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

• A space-time finite element method for the linear thermo-elasticity problem is outlined. By establishing the appropriate dual problem in space-time. it is possible to establish an 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 estimation

thermo-elasticity

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)