Goal-oriented error estimates, based on dual solutions, are derived for the S-parameters of a waveguide cavity resonator and a computationally cheap method is proposed to compute these. Numerical results show that the error estimators are relatively accurate, usually well within a factor 2 from the
Verification of goal-oriented HP-adaptivity
✍ Scribed by M. Paszyński; L. Demkowicz; D. Pardo
- Book ID
- 104007648
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 897 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
The paper presents calculations for the radiation of a loop antenna wrapped around a metallic cylinder into a conductive medium. The problem has been solved analytically by using Fourier transform and Bessel functions. The analytical solution has been used to verify a goal-oriented hp adaptive strategy based on a simultaneous solution of a dual problem, and an hp strategy based on minimizing the projection-based interpolation error of a reference solution.
📜 SIMILAR VOLUMES
## a b s t r a c t The error in a local quantity of interest depends on the error in the corresponding dual solution or generalized Green's function. This fact is used in dual-weighted based goal-oriented error estimation techniques and h-or p-adaptive algorithms. This contribution is concerned wit