Space-time finite elements and adaptive strategy for the coupled poroelasticity problem

被引:0
作者
Runesson, K [1 ]
Larsson, F [1 ]
Hansbo, P [1 ]
机构
[1] Chalmers, Dept Solid Mech, S-41296 Gothenburg, Sweden
来源
DEVELOPMENTS IN THEORETICAL GEOMECHANICS | 2000年
关键词
adaptivity; error estimate; fem; poroelasticity;
D O I
暂无
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
A space-time finite element method for the pore-elasticity problem is outlined. By establishing the appropriate dual problem in space-time, it is possible to establish an exact a posteriori error representation formula based on residuals and the dual solution. In particular, we focus on the error generation in time. An adaptive strategy in the time-domain is proposed, and its performance is investigated with the aid of a numerical example in 2D. In particular, the excellent precision of the error estimate, in terms of the effectivity index being close to unity, is noted.
引用
收藏
页码:193 / 213
页数:21
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