**About this Abstract** |

**Meeting** |
**2018 TMS Annual Meeting & Exhibition
** |

**Symposium
** |
**Algorithm Development in Materials Science and Engineering
** |

**Presentation Title** |
Computational Performance of Phase Field Calculations using a Matrix-free (Sum-Factorization) Finite Element Method |

**Author(s)** |
Stephen DeWitt, Katsuyo Thornton, Shiva Rudraraju |

**On-Site Speaker (Planned)** |
Stephen DeWitt |

**Abstract Scope** |
Although phase field simulations have traditionally been the domain of finite difference and spectral methods, finite element methods have received increased attention in recent years. In this presentation, we discuss the numerical performance of PRISMS-PF, a general-purpose open-source finite-element phase field modeling code, which utilizes the deal.ii finite element library’s matrix-free finite element capabilities. In contrast to standard approaches, which assemble a sparse matrix, a cell-based strategy called sum-factorization is used. In this approach, no global matrix is stored, and the discrete differential operator is instead re-computed during the local matrix operation for each element. This approach has been previously shown to yield performance improvements over traditional approaches for certain applications. For standard phase field problems, we compare the performance of PRISMS-PF and a single-purpose finite difference code. For uniform meshes, the performance of the two codes is comparable, however PRISMS-PF with adaptive meshing enabled outperforms the finite difference code. |

**Proceedings Inclusion?** |
Planned: Supplemental Proceedings volume |