===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 a 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