Engineering Mechanics

Proceedings Vol. 26 (2020)

ENGINEERING MECHANICS 2020

Copyright © 2020 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Popczyk O., Dziatkiewicz G.
pages 416 - 419, full text

Algorithm proposed by Fasshauer and Zhang is by today one of the most popular and the best established algorithms for finding a good shape parameter value for the Kansa method. However, it turns out that it is not great for all classes of numerical problems, for example for the problem of one-dimensional unsteady heat flow in a medium with spatially variable thermal parameters. In this work, the Fasshauer algorithm was investigated for solving such a problem using pseudospectral formulation of the Kansa method. The work also proposed a modification of this algorithm that makes it work better for this class of problems. The modification is that instead of looking for the minimum cost function, one should look for an argument in the cost function graph for which the oscillatory behavior begins.

Ownership of copyright in original research articles remains with the Authors, and provided that, when reproducing parts of the contribution, the Authors acknowledge and/or reference the Proceedings, the Authors do not need to seek permission for re-use of their material.

All papers were reviewed by members of the scientific committee.