Free Access
Issue
ESAIM: M2AN
Volume 22, Number 4, 1988
Page(s) 655 - 676
DOI https://doi.org/10.1051/m2an/1988220406551
Published online 31 January 2017
  1. O. AXELSSON and V. A. BARKER, Finite Element Solution of Boundary Value Problems, Theory and Computation. Academic Press 1984. [MR: 758437] [Zbl: 0537.65072]
  2. P. E. BJØRSTAD, Fast numerical solution of the biharmonic Dirichlet problem on rectangles, Siam J. Numer. Anal. 20, 59-71 (1983). [MR: 687367] [Zbl: 0561.65077]
  3. J. F. BOURGAT, Numerical study of a dual iterative method for solving a finite element approximation of the biharmonic equation, Comput. Methods Appl. Mech. 9, 203-218 (1976). [MR: 431743] [Zbl: 0335.65052]
  4. D. BRAESS and P. PEISKER, On the numerical solution of the biharmonic equation and the role of squaring matrices for preconditioning, IMA Journal of Numerical Analysis 6, 393-404 (1986). [MR: 968266] [Zbl: 0616.65108]
  5. P. G. CIARLET, The Finite Element Method for Elliptic Problems, North Holland 1978. [MR: 520174] [Zbl: 0383.65058]
  6. P. G. CIARLET and R. GLOWINSKI, Dual iterative techniques for solving a finite element approximation of the biharmonic equation, Comput. Methods Appl. Mech. 5, 277-295 (1975). [MR: 373321] [Zbl: 0305.65068]
  7. L. W. EHRLICH, Solving the biharmonic equation as a coupled difference equation, Siam J. Numer. Anal. 8, 278-287 (1971). [MR: 288972] [Zbl: 0215.55702]
  8. R. GLOWINSKI and O. PIRONNEAU, Numerical methods for the first biharmonic equation and for the two dimensional Stokes problem, Siam Rev., 167-212 (1979). [MR: 524511] [Zbl: 0427.65073]
  9. W. HACKBUSCH, Multi-Grid Methods and Applications, Springer Berlin-Heidelberg-New York, Heidelberg 1985. [Zbl: 0595.65106]
  10. J. L. LIONS, E. MAGENES, Non-Homogeneous Boundary Value Problems and Applications I, Springer Berlin-Heidelberg-New York 1972. [Zbl: 0223.35039]
  11. P. PEISKER, Zwei numerische Verfahren zur Lösung der biharmonischen Gleichung unter besonderer Berücksichtigung der Mehrgitteridee, Dissertation, Bochum 1985. [Zbl: 0573.65085]
  12. J. PITKÄRANTA, Boundary subspaces for the finite element method with Lagrange multipliers, Numer. Math. 33, 273-289 (1979). [EuDML: 132641] [MR: 553590] [Zbl: 0422.65062]
  13. R. VERFÜRTH, Error estimates for a mixed finite element approximation of the Stokes equations, R.A.I.R.O. Numerical Analysis 18, 175-182 (1984). [EuDML: 193431] [MR: 743884] [Zbl: 0557.76037]
  14. O. B. WIDLUND, Iterative methods for elliptic problems partitioned into substructures and the biharmonic Dirichlet problem, in : Proceedings of the sixth international conference on computing methods in science and engineering held at Versailles, France, December, 12-16, 1983. [Zbl: 0569.65081]
  15. H. WERNER and R. SCHABACK, Praktische Mathematik II, Springer Berlin-Heidelberg-New York 1979. [MR: 520918] [Zbl: 0383.65001]
  16. G. N. YAKOVLEV, Boundary properties of functions of class $W_p^{(l)}$ on regions with angular points, Doklady Academy of Sciences of U.S.S.R. 140, 73-76 (1961). [MR: 136988] [Zbl: 0112.33204]

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