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
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Additional Information
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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)
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Article copyright:
© Copyright 1977
American Mathematical Society