The Numerical Solution of the External Dirichlet Generalized Harmonic Problem for a Sphere by the Method of Probabilistic Solution

M Zakradze, Z Tabagari, N Koblishvili, T Davitashvili… - Mathematics, 2023 - mdpi.com
In the present paper, an algorithm for the numerical solution of the external Dirichlet
generalized harmonic problem for a sphere by the method of probabilistic solution (MPS) is …

[PDF][PDF] On numerical solving the Dirichlet generalized harmonic problem for regular n-sided pyramidal domains by the probabilistic method

M Zakradze, M Kublashvili, Z Tabagari… - Trans. A. Razmadze …, 2022 - rmi.tsu.ge
In this paper, we describe how the probabilistic method (PM) can be applied to numerical
solving the Dirichlet generalized harmonic problem in regular n-sided pyramidal domains …

[PDF][PDF] Computer Modelling of a Probabilistic Solution for the Dirichlet Generalized Harmonic Problem in Some Finite Axisymmetric Bodies with a Cylindrical Hole.

M Zakradze, Z Tabagari, Z Sanikidze… - Bulletin of Tbilisi …, 2022 - emis.de
In this paper, we investigate the application of the probabilistic method (PM) for the
numerical solution of the Dirichlet generalized harmonic problem in axisymmetric finite …

[HTML][HTML] The method of probabilistic solution for 3D Dirichlet ordinary and generalized harmonic problems in finite domains bounded with one surface

M Zakradze, B Mamporia, M Kublashvili… - Transactions of A …, 2018 - Elsevier
The Dirichlet ordinary and generalized harmonic problems for some 3D finite domains are
considered. The term “generalized” indicates that a boundary function has a finite number of …

[HTML][HTML] Investigation and numerical solution of some 3D internal Dirichlet generalized harmonic problems in finite domains

M Zakradze, M Kublashvili, Z Sanikidze… - Transactions of A …, 2017 - Elsevier
A Dirichlet generalized harmonic problem for finite right circular cylindrical domains is
considered. The term “generalized” indicates that a boundary function has a finite number of …

[PDF][PDF] The method of probabilistic solution for determination of electric and thermal stationary fields in conic and prismatic domains

M Zakradze, M Kublashvili, N Koblishvili… - Trans. A. Razmadze …, 2020 - rmi.tsu.ge
In this paper, for determination of the electric and thermal stationary fields the Dirichlet
ordinary and generalized harmonic problems are considered. The term “generalized” …

[PDF][PDF] On solving the external three-dimensional Dirichlet problem for a harmonic function by the probabilistic method

M Zakradze, Z Sanikidze, Z Tabagari - Bull. Georgian Natl. Acad. Sci, 2010 - science.org.ge
The algorithm of solving the external three-dimensional Dirichlet boundary value problem for
a harmonic function by the probabilistic method is given. The algorithm consists of the …

[PDF][PDF] On the Solution of Dirichlet Generalized and Classical Spatial Harmonic Problems by the MPS in Neighborhood of the Considered Domain Surface.

M Zakradze, Z Tabagari, M Mirianashvili… - Bulletin of Tbilisi …, 2024 - emis.icm.edu.pl
The Dirichlet generalized and classical harmonic problems for the special type irregular 3-
sided pyramidal domain is considered. Under a generalized problem is meant the problem …

[PDF][PDF] The Method of Probabilistic Solution for the Dirichlet Generalized Harmonic Problem in Irregular Pyramidal Domains

M Zakradze, Z Tabagari, M Mirianashvili… - BOOK OF …, 2023 - rmi.tsu.ge
The Dirichlet generalized harmonic problem for irregular n-sided pyramidal domains is
considered. The term “generalized” indicates that a boundary function has a finite number of …