A novel higher order entire-domain finite element technique is presented for accurate and efficient fullwave three-dimensional analysis of electromagnetic structures with continuously inhomogeneous material regions, using large (up to about two wavelengths on a side) generalized curved hierarchical curl-conforming hexahedral vector finite elements (of arbitrary geometrical and fieldapproximatio...

An analytical technique is proposed for estimation of the radiation pattern of inverted-F antenna (IFA) which is mounted on the side wall of a long cylinder. The method can be applied to describe the IFA radiation in a lot of practical cases. It is indicated that this radiation pattern is a combination of radiation patterns of a horizontal and a vertical small radiator, near the cylinder with a...

This paper is concerned with the application of principles of differential geometry in multigrid for the div-grad, curl-curl and grad-div equations. First, the discrete counterpart of the formulas for edge, face and volume elements are used to derive a sequence of a commuting edge, face and volume prolongator from an arbitrary partition of unity nodal prolongator. The implied coarse topology an...

Let $\Omega\subset \mathbb{R}^3$ be a Lipschitz domain and let $S_\mathrm{curl}(\Omega)$ the largest constant such that $$ \int_{\mathbb{R}^3}|\nabla\times u|^2\, dx\geq S_{\mathrm{curl}}(\Omega) \inf_{\substack{w\in W_0^6(\mathrm{curl};\mathbb{R}^3)\\ \nabla\times w=0}}\Big(\int_{\mathbb{R}^3}|u+w|^6\,dx\Big)^{\frac13} for any $u$ in $W_0^6(\mathrm{curl};\Omega)\subset W_0^6(\mathrm{curl};\mat...

[1] The seasonal cycle of the near-surface circulation off central Chile was analyzed using satellite altimetry and an oceanic model. To evaluate the role of the wind stress curl on the circulation we performed two identical simulations except for the wind-forcing: the “control run” used long-term monthly mean wind stress and the “no-curl run” used a similar wind stress field, but without curl....

G. W. Ao, M. G. Shen, Z. S. Zhang, B. L. Li: College of Materials and Metallurgy, University of Science and Technology Liaoning, Anshan City, China Hollow side wall insulation mathematical model of unidirectional solidification temperature field was carried out. With the aid of finite element analysis software ProCAST, directionally solidified ingot temperature field with hollow lateral wall in...

the present paper investigates turbulent mixed convection - radiation flow between two vertical parallel plates kept at different temperatures with variable thermophysical properties. the reynolds number, based on channel half-width and friction velocity and the grashof number, based on channel width and wall temperature difference, were assumed to be 150 and 1.6×106, respectively. numerical si...

We propose to augment standard grid-based fluid solvers with pointwise divergence-free velocity interpolation, thereby ensuring exact incompressibility down the sub-cell level. Our method takes as input a discretely field generated by staggered grid pressure projection, and first recovers corresponding discrete vector potential. Instead of solving costly Poisson problem for potential, we develo...