| Abstract [eng] |
The adaptive smoothing of discontinuous fields is very important when the results of experimental analysis are represented in virtual digital environments. A typical example is the numerical construction of digital fringes using the results of the classical finite element method (FEM) analysis. To solve the problem of discontinuous field, it is used adaptive conjugate smoothing algorithm, where by the minimized functional, which describes the differences between the interpolated and initial discontinuous field, added an additional penalty term for rapid change of interpolated field. The smoothing parameter lemda can be selected for each finite element individually and its definition was determined intuitively. However it was confronted with a problem that increasing the parameter value of lemda distorted physical information about the analyzed system. So in this work presented an optimal smoothing parameter detection algorithm, which helps to choose the optimal smoothing parameter value of lemda, between regularizated theoretical field and smoothed field. |
