===affil2:
University of Colorado at Boulder
===firstname:
Chao
===firstname4:

===firstname3:

===lastname2:
Cai
===lastname:
Yang
===firstname5:

===affil6:

===lastname3:

===email:
yangchao@iscas.ac.cn
===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===affil7:

===firstname7:

===postal:
Institute of Software, Chinese Academy of Sciences, China
===firstname6:

===ABSTRACT:
Phase-field modeling has found numerous applications in material sciences. Due to the multi-scale nature, partial differential equations arising in many phase-field models are typically high-order nonlinear parabolic PDEs containing both diffusive and anti-diffusive terms and are often stiff and highly ill-conditioned. In this work, stabilized implicit schemes with an adaptive time-stepping strategy for some typical phase-field problems are investigated. We apply a Newton-Krylov-Schwarz algorithm to solve the nonlinear system of equations arising at each time step. Low-order homogeneous boundary conditions for the overlapping subdomains are imposed in the Schwarz preconditioner to achieve promising convergence result. Numerical tests on an IBM BlueGene supercomputer with thousands of processor cores are provided to show the scalability of the parallel solver.
===affil3:

===lastname5:

===affilother:

===title:
Parallel implicit phase-field solver based on domain decomposition methods
===firstname2:
Xiao-Chuan