C 0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

R.A. Adams, 2003, Sobolev Spaces, 2

Adini, A., and Clough, R. W. (1961). Analysis of Plate Bending by the Finite Element Method, Technical Report G. 7337, NSF.

J. H. Argyris, 1968, Aero. J. Roy. Aero. Soc., 72, 701

I. Babuška, 1973, SIAM J. Numer. Anal., 10, 863, 10.1137/0710071

C. Bacuta, 2002, Shift Theorems for the Biharmonic Dirichlet Problem. In {Recent Progress in Computational and Applied PDEs, 1, 10.1007/978-1-4615-0113-8_1

G. Baker, 1977, Math. Comp., 31, 45, 10.1090/S0025-5718-1977-0431742-5

F. Ben Belgacem, 2001, Electron.Trans.Numer.Anal.(ETNA), 12, 134

Bogner, F. K., Fox, R. L., and Schmit, L. A. (1965). The generation of interelement compatible stiffness and mass matrices by the use of interpolation formulas. In Proceedings Conference on Matrix Methods in Structural Mechanics, Wright Patterson A.F.B., Dayton, OH, pp. 397–444.

J.H. Bramble, 1970, SIAM J. Numer. Anal., 7, 113, 10.1137/0707006

S.C. Brenner, 1996, Math. Comp., 65, 897, 10.1090/S0025-5718-96-00746-6

S.C. Brenner, 1998, SIAMJ.Numer.Anal., 35, 1883, 10.1137/S0036142996308022

S.C. Brenner, 1999, Math.Comp., 68, 25, 10.1090/S0025-5718-99-01035-2

S.C. Brenner, 2003, SIAMJ.Numer.Anal., 41, 306, 10.1137/S0036142902401311

S.C. Brenner, 2002, The Mathematical Theory of Finite Element Methods, 2, 10.1007/978-1-4757-3658-8

Brenner, S. C., and Sung, L. Y. (2004). Multigrid algorithms for C 0 interior penalty methods. JMI research report 2004:11.

Ciarlet, P. G. (1978). The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam.

M. Dauge, 1988, Elliptic Boundary Value Problems on Corner Domains, 10.1007/BFb0086682

J. Douglas Jr., 1979, R.A.I.R.O. Modél. Math. Anal. Numér., 13, 227

T. Dupont, 1980, Math. Comp., 34, 441, 10.1090/S0025-5718-1980-0559195-7

G. Engel, 2002, Comput. Meth. Appl. Mech. Eng., 191, 3669, 10.1016/S0045-7825(02)00286-4

N. A. Fleck, 1997, Adv. Appl. Mech., 33, 295, 10.1016/S0065-2156(08)70388-0

P. Grisvard, 1985, Elliptic Problems in Non Smooth Domains

L.S.D. Morley, 1968, Aero.Quart., 19, 149, 10.1017/S0001925900004546

S.A. Nazarov, 1994, Elliptic Problems in Domains with Piecewise Smooth Boundaries, 10.1515/9783110848915

T. K. Nilssen, 2001, Math. Comp., 70, 489, 10.1090/S0025-5718-00-01230-8

Z. Shi, 1986, Math. Numer. Sinica, 8, 53

J.Y. Shu, 1999, Internat. J. Numer. Meth. Eng., 44, 373, 10.1002/(SICI)1097-0207(19990130)44:3<373::AID-NME508>3.0.CO;2-7

Triebel, H. (1978). Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam.