Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete-Time A Priori Error Estimates
✍ Scribed by Chippada, S.; Dawson, C. N.; MartÍnez-Canales, M. L.; Wheeler, M. F.
- Book ID
- 118188774
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 520 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0036-1429
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## Abstract Dispersion analysis of discrete solutions to the shallow water equations has been extensively used as a tool to define the relationships between frequency and wave number and to determine if an algorithm leads to a dual wave number response and near 2Δ__x__ oscillations. In this paper,
In part I of this investigation, we proved that the standard a posteriori estimates, based only on local computations, may severely underestimate the exact error for the classes of wave-numbers and the types of meshes employed in engineering analyses. We showed that this is due to the fact that the