@article{M2AN_1982__16_4_463_0, author = {Pietra, P.}, title = {An up-wind finite element method for a filtration problem}, journal = {RAIRO. Analyse num\'erique}, pages = {463--481}, publisher = {Centrale des revues, Dunod-Gauthier-Villars}, address = {Montreuil}, volume = {16}, number = {4}, year = {1982}, mrnumber = {684833}, zbl = {0506.76095}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1982__16_4_463_0/} }
TY - JOUR AU - Pietra, P. TI - An up-wind finite element method for a filtration problem JO - RAIRO. Analyse numérique PY - 1982 SP - 463 EP - 481 VL - 16 IS - 4 PB - Centrale des revues, Dunod-Gauthier-Villars PP - Montreuil UR - http://archive.numdam.org/item/M2AN_1982__16_4_463_0/ LA - en ID - M2AN_1982__16_4_463_0 ER -
Pietra, P. An up-wind finite element method for a filtration problem. RAIRO. Analyse numérique, Tome 16 (1982) no. 4, pp. 463-481. http://archive.numdam.org/item/M2AN_1982__16_4_463_0/
[1] Stromungen durch inhomogene porose Medien mit freiem Rand, J Reine Angew Math 305 (1979), 89-115 | EuDML | MR | Zbl
,[2] Numerical solution of steady-state porous flow free boundary problems, Numer Math 36 (1980), 73-98 | EuDML | MR | Zbl
,[3] The behavior of the free boundary for the dam problem, to appear | Numdam | Zbl
, ,[4] Su un problema di frontiera libera connesso a questioni di idraulica, Ann Mat Pura Appl (4) 92 (1972), 107-127 | MR | Zbl
,[5] Studio di un problema quasi-variazionale connesso a problemi di frontiera libera, Boll U M I (4) 11 (Suppl fasc 3) (1975), 589-631 | MR | Zbl
,[6] Disequazioni variazionai e quasi-variazionali Applicazioni a problemi di frontiera libera, Vol 1, 2 (1978), Pitagora Editrice, Bologna
, ,[7] Free boundary problems in the theory of fluid flow through porous media a numerical approach, Calcolo 10 (1973), 1-86 | MR | Zbl
, , , ,[8] Free boundary problems in the theory of fluid flow through porous media existence and uniqueness theorems, Ann Mat Pura Appl (4) 97 (1973), 1-82 | MR | Zbl
, , , ,[9] Dynamics of fluids in porous media (1972), American Elsevier, New York | Zbl
,[10] Sur une nouvelle formulation du problème de l'écoulement à travers une digue, C R Acad Sc Paris (1978) | Zbl
, , ,[11] A finite approximation for solving the dam problem, Calcolo 13 (1976), 257-273 | Zbl
, ,[12] Problème de l'écoulement à travers une digue (1981), Doctorat d'Etat, Université Pierre et Marie Curie, Paris
,[13] Maximum principle and uniform convergence for the finite element method, Comput Methods Appl Engrg 2 (1973), 17-31 | Zbl
, ,[14] On the approximate solution of free boundary problems using finite differences, J Assoc Comput Mach 17 (1970), 397-411 | Zbl
,[15] Error estimates for the approximation of a class of variational inequalities, Math Comp 28 (1974), 963-971 | Zbl
,[16] Analyse numérique des inéquations variationnelles, Vol 1, 2 (1976), Dunod, Paris | Zbl
, , ,[17] The flow of homogeneous fluids through porous media (1937), McGraw-Hill, New York | JFM
,[18] Approximation numérique des phénomènes de diffusion-convection (1979), Ecole d'été d'analyse numérique, C E A, E D F, I R I A
,[19] Uniform convergence of the up-wind finite element approximation for semilinear parabolic problems, J Math , Kyoto Univ 18 (1978), 327-351 | MR | Zbl
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