We define a finite differences method for triangular grids and we show how to link it to a finite element method. From this new point of view we then analyze properties of the solution and convergence.
Finite integration technique on triangular grids revisited
β Scribed by Ursula van Rienen
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 295 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0894-3370
No coin nor oath required. For personal study only.
β¦ Synopsis
The focus of this paper is on the solution of Maxwell's equations for time-harmonic "elds on triangular, possibly non-orthogonal meshes. The method described was "rst introduced in References 1 and 2 for eigenvalue problems arising in the design of accelerator components and dielectric loaded waveguides. It is based on the well-known Finite Integration Technique (FIT) which is a proven consistent discretization method for the computation of electromagnetic "elds. The FIT-discretization on non-orthogonal 2D grids has close relations to the NeH deH lec elements or edge elements in the Finite Element Method. Revisiting FIT on triangular grids this paper intends to stimulate thorough studies of the latter subject which is well worth further investigations.
π SIMILAR VOLUMES
## Abstract The reconstruction of a current distribution from measurements of the magnetic field is an important problem of current research in inverse problems. Here, we study an appropriate solution to the forward problem, i.e. the calculation of a current distribution given some resistance or co