## GEM32

swMATH ID: | 18613 |

Software Authors: | Blaheta, Radim; Jakl, Ondřej; Starý, Jiří |

Description: | Library of parallel PCG solvers for problems of geomechanics. The paper describes two ways of parallelization, based on the displacement decomposition and domain decomposition, of the preconditioned conjugate gradient (PCG) method, which is used for the construction of solvers of the GEM32 finite element package. The crucial points of the algorithms, especially the preconditioning operation, are exposed. The second part of the paper reports the benefits of the parallelization for the solution of some real problems, including an example of large scale mathematical modelling in geomechanics. |

Homepage: | http://emis.ams.org/journals/AMUC/_contributed/algo2000/blajast.pdf |

Keywords: | preconditioned conjugate gradient method; parallelization; displacement decomposition; domain decomposition; incomplete factorization; Schwarz methods; large scale computations; GEM32 finite element package; geomechanics |

Related Software: | PVM |

Cited in: | 2 Publications |

### Cited by 4 Authors

2 | Blaheta, Radim |

2 | Jakl, Ondřej |

2 | Starý, Jiří |

1 | Byczanski, Petr |

### Cited in 1 Serial

1 | Mathematics and Computers in Simulation |

### Cited in 3 Fields

2 | Numerical analysis (65-XX) |

2 | Mechanics of deformable solids (74-XX) |

1 | Partial differential equations (35-XX) |