2000
DOI: 10.1016/s0045-7825(00)00212-7
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Steady filtration problems with seawater intrusion: Penalized finite element approximations

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Cited by 2 publications
(10 citation statements)
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“…Finally, in Figure 10 we show the good agreement of a macro-hybrid penalized numerical simulation for the one-reservoir case, with matching and non-matching grids, in contrast with the corresponding globally conforming primal penalized numerical solution without domain decomposition according to Reference [15].…”
Section: Numerical Experimentsmentioning
confidence: 85%
See 3 more Smart Citations
“…Finally, in Figure 10 we show the good agreement of a macro-hybrid penalized numerical simulation for the one-reservoir case, with matching and non-matching grids, in contrast with the corresponding globally conforming primal penalized numerical solution without domain decomposition according to Reference [15].…”
Section: Numerical Experimentsmentioning
confidence: 85%
“…In particular, appropriate deÿnitions can be given as usual in terms of corresponding interpolants of the Dirichlet boundary prescribed function and the local obstacle functions, as we will do in Section 6 (cf. Reference [15] Regarding the discrete version of the dual transmission admissibility subspace Q * N of (27), we shall assume that hybrid approximations (32) are coincident at the interfaces in the following sense. Expressing the internal boundaries by e = cd∈Ie cd , e = 1; : : : ; E, with I e the corresponding e-interface index set, we assume that the internal boundary ÿnite element spaces are characterized by Bh …”
Section: Macro-hybrid Finite Element Approximationsmentioning
confidence: 99%
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“…The purpose of this article is to continue the study of penalized finite element approximations of filtration problems, with seawater intrusion, initiated in our work [1]. In [2], we stated the variational analysis of such two-free boundary problems, as an extension of the pioneer works of Brezis-Kinderlehrer-Stampachia [3][4][5], Carrillo-Menendez [6] and Chipot [7], on the one-free boundary dam problem with a general geometry.…”
Section: Introductionmentioning
confidence: 99%