Modified local singular boundary method for solution of two-dimensional diffusion equation

Engineering Analysis with Boundary Elements(2022)

Cited 0|Views2
No score
This paper deals with a new version of the local singular boundary method (LSBM), which will allow the use of irregular node distribution and any shape of the solved area. Unlike previous modifications, it does not impose any requirements on the number of nodes in the support or the number of virtual points. Moreover, it uses radial basis functions for interpolation, not the weighted squares method. The article contains the derivation of the fundamental relations of the steady and unsteady state method and shows its effectiveness in four control examples.
Translated text
Key words
Singular boundary method,Particular solution,Radial base functions,Virtual subdomain
AI Read Science
Must-Reading Tree
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined