论文信息 - Minimum time-step size for diffusion problem in FEM analysis

Minimum time-step size for diffusion problem in FEM analysis

In this paper oscillation of results arising from the use of a time-step size which is less than the minimum required is examined. The phenomenon is summarised to give two requirements that the solution of boundary problems has to satisfy. An approach to derive the minimum time-step size for various kinds of elements is developed. A theoretical verification is presented for the one-dimensional two-noded element case and a numerical examination of the criteria explored for the two-dimensional eight-noded element case. © 1997 John Wiley & Sons, Ltd.

Hywel Rhys Thomas | Z. Zhou

[1] Bernard Schrefler,et al. On convergence conditions of partitioned solution procedures for consolidation problems , 1993 .

[2] Time step constraints in finite element analysis of the Poisson type equation , 1989 .

[3] Pieter A. Vermeer,et al. An accuracy condition for consolidation by finite elements , 1981 .

[4] Ernst Rank,et al. On the importance of the discrete maximum principle in transient analysis using finite element methods , 1983 .

[5] H. Thomas,et al. A comparison of field measured and numerically simulated seasonal ground movement in unsaturated clay , 1995 .

[6] H. R. Thomas,et al. On the use of a standard quadratic element in the analysis of consolidation following external loading , 1986 .

[7] Bernhard A. Schrefler,et al. A staggered finite-element solution for water and gas flow in deforming porous media , 1991 .

[8] Hywel Rhys Thomas,et al. Coupled temperature/capillary potential variations in unsaturated soil , 1991 .

[9] Ranbir S. Sandhu,et al. Numerical performance of some finite element schemes for analysis of seepage in porous elastic media , 1977 .