منابع مشابه
On A Posteriori Error Estimates
Consider a sequence {xn}n—Q in a normed space X converging to some x* £ X. It is shown that the sequence satisfies a condition of the type ||x* -x„|| < oi||xn xn_¡\\ for some constant a and every n > 1, if the associated null sequence {e„}„=q, en = x* — xn, is uniformly decreasing in norm or if it is alternating with respect to any ordering whose cone of positive elements is acute.
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This paper presents a posteriori error estimates for the hp{version of the boundary element method. We discuss two rst kind integral operator equations , namely Symm's integral equation and the integral equation with a hypersingular operator. The computable upper error bounds indicate an algorithm for the automatic hp{adaptive mesh{reenement. The eeciency of this method is shown by numerical ex...
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Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In Beck et al., 2000, a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the present paper, we prove the reliability of that error estimator on Lipschitz domains. The key is to establish ...
متن کاملA Note on Constant-Free A Posteriori Error Estimates
In this note we look at constant-free a posteriori error estimates from a different perspective. We show that they can be interpreted as an alternative way of expressing the residual of a finite element approximation and thus fit into the same framework as other a posteriori error estimates such as residual error indicators. Our approach also reveals that, when applied to singularly perturbed r...
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Superconvergence of order O(h), for some ρ > 0, is established for the gradient recovered with the Polynomial Preserving Recovery (PPR) when the mesh is mildly structured. Consequently, the PPR-recovered gradient can be used in building an asymptotically exact a posteriori error estimator.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1977
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1977-0426418-4