An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems

An adapted deflation preconditioner is employed to accelerate the solution of linear systems resulting from discretization fracture mechanics problems with well-conditioned extended/generalized finite elements. The space typically used for elasticity enriched additional vectors, accounting enrichment functions used, thus effectively removing low frequency components error. To further improve performance, combined, in a multiplicative way, block-Jacobi preconditioner, which removes high error as well dependencies introduced by enrichment. scheme tested on series non-planar crack propagation and compared alternative solvers terms performance.