Add to ORKGAbstract: The non-reflecting boundary conditions for the Maxwell's equations with the compact density of the electrical current are offered. The conditions are formulated on border located in the field of uniformity of the equations, near to density of the current. The algorithm based on a difference potentials method is suggested for the calculation of the decision on the border . The efficiency of algorithm is determined by properties of lacunas of the difference wave equation. The theorem, which allows to reduce calculation of an electromagnetic field on border to the decision of three independent wave equations, is proved.Note: Research direction:Mathematical problems and theory of numerical method
AbstractThis work deals with the time-dependent Maxwell system in the case of TE-polarized electroma...
In electromagnetism, a conductor that is not connected to the ground is an equipo-tential whose valu...
Abstract: In the work the implementation of algorithm is offered for Maxwell`s equations' ...
Introduction The problem of accurate boundary treatments has long been an obstacle to the developme...
Abstract: A difference problem which decision we are interested in only into certain grid ...
A central characteristic feature of an important class of hyperbolic PDEs in odd-dimension spaces is...
An exact nonreflecting boundary condition was derived previously for use with the time dependent Max...
Abstract: The difference approximation of a boundary problem on a half-plane for Helmholtz...
Abstract: We propose artificial boundary conditions for the wave equation considered outsi...
Abstract: The present paper is devoted to the description of numerical approach of solutio...
Abstract: Spectral approach is proposed for the effective approximation of the accurate no...
The paper presents a method of how the nonlinear boundary condition [1] may be applied in nonlinear ...
The current PhD thesis presents a method for solving the nonstationary Maxwell equations based on a ...
Considered is a transmission boundary-value problem for the time- harmonic Maxwell equations without...
AbstractTo solve the time-dependent wave equation in an infinite two (three) dimensional domain a ci...
AbstractThis work deals with the time-dependent Maxwell system in the case of TE-polarized electroma...
In electromagnetism, a conductor that is not connected to the ground is an equipo-tential whose valu...
Abstract: In the work the implementation of algorithm is offered for Maxwell`s equations' ...
Introduction The problem of accurate boundary treatments has long been an obstacle to the developme...
Abstract: A difference problem which decision we are interested in only into certain grid ...
A central characteristic feature of an important class of hyperbolic PDEs in odd-dimension spaces is...
An exact nonreflecting boundary condition was derived previously for use with the time dependent Max...
Abstract: The difference approximation of a boundary problem on a half-plane for Helmholtz...
Abstract: We propose artificial boundary conditions for the wave equation considered outsi...
Abstract: The present paper is devoted to the description of numerical approach of solutio...
Abstract: Spectral approach is proposed for the effective approximation of the accurate no...
The paper presents a method of how the nonlinear boundary condition [1] may be applied in nonlinear ...
The current PhD thesis presents a method for solving the nonstationary Maxwell equations based on a ...
Considered is a transmission boundary-value problem for the time- harmonic Maxwell equations without...
AbstractTo solve the time-dependent wave equation in an infinite two (three) dimensional domain a ci...
AbstractThis work deals with the time-dependent Maxwell system in the case of TE-polarized electroma...
In electromagnetism, a conductor that is not connected to the ground is an equipo-tential whose valu...
Abstract: In the work the implementation of algorithm is offered for Maxwell`s equations' ...