Literatur

a

Auswärtige Arbeiten

1

I. Babuska, W.C. Rheinboldt: Error estimates for adaptive finite element computations, SIAM J. Num. Anal. 15, 736-754 (1978).

2

S.C. Brenner and R.L. Scott: The Mathematical Theory of Finite Element Methods, Springer, Berlin-Heidelberg-New York, 1994.

3

P.G. Ciarlet: Finite Element Methods for Elliptic Problems, North-Holland, Amsterdam, 1978.

4

K. Eriksson, D. Estep, P. Hansbo and C. Johnson: Adaptive Finite Elements, Springer, Berlin-Heidelberg-New York, 1996.

5

S. Falk, B. Mercier: Error estimates for elasto-plastic problems, R.A.I.R.O. Anal. Numér. 11, (1977).

6

A. Bensoussan and J. Frehse: Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and H¹ regularity, Comment. Math. Univ. Carilinae 37, 285-304 (1996).

7

G. Duvaut and J. L. Lions: Inequalities in Mechanics and Physics, Springer, Berlin-Heidelberg-New York, 1976.

8

C. Johnson: On Finite Element Methods for Plasticity Problems ; Numer. Math. 26, 79-84, 1975

9

C. Johnson: A mixed finite element method for plasticity problems with hardening; SIAM J.Numer. Anal. 14 (1977).

10

C. Johnson, P. Hansbo: Adaptive finite element methods for small strain elasto-plasticity; Preprint Dep. of Math., Chalmers Univ. of Technology, The Univ. of Göteborg, 1991

11

C. Johnson, P. Hansbo: Adaptive Finite Element Methods in Computational Mechanics Computer Methods in Applied Mechanics and Engineering 101, 143-181, 1992.

12

C. Johnson, R. Scott: A finite element method for problems in perfect plasticity using discontinuous trial functions; in Finite Element Analysis in Structural Mechanics, Proc. of the Europe-US Workshop Ruhr-Universität Bochum, Germany 1980, (W.Wunderlich, E.Stein, K.J.Bathe,Hrg.)

13

T. Lehmann and U. Blix: On a coupled thermo-mechanical process in the necking problem, Int. J. Plasticity 1, 175-188 (1985).

14

J. Lubliner: Plasticity Theory, Macmillan Publishing Company, 1990.

15

V.G. Maz'ja and B.A. Plamenevskij: Coefficients in the asymptotic of solutions of elliptic boundary value problems, J. Sov. Math. 9, 750-764 (1980).

16

P. Neittaanmäki,V. Rivkind, G. Seregin: A Dual Finite Element Approach for Stresses of Elasto-Perfectly Plastic Bodies ; Ber. Univ. Jyväskylä Math. Inst. 56, 101-110 (1993).

17

G. A. Seregin: On the regularity of weak solutions of variational problems in plasticity theory, Soviet Math. Dokl. 42, (1991).

18

G. Strang: A minimax problem in plasticity theory; Functional Analysis Methods in Numerical Analysis (M.Z. Nashed, Her.), Lecture Notes in Mathematics 701, Springer, 1979.

19

R. Temam: Mathematical Problems in Plasticity; Gauthiers-Villars 1985.

20

R. Verfürth: A posteriori error estimation and adaptive mesh-refinement techniques, J. Comp. Appl. Math. 50, 67-83 (1994).

21

R. Verfürth: A Review of A Posteriori Estimation and Adaptive Mesh-Refinement Techniques, Advances in Numerical Mathematics, Wiley/Teubner, New York-Stuttgart, 1996.

22

O.C. Zienkiewicz and J.Z. Zhu: A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Numer. Methods Engrg. 24, (1987).

b

Arbeiten aus der eigenen Arbeitsgruppe

23

R. Becker, C. Johnson, R. Rannacher: Adaptive error control for multigrid finite element methods; Computing 55, 271-288 (1995).

24

R. Becker, G. Kanschat, F.T. Suttmeier: DEAL, Differential Equation Analysis Library, Release 1.0; Technischer Report, IWR, Universität Heidelberg, 1995.

25

R. Becker, R. Rannacher: Weighted a-posteriori error estimates in FE methods; Proc. ENUMATH Ô95, Paris, September 1995 (E. Maday, et al., eds.).

26

R. Becker, R. Rannacher: A feed-back approach to error control in finite element methods: Basic analysis and examples; East-West J. Numer. Math. 4, 237-264 (1996).

27

K. Böttcher and R. Rannacher Adaptive error control in solving ordinary differential equations by the discontinuous Galerkin method, Preprint, Institute for Applied Mathematics, University of Heidelberg, October 1996.

28

C. Führer, F.-K. Hebeker, and R. Rannacher: An adaptive finite element method for unsteady convection-dominated flows with stiff source terms, Preprint, SFB 359, University of Heidelberg, March 1997.

29

C. Johnson, R. Rannacher, M. Boman: Numerics and hydrodynamical stability: Towards error control in CFD; SIAM J. Numer. Anal. 32, 1058-1079 (1995).

30

G. Kanschat: Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems, Dissertation, Institute for Applied Mathematics, University of Heidelberg, 1996.

31

R. Rannacher, F.-T. Suttmeier: A feed-back approach to error control in finite element methods: Application to linear elasticity; Preprint, Institut fŸr Angewandte Mathematik, Universität Heidelberg, Sept. 1996, erscheint in Comp. Mech.

32

R. Rannacher, F.-T. Suttmeier: A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity; Preprint, Institut für Angewandte Mathematik, Universität Heidelberg, März 1997, eingereicht bei Comp. Mech.

33

F.-T. Suttmeier: Adaptive Finite Element Approximation of problems in Elasto-Plasticity Theory; Dissertation, Institut für Angewandte Mathematik, Universität Heidelberg, Dezember 1996.

34

F.-T. Suttmeier: An adaptive finite element scheme for the Prandtl-Reuss model in perfect plasticity, Preprint, Institute for Applied Mathematics, University of Heidelberg, April 1997.

Heidelberg, den 01. April 1997 Prof. Dr. R. Rannacher Dr. F.-T. Suttmeier