A Posteriori Error Estimation in Finite Element Analysis
Citations
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Cites background from "A Posteriori Error Estimation in Fi..."
...(1998); Ainsworth and Oden (1993) and the reviews papers (Eriksson et al., 1995; Verfürth, 1994, 1999; Ainsworth and Oden, 2000; Becker and Rannacher, 2001)....
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Cites methods from "A Posteriori Error Estimation in Fi..."
...Some sources of errors arising in computer simulations now can be controlled and reduced by using sophisticated techniques such as a posteriori error estimation [1, 3, 57], mesh adaptivity, and the more recent modeling error analysis [49, 50, 13]....
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References
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"A Posteriori Error Estimation in Fi..." refers background or methods in this paper
...The duality argument due to Aubin and Nitsche, as described, for instance in Ciarlet [50], plays an important role in the derivation of a priori error estimates in norms other than the energy norm....
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...It is assumed that the reader is familiar with the standard theory of finite element analysis as described in the books of Brenner and Scott [45], Ciarlet [50], and Oden and Reddy (93]....
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...See Ciarlet [50], Brenner and Scott [45] or Oden and Reddy [93]....
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...It is known [50) that the adjoint problem (2....
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...Hence, I qx - gxyl n, < 2 Iq - Ixgllz, Applying the Aubin-Nitsche duality argument [50] over the convex subdomain 521, one obtains...
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7,158 citations
"A Posteriori Error Estimation in Fi..." refers background or methods in this paper
...See Ciarlet [50], Brenner and Scott [45] or Oden and Reddy [93]....
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...It is assumed that the reader is familiar with the standard theory of finite element analysis as described in the books of Brenner and Scott [45], Ciarlet [50], and Oden and Reddy (93]....
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...Such approximations have been considered by Clement [26] and Scott and Zhang [52]: THEOREM 1.1....
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