@Article{CiCP-11-1697, author = {}, title = {Parareal in Time Simulation of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {5}, pages = {1697--1717}, abstract = {

In this paper, a reduced morphological transformation model with spatially dependent composition and elastic modulus is considered. The parareal in time algorithm introduced by Lions et al. is developed for longer-time simulation. The fine solver is based on a second-order scheme in reciprocal space, and the coarse solver is based on a multi-model backward Euler scheme, which is fast and less expensive. Numerical simulations concerning the composition with a random noise and a discontinuous curve are performed. Some microstructure characteristics at very low temperature are obtained by a variable temperature technique. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110310.090911a}, url = {http://global-sci.org/intro/article_detail/cicp/7430.html} }