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of 23
pro vyhledávání: '"Artur Krowiak"'
Autor:
Artur Krowiak
Publikováno v:
Curved and Layered Structures, Vol 7, Iss 1, Pp 56-67 (2020)
The paper extends recently developed idea of stable evaluation of the Gaussian kernel. Owing to this, the Gaussian radial basis function that is sensitive to the shape parameter can be stably evaluated and applied to interpolation problems as well as
Autor:
Artur Krowiak
The paper deals with the use of a kind of meshless method to solve the problem with material discontinuity on an interface. Such a problem is described by a differential equation with discontinuous coefficients. To solve the problem, the abovemention
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::345ff93fab160fe7b3d99ac5e4209683
https://www.scipedia.com/public/Krowiak_2021a
https://www.scipedia.com/public/Krowiak_2021a
Autor:
Artur Krowiak, Renata Filipowska
Publikováno v:
INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2020.
The paper extends recently developed idea of stable evaluation of the Gaussian kernel. Owing to this, the Gaussian radial basis function that is sensitive to the shape parameter can be stably evaluated and applied to interpolation problems as well as
Autor:
Artur Krowiak, Jordan Podgórski
Publikováno v:
AIP Conference Proceedings.
In the paper two approaches to determine a value of shape parameter for radial basis function collocation methods are presented. This value enables to achieve very accurate results in Kansa method and radial basis function-based pseudospectral one. B
Autor:
Renata Filipowska, Artur Krowiak
Publikováno v:
AIP Conference Proceedings.
The paper deals with the use of a global radial basis function collocation method (Kansa method) to problems described by differential equations with non-continuous coefficients. The derivative of the solution in such problems can possess a jump, whi
Autor:
Artur Krowiak
Publikováno v:
Engineering Analysis with Boundary Elements. 71:50-58
The paper deals with the implementation of radial basis function-based pseudospectral method (RBF-PS), which is a meshless numerical technique, to static analysis of thin, isotropic plates. The analyzed problem possesses multiple boundary conditions,
Autor:
Artur Krowiak
Publikováno v:
Applied Mathematical Modelling. 40:2421-2430
In the paper, the radial basis function-based differential quadrature method (RBF-DQM) that uses Hermite type interpolation is developed. The method is an extension of the known RBF-DQM, which is a meshless numerical technique for solving differentia
Autor:
Artur Krowiak
Publikováno v:
AIP Conference Proceedings.
In the paper a kind of meshless discretization technique, called the Kansa method, is investigated in the context of problems with multiple boundary conditions. This numerical method uses interpolant composed of radial basis functions as well as coll
Publikováno v:
Applied Mechanics and Materials. 712:43-48
The work presents a new approach to the power method serving the purpose of solving the eigenvalue problem of a matrix. Instead of calculating the eigenvector corresponding to the dominant eigenvalue from the formula , the idempotent matrix B associa
Autor:
Jordan Podgórski, Artur Krowiak
Publikováno v:
Czasopismo Techniczne. 7