For a class of two-dimensional boundary value problems including diffusion and elasticity problems, it is proved that the constants in the corresponding strengthened Cauchy-Buniakowski-Schwarz (CBS) inequality in the cases of two-level hierarchical piecewise-linear/piecewise-linear and piecewise-lin
โฆ LIBER โฆ
Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems
โ Scribed by R. Blaheta; S. Margenov; M. Neytcheva
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 155 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.350
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The constant y in the strengthened Cauchy-Buniakowski-Schwarz (C.B.S.) inequality plays a crucial role in the convergence rate of multilevel iterative methods as well as in the efficiency of a posteriori error estimators, that is in the framework of finite element approximations of S.P.D. problems.