Description:

Lagrange interpolation functions.

What can be modified:
  • order of interpolating polynom,
  • number of elements,
  • position of nodes,
  • nodal values.
Notice:
  • approximation is continuous and smooth (derivatives of all orders are continuous) within one element, while it is only continuous (it may "kink") between elements.
  • interpolating functions has value equal to 1 at exacly one node, while it has value equal to 0 in all other nodes ("Kronecker delta property"),
  • sum of values of interpolating functions in arbitrary point is equal to 1.
  • change of nodal value affect the approximation only on element(s) which the node belongs to.
Contact: jan.stransky(at)fsv.cvut.cz
Last update: 25th September 2018
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