An analysis of the variational inequalities of seepage flow by finite-element methods
Author:
Noboru Kikuchi
Journal:
Quart. Appl. Math. 35 (1977), 149-163
MSC:
Primary 76.49
DOI:
https://doi.org/10.1090/qam/462172
MathSciNet review:
462172
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- G. Duvaut and J.-L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972 (French). Travaux et Recherches Mathématiques, No. 21. MR 0464857
- Gaetano Fichera, Problemi elastostatici con vincoli unilaterali: Il problema di Signorini con ambigue condizioni al contorno, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 7 (1963/64), 91–140 (Italian). MR 178631
- J.-L. Lions and G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math. 20 (1967), 493–519. MR 216344, DOI https://doi.org/10.1002/cpa.3160200302
- J.-L. Lions, On free surface problems: methods of variational and quasi variational inequalities, Computational mechanics (Internat. Conf. on Computational Methods in Nonlinear Mech., Austin, Tex., 1974) Springer, Berlin, 1975, pp. 129–148. Lecture Notes in Math., Vol. 461. MR 0399983
- Claudio Baiocchi, Su un problema di frontiera libera connesso a questioni di idraulica, Ann. Mat. Pura Appl. (4) 92 (1972), 107–127. MR 408443, DOI https://doi.org/10.1007/BF02417940
- C. Baiocchi, V. Comincioli, E. Magenes, and G. A. Pozzi, 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 342026, DOI https://doi.org/10.1007/BF02414909
- Claudio Baiocchi, Problèmes à frontière libre en hydraulique, C. R. Acad. Sci. Paris Sér. A 278 (1974), 1201–1204 (French). MR 350180
V. Comincioli, Metodi di rilassamento per la minimizzazione in uno spazio prodotto, L.A.N., C.N.R., Pavia. 20, 1971
V. Comincioli, L. Guerri and G. Volpi, Analisi numerica di un problema di frontiera libera connesso col molo di un fluido attraverso un mezzo poroso, Publ. 17 del L.A.N. dell’Universita di Pavia, 1971
- Richard S. Falk, Error estimates for the approximation of a class of variational inequalities, Math. Comput. 28 (1974), 963–971. MR 0391502, DOI https://doi.org/10.1090/S0025-5718-1974-0391502-8
R. L. Taylor, A. M. Asce and C. B. Brown, Darcy flow solution with a free surface, A.S.C.E., Proc. HY93, 25–33 (1967)
- H. Brézis, Équations d’évolution du second ordre associées à des opérateurs monotones, Israel J. Math. 12 (1972), 51–60 (French). MR 317123, DOI https://doi.org/10.1007/BF02764814
- Colin W. Cryer, The solution of a quadratic programming problem using systematic overrelaxation, SIAM J. Control 9 (1971), 385–392. MR 0298922
G. Duvaut and J. L. Lions, Sur les inequations en mecanique et physique, Dunod, Paris (1972)
G. Fichera, Problemi elastostatici con vincoli unilaterali: el problema di Signorini con ambigue condizioni al contorno, Atti Acad. Naz, Lincei Mem. CI. Sci. Fis. Mat. Nat. 8, 91–140 (1964)
J. L. Lions and G. Stampacchia, Variational inequalities, Com. Pure Appl. Math. 20, 493–519 (1967)
J. L. Lions, On free surface problems, in Computational mechanics, Lecture Notes in Mathematics, No. 461, Springer-Verlag, 129–148 (1975)
C. Baiocchi, Su un problema di frontiera libera connesso a questioni di idraulica, Ann. di Mat. Pura ed Appl. (4) 92, 107–127 (1972)
C. Baiocchi, V. Comincioli, E. Magenes, and G. A. Pozzi, Free boundary problems in the theory of fluid How through porous media, Ann. di Mat. Pure, ed Appl. (4) 97, 1–82 (1973)
C. Baiocchi, Problèmes a frontiere libre en hydraulique, C. R. Acad. Sc. Paris 278, 1201–1204 (1974)
V. Comincioli, Metodi di rilassamento per la minimizzazione in uno spazio prodotto, L.A.N., C.N.R., Pavia. 20, 1971
V. Comincioli, L. Guerri and G. Volpi, Analisi numerica di un problema di frontiera libera connesso col molo di un fluido attraverso un mezzo poroso, Publ. 17 del L.A.N. dell’Universita di Pavia, 1971
R. S. Falk, Error estimates for the approximation of a class of variational inequalities, Math. Comp. 28, 963–971 (1974)
R. L. Taylor, A. M. Asce and C. B. Brown, Darcy flow solution with a free surface, A.S.C.E., Proc. HY93, 25–33 (1967)
H. Brezis, Problèmes unilateraux, J. Math. Pures et Appl. 51, 1–168 (1972)
C. W. Cryer, The solution of a quadratic programming problem using systematic overrelaxation, SIAM J. Control 9 (1971)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76.49
Retrieve articles in all journals
with MSC:
76.49
Additional Information
Article copyright:
© Copyright 1977
American Mathematical Society
