A sequential-adaptive strategy in space-time with application to consolidation of porous media
Journal article, 2015
Issues related to space-time adaptivity for a class of nonlinear and time-dependent problems are discussed. The dG(k)-methods are adopted for the time integration, and the a posteriori error control is based on the appropriate dual problem in space-time. One key ingredient is to decouple the error generation in space and time with a hierarchical decomposition of the discrete space of dual solutions. The main idea put forward in the paper is to increase the computational efficiency of the adaptive scheme by avoiding recursive adaptations of the whole time-mesh; rather, the space-mesh and the time-step defining each finite space-time slab are defined in a truly sequential fashion. The proposed adaptive strategy is applied to the coupled consolidation problem in geomechanics involving large deformations. Its performance is investigated with the aid of a numerical example in 2D.
ELASTOPLASTIC
Interdisciplinary
BOUNDS
Applications
Error estimate
PARABOLIC-PROBLEMS
FUNCTIONAL OUTPUTS
P107
Mathematics
V24
Engineering
COMPUTATIONS
THERMOELASTICITY
P453
CONSOLIDATION
Mechanics
QUANTITIES
OMECHANICS
Finite element analysis
Porous media
ORIENTED ERROR ESTIMATION
OMECHANICS
FINITE-ELEMENTS
Multidisciplinary
Adaptivity
V3
Author
Fredrik Larsson
Chalmers, Applied Mechanics, Material and Computational Mechanics
Kenneth Runesson
Chalmers, Applied Mechanics, Material and Computational Mechanics
Computer Methods in Applied Mechanics and Engineering
0045-7825 (ISSN)
Vol. 288 146-171Subject Categories (SSIF 2011)
Mechanical Engineering
DOI
10.1016/j.cma.2014.12.002