We present estimates for the spatial error in fully discrete approximations to nonlinear parabolic problems that extend the a posteriori estimates for the continuous time semi-discretization introduced in de Frutos and Novo [J. de Frutos, J. Novo, A posteriori error estimation with the p version of
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics
β Scribed by M. A. Barrientos; G. N. Gatica; N. Heuer
- Publisher
- Springer Milan
- Year
- 2002
- Tongue
- English
- Weight
- 173 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0008-0624
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π SIMILAR VOLUMES
criterion Guaranteed upper bound Robustness a b s t r a c t We derive a posteriori error estimates for a class of second-order monotone quasi-linear diffusion-type problems approximated by piecewise affine, continuous finite elements. Our estimates yield a guaranteed and fully computable upper boun
## Abstract The paper is devoted to a __posteriori__ quantitative analysis for errors caused by linearization of nonβlinear elliptic boundary value problems and their finite element realizations. We employ duality theory in convex analysis to derive computable bounds on the difference between the s
Δ± Δ±a Matem a atica, Facultad de Ciencias F Δ± Δ±sicas y Matem a aticas, Universidad de Concepci o on, Casilla 160-C, Concepci o on, Chile