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UID:submissions.pasc-conference.org_PASC23_sess110_pos155@linklings.com
SUMMARY:P43 - Multilevel and Domain-Decomposition Solution Strategies for 
 Solving Large-Scale Phase-Field Fracture Problems
DESCRIPTION:Poster\n\nHardik Kothari (Università della Svizzera italiana);
  Alena Kopanicakova (Brown University, Università della Svizzera italiana)
 ; Patrick Zulian (Università della Svizzera italiana, UniDistance Suisse);
  Maria Nestola (Università della Svizzera italiana); Edoardo Pezzulli and 
 Thomas Driesner (ETH Zurich); and Rolf Krause (Università della Svizzera i
 taliana, UniDistance Suisse)\n\nThe phase-field approach for fracture prop
 agation is a state-of-the-art technique for simulating crack initiation, p
 ropagation, and coalescence. In this approach, a damage field, called the 
 phase field, is introduced that characterizes the material state from inta
 ct to fully broken. Even though the phase field is a robust tool for model
 ing crack propagation, it gives rise to a strongly nonlinear system of equ
 ations. Due to this reason, it becomes essential to develop efficient and 
 robust solution methods for solving the phase-field problem. To this aim, 
 we propose to solve the nonlinear problems arising from the discretization
  of the phase-field fracture formulation using domain decomposition and mu
 ltilevel methods. We employ the Recursive Multilevel Trust Region Method (
 RMTR) method in the context of the multilevel method, while we employ the 
 Schwarz preconditioned inexact Newton method (SPIN) in the context of the 
 domain decomposition method. In this work, we will present the required mo
 difications in both solution strategies for solving the fracture problems.
  We will show the convergence properties and the performance of the RMTR a
 nd SPIN methods using several benchmark problems from the field of fractur
 e mechanics where we will show that our methods outperforms widely used al
 ternate minimization method.\n\nSession Chair: Jibonananda Sanyal (Nationa
 l Renewable Energy Laboratory)
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