ARTICLE
Material discontinuity problems solved by a meshless method based on variably scaled discontinuous radial functions
1
Cracow University of Technology, Institute of Computer Science, Cracow, Poland
These authors had equal contribution to this work
Submission date: 2023-10-10
Final revision date: 2023-12-14
Acceptance date: 2023-12-14
Online publication date: 2024-03-06
Publication date: 2024-04-30
Corresponding author
Artur Krowiak
Institute of Computer Science, Cracow University of Technology, Al. Jana Pawła II 37, 31-864, Kraków, Poland
Institute of Computer Science, Cracow University of Technology, Al. Jana Pawła II 37, 31-864, Kraków, Poland
Journal of Theoretical and Applied Mechanics 2024;62(2):241-251
KEYWORDS
TOPICS
ABSTRACT
The paper presents a meshless method based on global interpolation with radial base functions
and shows its application in solving interface problems. Such problems arise when two
or more different materials are used to construct the element under consideration. Across the
interface between the materials, a discontinuity of material parameters arises. To solve the
problem, the radial basis function-based collocation method is applied. To properly reflect
the discontinuity, the base functions are modified. In this paper, the method is applied to
solve problems described by elliptic equations. Using these examples, the accuracy, stability
and convergence of the method are examined.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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