## Abstract The “conventional” finite element‐boundary integral (FE‐BI) method suffers from two major drawbacks, one is the huge computer resources required by the dense BI submatrix; the other is the slow convergence rate of the resulting linear system of equations. In this article, both the drawb
A time-marching finite element method for an electromagnetic scattering problem
✍ Scribed by Tri Van; Aihua Wood
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 182 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.411
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✦ Synopsis
Abstract
In this paper, Newmark time‐stepping scheme and edge elements are used to numerically solve the time‐dependent scattering problem in a three‐dimensional polyhedral cavity. Finite element methods based on the variational formulation derived in Van and Wood (Adv. Comput. Math., to appear) are considered. Existence and uniqueness of the discrete problem is proved by using Babuska–Brezzi theory. Finite element error estimate and stability of the Newmark scheme are also established. Copyright © 2003 John Wiley & Sons, Ltd.
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