Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Meiling Zhao"'
Publikováno v:
Computational and Applied Mathematics. 40
We study the electromagnetic scattering by the partly covered cavity with high wave numbers, which is governed by a Helmholtz equation with the transparent boundary condition. First, we develop a fast high-order algorithm for the scattering by the pa
Publikováno v:
Mathematics
Volume 8
Issue 10
Mathematics, Vol 8, Iss 1688, p 1688 (2020)
Volume 8
Issue 10
Mathematics, Vol 8, Iss 1688, p 1688 (2020)
Dyadic Green&rsquo
s function (DGF) is a powerful and elegant way of solving electromagnetic problems in the multilayered media. In this paper, we introduce the electric and magnetic DGFs in free space, respectively. Furthermore, the symmetry of
s function (DGF) is a powerful and elegant way of solving electromagnetic problems in the multilayered media. In this paper, we introduce the electric and magnetic DGFs in free space, respectively. Furthermore, the symmetry of
Autor:
Meiling Zhao, Na Zhu
Publikováno v:
American Journal of Computational Mathematics. :222-232
We present fast fourth-order finite difference scheme for 3D Helmholtz equation with Neumann boundary condition. We employ the discrete Fourier transform operator and divide the problem into some independent subproblems. By means of the Gaussian elim
Autor:
Meiling Zhao, Na Zhu
Publikováno v:
Journal of Computational Physics. 398:108826
We study the problem of electromagnetic scattering by multiple open cavities embedded in an infinite ground plane with high wave numbers. The problem can be described by a series of Helmholtz equations with coupled boundary conditions. We develop a s
A viscosity extragradient method for an equilibrium problem and fixed point problem in Hilbert space
Publikováno v:
Journal of Fixed Point Theory and Applications. 20
In the literature, few viscosity extragradient methods are used to solve the pseudomonotone and Lipschitz-type continuous equilibrium problems so far. In this paper, we construct a viscosity extragradient algorithm to find a common element of solutio
The Application of Bessel Function in the Definite Solution Problem of Cylindrical Coordinate System
Autor:
Wenjie He, Meiling Zhao
Publikováno v:
Applied and Computational Mathematics. 8:58
The variable separation method is an important method to solve the definite solution problems, especially the definite solution problems of cylinder and sphere regions. This method can solve these problems on cylinder and sphere regions, but the solv
Publikováno v:
Journal of Mathematical Analysis and Applications. 386:401-411
In this paper, we obtain an existence result for a class of high order quasilinear elliptic equations with higher eigenvalues. The proofs rely on Galerkin-type techniques, Brouwerʼs fixed points theorem. In this case, the nonlinearity is unbounded a
Publikováno v:
Applied and Computational Mathematics. 7:180
Helmholtz equation is widely applied in the scientific and engineering problem. For the solution of the three-dimensional Helmholtz equation, the computational efficiency of the algorithm is especially important. In this paper, in order to solve the