Space-time finite elements and adaptive strategy for the coupled poroelasticity problem
Paper in proceedings, 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

Author

Kenneth Runesson

Department of Solid Mechanics

Fredrik Larsson

Department of Solid Mechanics

Peter F G Hansbo

Department of Solid Mechanics

Developments in Theoretical Geomechanics - The John Booker Memorial Symposium

193-213

Subject Categories

Mechanical Engineering

Civil Engineering

ISBN

90-5809-158-9

More information

Created

10/7/2017