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Knot Point Method in Extrapolation of Boundary Measurement Results

Pisarek J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2006

Vol. 11

67--78

The new measurement technique that relies on distinguishing the ranges in object's space in which the searched quantities are approximated by multiparameter continuous functions has been introduced. The parameters of these functions are calculated by minimizing the functional describing the distance between different functions determined at the same points and distance between numerical solution and experimental results and assumed’a priori’ theoretical guidelines. Functions’ spaces might be determined in any way and might be changed during the computation. This method is especially usefull in extrapolation of the boundary measurement results on the object interior and in joining the local and whole object (global) solutions.