Matrix-free multigrid solvers for phase-field fracture problems

@article{Jodlbauer2020MatrixfreeMS,
  title={Matrix-free multigrid solvers for phase-field fracture problems},
  author={Daniel Jodlbauer and Ulrich Langer and Thomas Wick},
  journal={Computer Methods in Applied Mechanics and Engineering},
  year={2020}
}
  • D. Jodlbauer, U. Langer, T. Wick
  • Published 21 February 2019
  • Computer Science, Mathematics
  • Computer Methods in Applied Mechanics and Engineering
In this work, we present a framework for the matrix-free solution to a monolithic quasi-static phase-field fracture model with geometric multigrid methods. Using a standard matrix based approach within the Finite Element Method requires lots of memory, which eventually becomes a serious bottleneck. A matrix-free approach overcomes this problems and greatly reduces the amount of required memory, allowing to solve larger problems on available hardware. One key challenge is concerned with the… 
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Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have
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