논문KCI 등재
Saturation assumptions for a 1d convection-diffusion model
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We refer to the saturation assumptions on the finite element approximation for a one dimensional convection-diffusion model. By examining piecewise linear finite elements with refined mesh by half and hierarchical bases, we verify the saturation results, respectively.
Abstract
We refer to the saturation assumptions on the finite element approximation for a one dimensional convection-diffusion model. By examining piecewise linear finite elements with refined mesh by half and hierarchical bases, we verify the saturation results, respectively.
참고문헌 (7)
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- R. E. Bank, "A simple analysis of some a posteriori error estimates", Applied Numer. Math, 26, pp.153~164 (1998)
- . E. Bank, "A posteriori error estimates based on hierarchical bases", SIAM J. Numer. Anal, 30(4), pp.921~935 (1993)
- R. E. Bank, "Some a posteriori error estimators for elliptic partial differential equations", Math. Comp, 44, pp.285~301 (1985)
- W. Dorfler, "Small data oscillation implies the saturation as-sumption", Numer. Math, 91, pp.1~12 (2002)
- A. D. Rossi, "Saturation assumption and finite element method for a one-dimensional model", RGMIA research report collection, 5(2), pp.361~366 (2002)
- H. Yserentant, "Hierarchical bases", Proc. ICIAM 91, pp.256~276 (1992), SIAM Philadelphia
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