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Article
A posteriori error estimates and domain decomposition with nonmatching grids
Let F be a nonlinear map** defined from a Hilbert space X into its dual X′, and let x be in X the solution of F(x)=0. Assume that, a priori, the zone where the gradient of the function x has a large variation ...
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Article
Adaptive finite element for semi-linear convection–diffusion problems
In this article a strategy of adaptive finite element for semi-linear problems, based on minimizing a residual-type estimator, is reported. We get an a posteriori error estimate which is asymptotically exact w...