 No of nodes = 13 No interior nodes = 5 No of boundary nodes = 8

With the triangulation we associate the function space consisting of continuous, piecewise linear functions on vanishing on i.e Triangulation No interior nodes = 5 No of global basis functions = 5

Element Labeling

Node Labeling (global labeling)

global basis functions

global basis functions

Global basis functions

global basis functions

global basis functions

Assemble linear system

Approximation of u

Node Label (local labeling) 12 3 Each triangle has 3 nodes. Label them locally inside the triangle

Node and Element Label

Local label.vs. global label Matrix t(3,#elements)

X-coordinate and y-coordinate Matrix p(2,#elements) x y

Boundary node vector e(#boundary node) e8e7e6e5e4e3e2e start end

Approximation of u

Global basis functions

Triangulation