Digital repository of Slovenian research organisations

Search the repository
A+ | A- | Help | SLO | ENG

Query: search in
search in
search in
search in

Options:
  Reset


Query: "keywords" (p-biharmonic equation) .

1 - 2 / 2
First pagePrevious page1Next pageLast page
1.
Singular $p$-biharmonic problem with the Hardy potential
Amor Drissi, Abdeljabbar Ghanmi, Dušan Repovš, 2024, original scientific article

Abstract: The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given to illustrate the importance of these results.
Keywords: p-biharmonic equation, variational methods, existence of solutions, Hardy potential, Nehari manifold, fibering map
Published in DiRROS: 08.07.2024; Views: 17; Downloads: 7
.pdf Full text (436,45 KB)
This document has many files! More...

2.
Assessment of local radial basis function collocation method for diffusion problems structured with multiquadrics and polyharmonic splines
Izaz Ali, Umut Hanoglu, Robert Vertnik, Božidar Šarler, 2024, original scientific article

Abstract: 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.
Keywords: meshless method, polyharmonic splines, multiquadrics, augmentation, heat diffusion equation
Published in DiRROS: 04.04.2024; Views: 279; Downloads: 98
.pdf Full text (2,79 MB)
This document has many files! More...
Search done in 0.1 sec.
Back to top