Add to ORKGThe paper presents two methods of solving the Poisson equation. One is based on the multiple reciprocity method. An analytical form of the basic solution obtained by means of inverse operation technique enabled assessing the method's error. The other is based on source function expansion into a series according to polyharmonic functions. Further polyharmonic functions have been obtained through inverse operations (with the delta -1 operator) applied to polyharmonic functions. Numerical results have confirmed perfect efficiency of both methods
The Poisson equation is a very important partial differential equation for many branches of science...
This paper deals with an inverse problem for identifying an unknown source which depends only on one...
The entire thesis text is included in the research.pdf file; the official abstract appears in the sh...
One of the attractive and practical techniques to transform the domain integrals to equivalent bound...
In a regularized approach to Poisson data inversion, the problem is reduced to the minimization of a...
International audienceWe solve the inverse Cauchy problems for the Laplace and Poisson equations usi...
The inverse and ill-posed problem of reconstructing the unknown support of a source in the Poisson e...
The method of multiple scales is a global perturbation technique that has resulted to be very useful...
In this paper, we totally discard the traditional trial-and-error algorithms of choosing the accepta...
the domain decomposition method for the Poisson equation. Numerical examples are studied in dimensio...
This thesis addresses the problem of obtaining solutions to Poisson\u27s equation which is encounter...
In this work for the analysis of results of integration it is offered a posteriori method of multipl...
In this work for the analysis of results of differential equation integration it is offered a poster...
The dissertation investigates direct methods for solving the discrete Poisson equation. In particula...
In the paper, one of the real generalizations of the B¨ottcher equation is considered. It is shown ...
The Poisson equation is a very important partial differential equation for many branches of science...
This paper deals with an inverse problem for identifying an unknown source which depends only on one...
The entire thesis text is included in the research.pdf file; the official abstract appears in the sh...
One of the attractive and practical techniques to transform the domain integrals to equivalent bound...
In a regularized approach to Poisson data inversion, the problem is reduced to the minimization of a...
International audienceWe solve the inverse Cauchy problems for the Laplace and Poisson equations usi...
The inverse and ill-posed problem of reconstructing the unknown support of a source in the Poisson e...
The method of multiple scales is a global perturbation technique that has resulted to be very useful...
In this paper, we totally discard the traditional trial-and-error algorithms of choosing the accepta...
the domain decomposition method for the Poisson equation. Numerical examples are studied in dimensio...
This thesis addresses the problem of obtaining solutions to Poisson\u27s equation which is encounter...
In this work for the analysis of results of integration it is offered a posteriori method of multipl...
In this work for the analysis of results of differential equation integration it is offered a poster...
The dissertation investigates direct methods for solving the discrete Poisson equation. In particula...
In the paper, one of the real generalizations of the B¨ottcher equation is considered. It is shown ...
The Poisson equation is a very important partial differential equation for many branches of science...
This paper deals with an inverse problem for identifying an unknown source which depends only on one...
The entire thesis text is included in the research.pdf file; the official abstract appears in the sh...