@article{M2AN_1988__22_4_655_0, author = {Peisker, P.}, title = {On the numerical solution of the first biharmonic equation}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {22}, year = {1988}, pages = {655-676}, mrnumber = {974292}, zbl = {0661.65112}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1988__22_4_655_0} }
Peisker, P. On the numerical solution of the first biharmonic equation. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 655-676. http://gdmltest.u-ga.fr/item/M2AN_1988__22_4_655_0/
[1] Finite Element Solution of Boundary Value Problems, Theory and Computation. Academic Press 1984. | MR 758437 | Zbl 0537.65072
and ,[2] Fast numerical solution of the biharmonic Dirichlet problem on rectangles, Siam J. Numer. Anal. 20, 59-71 (1983). | MR 687367 | Zbl 0561.65077
,[3] 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] 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
and ,[5] The Finite Element Method for Elliptic Problems, North Holland 1978. | MR 520174 | Zbl 0383.65058
,[6] 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
and ,[7] Solving the biharmonic equation as a coupled difference equation, Siam J. Numer. Anal. 8, 278-287 (1971). | MR 288972 | Zbl 0215.55702
,[8] Numerical methods for the first biharmonic equation and for the two dimensional Stokes problem, Siam Rev., 167-212 (1979). | MR 524511 | Zbl 0427.65073
and ,[9] Multi-Grid Methods and Applications, Springer Berlin-Heidelberg-New York, Heidelberg 1985. | Zbl 0595.65106
,[10] Non-Homogeneous Boundary Value Problems and Applications I, Springer Berlin-Heidelberg-New York 1972. | Zbl 0223.35039
, ,[11] Zwei numerische Verfahren zur Lösung der biharmonischen Gleichung unter besonderer Berücksichtigung der Mehrgitteridee, Dissertation, Bochum 1985. | Zbl 0573.65085
,[12] Boundary subspaces for the finite element method with Lagrange multipliers, Numer. Math. 33, 273-289 (1979). | MR 553590 | Zbl 0422.65062
,[13] Error estimates for a mixed finite element approximation of the Stokes equations, R.A.I.R.O. Numerical Analysis 18, 175-182 (1984). | Numdam | MR 743884 | Zbl 0557.76037
,[14] 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] Praktische Mathematik II, Springer Berlin-Heidelberg-New York 1979. | MR 520918 | Zbl 0383.65001
and ,[16] Boundary properties of functions of class on regions with angular points, Doklady Academy of Sciences of U.S.S.R. 140, 73-76 (1961). | MR 136988 | Zbl 0112.33204
,