Abstract A Lagrange finite element method is proposed for Maxwell’s equations in Lipschitz domains. The suitable the approximation of singular solutions lying outside $(H^1(\varOmega ))^3$, with nonhomogeneous boundary data tangential trace space $H({\mathbf{curl}}; \varOmega )$ and a right-hand-side source term $(H_0({\mathbf{curl}}; ))^{\prime}$ (the dual $H_0({\mathbf{curl}}; ))$. Numerical ...

In the present paper we submit for study a new class of Finsler spaces. Through restricting the homogeneity condition from the definition of a complex Finsler metric to real scalars, λ ∈ R, is obtained a wider class of complex spaces, called by us the R−complex Finsler spaces. Two subclasses are taken in consideration: the Hermitian and the non-Hermitian R−complex Finsler spaces. In an R−comple...

in this research optimal reconfiguration strategy of the improved srr reconfigurable mobile robot based on force-angle stability measure has been designed using genetic algorithm. path tracking nonlinear controller which keeps robot’s maximum stability has been designed and simulated in matlab. motion equations of the robot have been derived in parametric form by means of newton- euler, lagrang...

We introduce the generalized Helmholtz-Gauss (gHzG) beam and analyze its propagation through optical systems described by ABCD matrices with real and complex elements. The transverse mathematical structure of the gHzG beam is form invariant under paraxial transformations and reduces to those of ordinary HzG and modified HzG beams as special cases. We derive a closed-form expression for the frac...

The plane wave expansion method for calculating photonic bandgap structures is reformulated by using the method of Fourier factorization with complex polarization bases. A brief description of the method is shown, and then two examples of photonic crystals are calculated, one with square and another with hexagonal periodicity of arranged elements. The convergence of the presented approach is di...

In modern DSL systems, multi-user crosstalk is the major source of performance degradation. Optimal Spectrum Balancing (OSB) is a centralized algorithm that optimally allocates the available transmit power over frequencies, thereby mitigating the effect of crosstalk. OSB uses Lagrange multipliers to enforce constraints that are coupled over frequencies. However, finding the optimal Lagrange mul...

C06FKF Circular convolution or correlation of two real vectors, extra workspace for greater speed C06FPF Multiple one-dimensional real discrete Fourier transforms C06FQF Multiple one-dimensional Hermitian discrete Fourier transforms C06FRF Multiple one-dimensional complex discrete Fourier transforms C06FUF Two-dimensional complex discrete Fourier transform C06FXF Three-dimensional complex discr...