@article{M2AN_2000__34_3_707_0, author = {Chaabane, Slim and Jaoua, Mohamed}, title = {Un algorithme d'identification de fronti\`eres soumises \`a des conditions aux limites de Signorini}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, pages = {707--722}, publisher = {Dunod}, address = {Paris}, volume = {34}, number = {3}, year = {2000}, zbl = {0954.65050}, mrnumber = {1763532}, language = {fr}, url = {http://www.numdam.org/item/M2AN_2000__34_3_707_0/} }
Chaabane, Slim; Jaoua, Mohamed. Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 34 (2000) no. 3, pp. 707-722. http://www.numdam.org/item/M2AN_2000__34_3_707_0/
[1] Identifiabilité de frontières inaccessibles par une mesure unique de surface. Annales Maghrébines de l'Ingénieur, 7 (1993) 5-24.
, et ,[2] On a non linear geometrical inverse problem of Signorini type: identifiability and stability. Math. Meth. in the Appl. Sci. 21 (1998) 1379-1398. | MR 1648511 | Zbl 0936.35189
, , et ,[3] Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element method. Sinum (à paraître). | Zbl 0974.74055
,[4] Error estimates for the finite element solution of variational inequalities. Numer. Math. 28 (1977) 431-443. | MR 448949 | Zbl 0369.65030
, et[5] Identification of Robin coefficients by the means of boundary measurements. Inverse Problems 15 (1999) 1425-1438. | MR 1733209 | Zbl 0943.35100
et ,[6] Iterative methods for the reconstraction of an inverse potential problem. Inverse Problems 12 (1996)251-266. | MR 1391538 | Zbl 0858.35134
et[7] Régularité des solutions d'un problème mêlé Dirichlet-Signorini dans un domaine polygonal plan. Comm. Partial Diff. Eq. 17 (1992) 805-826. | MR 1177293 | Zbl 0806.35049
et ,[8] Numerical implementation of a variational method for electrical impedance tomography. Inverse Problems 6 (1990) 389-414. | MR 1057033 | Zbl 0718.65089
et[9] Determinig conductivity by boundary measurements; interior results. Comm. Pure Appl. Math. 38 (1985) 644-667. | Zbl 0595.35092
et ,[10] Relaxation of a variational method for impedance computed tomography. Comm. Pure Appl. Math. 40 (1987) 745-777. | MR 910952 | Zbl 0659.49009
et ,[11] Estimation of interfaces from boundary measurements. SIAM J. Cont. Opt. 32 (1994) 867-894. | MR 1297103 | Zbl 0807.35162
et ,[12] Quelques méthodes de résolution de problèmes aux limites non linéaires. Dunod, Paris (1969). | Zbl 0189.40603
,[13] Problèmes aux limites non homogènes et applications, tome 1 Dunod, Paris (1968). | Zbl 0165.10801
et ,[14] Numerical methods for shape identification problems. Control and Cybenetics 25 (1996) 867-894. | MR 1464028 | Zbl 0876.65048
et ,[15] Differentiation with respect to the domaine in boundary value problems. Num. Func. Anal. Opt. 2 (1980) 649-687. | MR 619172 | Zbl 0471.35077
,[16] Introduction to shape optimization; shape sensitivity analysis. Springer Verlag (1992). | MR 1215733 | Zbl 0761.73003
et ,