References
- Brezis , H. and Stamnacchia , G. 1977 . Remarks on some fourth-order variational inequalities . Ann. Sci. Nor. Sup. Pisa , 4 ( 4 ) : 363 – 371 .
- Cafarelli , L.A. and Friedman , A. 1979 . The obstacle problem for the biharmonic operator . Ann. Sci. Nor. Sup. Pisa , 6 ( 4 ) : 151 – 184 .
- Ciarlet , P.G. 1978 . The finite element method for elliptic problems , North-Holland : Amsterdam .
- Comodi , M.I. 1985 . Approximation of a plate bending problem with a boundary unilateral constraint . Numer. Math , 47 : 435 – 458 .
- 1985 . Approximation of a fourth-order variational inequality . RAIRO M2NA 20 , : 25 – 46 .
- Frehse , J. 1973 . On the regularity of the solution of the biharmonic variational inequality . Manuscripta Math , 9 : 91 – 103 .
- Friedman , A. 1982 . “ Variational principles and free boundary problems ” . New York : John Wiley & Sons .
- Fusciardi , A. and Scapniri , F. 1980 . A mixed finite element solution of some biharmonic unilateral problems . Numer. Funct. Anal, and Optimz. , 2 ( 5 ) : 397 – 420 .
- Glowinski , R. 1984 . “ Numerical methods for non-linear variational problems ” . New York : Springer-Verlag .
- Glowingski , R. , Lions , J.L. and Tiemoliers , R. “ Numerical analysis of variational inequalities ” .
- Glowingski , R. , Matini , L.D. and Vidrasen , M. 1984 . Finite element approximations and iterative solutions of a fourth-order elliptic variational inequality . IMA J. Numer. Anal. , 4 : 127 – 167 .
- Lascaux , P. and Lesaint , P. 1975. . Some nonconforming finite element for the plate bending problem . RAIRO Numer. Anal. R-l , : 9 – 53 .
- Rannacher , R. 1979 . On nonconforming and mixed finite element methods for the plate bending problems, the linear case . RAIRO Numer. Anal. , 13 ( 4 ) : 369 – 387 .
- Deng , Qingping and Shen , Shumin . 1990 . On a mixed finite element methods for the plate bending problem, the linear case . Chin. J. Num. Math. & Appl. , 13 ( 1 ) : 32 – 39 .
- Deng , Qingping . 1991 . On limiting regularities of solution of a fourth-order variational inequality . J. Math. Research & Exposition , 11 ( 1 ) : 93 – 96 . (in Chinese)
- Gilbarg , D. and Trudinger , N.S. 1983 . “ Elliptic partial equation of second order, 2nd ed ” . New York : Springer-Verlag .
- Ladyzhenskaja , O.A. and Uralbceva , N.N. “ Linear and quasilinear equations of elliptic type ” . in Russian
- Ekelamd , J. and Temam , R. 1976 . “ Convex analysis and variational problems ” . North-Holland : Amsterdam .
- Cea , J. 1978 . “ Optimization theory and algorithms ” . New York : Springer-Verlag .