Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Xingding Chen,Beijing Technology And Business University
Inviter:	Professor Chensong Zhang
Title:	Effective domain decomposition preconditioners for elastic crack propagations based on XFEM
Language:	Chinese
Time & Venue:	2023.09.07 19:30-21:00 Tencent Meeting: 948-550-838
Abstract:	he extended finite element method (XFEM) is a powerful technique for solving fracture problems with discontinuities, singularities and localized deformations. However, these enrichment functions increase, drastically, the condition number of the stiffness matrix. In this talk, we construct effective domain decomposition preconditioners for elastic crack propagations based on XFEM. A special domain decomposition strategy is proposed. To accelerate the convergence of the Krylov subspace method, the initial guess is built from the solution of the previous system with a local modification in the crack tip subspace. The efficiency of the proposed algorithms applied to problems with several types of cracks are validated by numerical experiments.