A sequential-adaptive strategy in space-time with application to consolidation of porous media
Artikel i vetenskaplig tidskrift, 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

Författare

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 288 146-171

Ämneskategorier

Maskinteknik

DOI

10.1016/j.cma.2014.12.002

Mer information

Skapat

2017-10-07