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

Kenneth Runesson (Institutionen för hållfasthetslära) ; Fredrik Larsson (Institutionen för hållfasthetslära) ; Peter Hansbo (Institutionen för hållfasthetslära)
Developments in Theoretical Geomechanics - The John Booker Memorial Symposium p. 193-213. (2000)
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Adaptivity, Error estimate, FEM, Poroelasticity

Denna post skapades 2006-09-19. Senast ändrad 2015-06-12.
CPL Pubid: 3793


Institutioner (Chalmers)

Institutionen för hållfasthetslära (1900-2003)


Teknisk mekanik

Chalmers infrastruktur