Concept
Maxwell's equations in curved spacetime
Related publications (35)
High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations
Bernard Kapidani, Rafael Vazquez Hernandez
We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in structure preserving fashion the two de Rham sequences of differential forms inv ...
2023Two-point functions and bootstrap applications in quantum field theories
We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the ...
SPRINGER2022Covariant formulation of relativistic mechanics
Miguel Alexandre Ribeiro Correia
Accretion disks surrounding compact objects, and other environmental factors, deviate satellites from geodetic motion. Unfortunately, setting up the equations of motion for such relativistic trajectories is not as simple as in Newtonian mechanics. The prin ...
AMER PHYSICAL SOC2022An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is the barycentric-dual cellular complex of the starting simplicial mesh, and ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2021On the Initiation of Upward Negative Lightning by Nearby Lightning Activity: An Analytical Approach
Marcos Rubinstein, Antonio Sunjerga
Upward lightning occurs generally from tall structures. The mechanism of the initiation of upward lightning is not yet fully understood. Upward lightning can be classified into two categories based on either the absence or the presence of other lightning a ...
2021On the Discreteness of Transmission Eigenvalues for the Maxwell Equations
In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem is discrete, if the electromagnetic parameters $\eps, , \mu, , \heps, , \h ...
2020Characteristics of Upward Lightning Flashes
In addition to the general aims of lightning research such as lightning physics and meteorology, the study of upward lightning is of particular importance in protection of tall objects such as wind turbines and telecommunication towers. It also helps us in ...
EPFL2018Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations of the elastodynamics problem. We prove the stability analysis in the natural energy norm and derive optimal a-priori error estimates. ...
Springer Verlag2016Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates
It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...
2016Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates
It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...
2016