Proceedings Article10.1109/IMOC.2003.1242863
Finite element time domain method using piecewise constant basis functions
Jr. W.A. Artuzi
- 10 Nov 2003
- Vol. 2, pp 1029-1032
TL;DR: In this paper, the Whitney differential forms used in finite element time domain methods for electrodynamic computations are replaced by simpler piecewise constant forms in order to arrive at a concise, explicit and stable time domain formulation to be used with unstructured grids.
read more
Abstract: Whitney differential forms used in finite element time domain methods for electrodynamic computations are replaced by simpler piecewise constant forms in order to arrive at a concise, explicit and stable time domain formulation to be used with unstructured grids. As a result, a simple computational algorithm has been implemented and numerical tests demonstrate its advantages over some finite difference time domain approaches.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
A New Explicit Time-Domain Finite-Element Method Based on Element-Level Decomposition
Zheng Lou,Jian-Ming Jin +1 more
TL;DR: A new explicit time-domain finite-element method (TDFEM), which is fundamentally different from traditional explicit TDFEM formulations for solving Maxwell's equations, is introduced and the computational complexity of the method is reduced to only O(N) for both computer memory and CPU time.
38
The FDTD Simulating the Attenuation of a Plan Electromagnetic Wave Crossing of a Radome in the Weather Radar
E. A. Saraiva,M. Fernandez Souza,H. Tertuliano Filho,W. Artuzi Junior,C. A. Benetti,Cesar Augusto Dartora +5 more
- 24 May 2006
TL;DR: In this paper, the authors presented the results of simulations in plan electromagnetic waves (EMW) horizontally polarized propagate through the radome of protection in a Weather) Radar antenna, using the method of Finite Difference in Time Domain (FDTD).
2
References
•Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
Allen Taflove
- 31 May 1995
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism
Alain Bossavit
- 01 Nov 1988
TL;DR: In this article, it has been recognized that numerical computations of magnetic fields by the finite-element method may require new types of elements, whose degrees of freedom are not field values at mesh nodes, but other field-related quantities like e.g. circulations along edges of the mesh.
523
Error estimates for Yee's method on non-uniform grids
Peter Monk,Endre Süli +1 more
TL;DR: In this article, the authors analyzed the order of convergence of Yee's finite difference time domain method on non-uniform, but rectangular, grids and proved that the method is always second order convergent.
84
WETD /spl minus/ a finite element time-domain approach for solving Maxwell's equations
TL;DR: A general stability condition has been derived for the WETD(/spl Theta/) method of which the central and backward differences are special cases corresponding to /spl TheTA/=1 and /spl theta/=0, respectively.
83