20.500.12556/RUL-155074 Assessment of local radial basis function collocation method for diffusion problems structured with multiquadrics and polyharmonic splines This paper aims to systematically assess the local radial basis function collocation method, structured with multiquadrics (MQs) and polyharmonic splines (PHSs), for solving steady and transient diffusion problems. The boundary value test involves a rectangle with Dirichlet, Neuman, and Robin boundary conditions, and the initial value test is associated with the Dirichlet jump problem on a square. The spectra of the free parameters of the method, i.e., node density, timestep, shape parameter, etc., are analyzed in terms of the average error. It is found that the use of MQs is less stable compared to PHSs for irregular node arrangements. For MQs, the most suitable shape parameter is determined for multiple cases. The relationship of the shape parameter with the total number of nodes, average error, node scattering factor, and the number of nodes in the local subdomain is also provided. For regular node arrangements, MQs produce slightly more accurate results, while for irregular node arrangements, PHSs provide higher accuracy than MQs. PHSs are recommended for use in diffusion problems that require irregular node spacing. meshless method polyharmonic splines multiquadrics augmentation heat diffusion equation brezmrežna metoda poliharmonični zlepki multikvadrike povečanje enačba toplotne difuzije true false true Angleški jezik Slovenski jezik Članek v reviji 2024-03-19 11:26:33 2024-03-19 11:26:37 2024-03-20 04:12:26 0000-00-00 00:00:00 2024 0 0 31 str. iss. 2, art. 23 Vol. 29 Mar. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.62 2297-8747 10.3390/mca29020023 189462019 Ali...-Assessment_of_local_radial_basis_function_collocation_method_for_diffusion_problems_structured_with_multiquadrics_and_polyharmonic_splines.pdf Ali...-Assessment_of_local_radial_basis_function_collocation_method_for_diffusion_problems_structured_with_multiquadrics_and_polyharmonic_splines.pdf 1 E1EE797F168B5F10B3C4062A04F5CD38 d7851241f6e8d184ad1b43ae5eb77f7f1e859a10fc271d63143c0577302a2d2b beaa5d10-e5db-11ee-8a73-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181831 https://www.mdpi.com/2297-8747/29/2/23 1 2e244356-e5db-11ee-8a73-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181830 Fakulteta za strojništvo 0 0 0