Ritz analysis of discontinuous beams using local trigonometric functions
β Scribed by Thi D. Dang; Rakesh K. Kapania; Mayuresh J. Patil
- Book ID
- 106158538
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 868 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0178-7675
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π SIMILAR VOLUMES
## Abstract We develop finite volume method using discontinuous bilinear functions on rectangular mesh. This method is analyzed for the Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a meshβdependent norm. First order __L__^2^βerror estimates are derive
A fast converging series consisting of a set of static beam functions, which is a combination of sine series and polynomials, is developed and these functions are used as the basis functions in the Rayleigh-Ritz method to study the vibrational characteristics of thin, isotropic rectangular plates. I