Vector Barycentric Method in Computational Electrodynamics

The Γ-vector of a Barycentric Subdivision

We prove that the γ-vector of the barycentric subdivision of a simplicial sphere is the f -vector of a balanced simplicial complex. The combinatorial basis for this work is the study of certain refinements of Eulerian numbers used by Brenti and Welker to describe the h-vector of the barycentric subdivision of a boolean complex.

Quantum electrodynamics for vector mesons.

Quantum electrodynamics for rho mesons is considered. It is shown that, at the tree level, the value of the gyromagnetic ratio of the rho+ is fixed to 2 in a self-consistent effective quantum field theory. Further, the mixing parameter of the photon and the neutral vector meson is equal to the ratio of electromagnetic and strong couplings, leading to the mass difference M(rho0)-M(rho+/-) approx...

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics

ASpectral Time-DomainMethod for Computational Electrodynamics

Ever since its introduction by Kane Yee over forty years ago, the finitedifference time-domain (FDTD) method has been a widely-used technique for solving the time-dependent Maxwell’s equations that has also inspired many other methods. This paper presents an alternative approach to these equations in the case of spatially-varying electric permittivity and/or magnetic permeability, based on Kryl...

Numerical Methods in Computational Electrodynamics - Linear Systems in Practical Applications

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