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

Adaptivity

FEM

Författare

Kenneth Runesson

Institutionen för hållfasthetslära

Fredrik Larsson

Institutionen för hållfasthetslära

Peter F G Hansbo

Institutionen för hållfasthetslära

Developments in Theoretical Geomechanics - The John Booker Memorial Symposium

193-213

Ämneskategorier

Maskinteknik

Samhällsbyggnadsteknik

ISBN

90-5809-158-9