## Abstract

This study investigates a solver for the quasi-static Biot model for soil consolidation. The scheme consists of an extrapolation scheme in time, com- plemented by a scalable monolithic multigrid method for solving the linear systems resulting after spatial discretisation. The key ingredient for the later is a fixed-stress inexact Uzawa smoother that has been suggested and analysed using local Fourier analysis before [8]. The work at hand investigates the parallel properties of the resulting multigrid solver. For a 3D benchmark problem with roughly 400 million degrees of freedom, scalability is demonstrated in a preliminary study on HazelHen. The presented solver framework should be seen as a prototype, and can be extended and generalized, e.g., to non-linear problems easily.

Original language | English (US) |
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Title of host publication | High Performance Computing in Science and Engineering ' 18 |

Publisher | Springer |

Pages | 427-437 |

Number of pages | 11 |

ISBN (Print) | 9783030133245 |

DOIs | |

State | Published - 2019 |

Externally published | Yes |