# Space-time finite elements and adaptive strategy for the coupled poroelasticity problem Paper i proceeding, 2000

A space-time finite element method for the poro-elasticity problem is outlined. By establishing the appropriate dual problem in space-time, it is possible to establish an {\em 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.

Poroelasticity

Error estimate

FEM

## Författare

#### Kenneth Runesson

Institutionen för hållfasthetslära

Institutionen för hållfasthetslära

#### Peter F G Hansbo

Institutionen för hållfasthetslära

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