Name
Title | ||
|---|---|---|
Discretization of Maxwell's Equations for Non-inertial Observers Using Space-Time Algebra. |
Abstract | ||
|---|---|---|
We employ classical Maxwell’s equations formulated in space-time algebra to perform discretization of moving geometries directly in space-time. All the derivations are carried out without any non-relativistic assumptions, thus the application area of the scheme is not restricted to low velocities. The 4D mesh construction is based on a 3D mesh stemming from a conventional 3D mesh generator. The movement of the system is encoded in the 4D mesh geometry, enabling an easy extension of well-known 3D approaches to the space-time setting. As a research example, we study a manifestation of Sagnac’s effect in a rotating ring resonator. In case of constant rotation, the space-time approach enhances the efficiency of the scheme, as the material matrices are constant for every time step, without abandoning the relativistic framework. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s00006-018-0841-3 | Advances in Applied Clifford Algebras |
Keywords | DocType | Volume |
65M60,65M06,15A66,Clifford’s geometric algebra,Minkowski space-time,Finite integration technique,Whitney finite elements | Journal | abs/1611.07368 |
Issue | ISSN | Citations |
1 | 0188-7009 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mariusz Klimek | 1 | 0 | 0.34 |
| Stefan Kurz | 2 | 1 | 0.71 |
| Sebastian Schöps | 3 | 24 | 18.23 |
| Thomas Weiland | 4 | 24 | 6.26 |