Foregående: The NFEARS project. Op: FAMØSmarts 1996 Næste: Kulturby 96

Litterature

1

Werner C. Rheinboldt. Numerical Analysis of Parametrized Nonlinear Equations, volume 7 of University of Arkansas Lecture Notes in the Mathematical Sciences. John Wiley & Sons, 1986.

2

Martin Golubitsky and David G. Schaeffer. Singularities and groups in bifurcation theory. Volume I, volume 51 of Applied Mathematical Sciences. Springer-Verlag, 1985.

3

Martin Golubitsky, Ian Stewart, and David G. Schaeffer. Singularities and groups in bifurcation theory. Volume II, volume 69 of Applied Mathematical Sciences. Springer-Verlag, 1988.

4

Jens Hugger. Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems. Computer Methods in Applied Mechanics and Engineering, 101:127-141, 1992.

5

Jens Hugger. The theory of density representation of finite element meshes. examples of density operators with quadrilateral elements in the mapped domain. Computer Methods in Applied Mechanics and Engineering, 109:17-39, 1993.

6

Jens Hugger. Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes. Computer Methods in Applied Mechanics and Engineering, 109:41-71, 1993.

7

Jens Hugger. Recovery of the optimal mesh density function and near-optimal meshes with rectangular elements in the mapped domain. Numerical Methods for Partial Differential Equations, An International Journal, 11:479-499, 1995.

8

Ivo Babuska, Jens Hugger, Theofanis Strouboulis, Kevin Copps, and Srihari K. Gangaraj. The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular element subdivisions in two dimensions. Work in progress, 1994.

9

Ivo Babuska and Dehao Yu. Asymptotically exact a posteriori error estimator for biquadratic elements. Finite Elements in Analysis and Design, 3:341-354, 1987.

10

Yu De-hao. Asymptotically exact a-posteriori error estimator for elements of bi-even degree. Chinese Journal of Numerical Mathematics & Applications, 13:2:64-78, 1991.

11

Yu De-hao. Asymptotically exact a-posteriori error estimators for elements of bi-odd degree. Chinese Journal of Numerical Mathematics & Applications, 13:4:82-90, 1991.

12

Jens Hugger. An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one dimensional problems with possible singularities in the solution. Journal of Computational and Applied Mathematics, 54:185-220, 1994.

13

Jens Hugger. An asymptotically exact, pointwise, a posteriori error estimator for the finite element method with super convergence properties. In Ivo Babuska, William D. Henshaw, Joseph E. Oliger, Joseph E. Flaherty, John E. Hopcroft, and Tayfun Tezduyar, editors, Volume 75 of the "IMA Volumes in Mathematics and its Applications" entitled Modelling, mesh generation, and adaptive numerical methods for partial differential equations., pages 277-305. Springer, 1995.

14

Jens Hugger. Local polynomial interpolation in a rectangle. Technical Note 924, CNR, Inst. of Num. Anal, Pavia, Italy, April 1994. To be published in Calcolo.

15

Jens Hugger. The equilibrium method for local, a posteriori, pointwise estimation of the finite element error. Preprint 2, Institute for Mathematics, Copenhagen University, January 1995.

16

Charles K. Mesztenyi and Werner C. Rheinboldt. NFEARS. a nonlinear adaptive finite element solver. Technical Report TR-1946, Department of Computer Science, University of Maryland at College Park, 1988.

17

Charles K. Mesztenyi. NFEARS. a nonlinear adaptive finite element solver. user's manual (version 7). Available also from Jens Hugger, hugger@math.ku.dk, 1995.