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4.3.1 Some Details for 2-D Domains     continued...

Now we can write an expression for a general point in our triangle in terms of the values at the vertices,

or, most succintly,

with , the solution value at node i, and is called the local shape function or basis function. This can be expressed in a variety of ways in the literature (depending, usually, on whether you are reading engineering or mathematical treatments of finite element analysis):