Question

Difference between interpolation function and shape function

Answer 1

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✴️The shape function is the function which interpolates the solution between the discrete values obtained at the mesh nodes. Therefore, appropriate functionshave to be used and, as already mentioned, low order polynomials are typically chosen as shape functions. In this work linear shape functions are used.

✴️✴️In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. ... It is often required tointerpolate, i.e., estimate the value of thatfunction for an intermediate value of the independent variable.

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