## Abstract

The alternate-block-factorization (ABF) method is a procedure for partially decoupling systems of elliptic partial differential equations by means of a carefully chosen change of variables. By decoupling we mean that the ABF strategy attempts to reduce intra-equation coupling in the system rather than intra-grid coupling for a single elliptic equation in the system. This has the effect of speeding convergence of commonly used iteration schemes, which use the solution of a sequence of linear elliptic PDEs as their main computational step. Algebraically, the change of variables is equivalent to a postconditioning of the original system. The results of using ABF postconditioning on some problems arising from semiconductor device simulation are discussed.

Original language | English (US) |
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Pages (from-to) | 938-954 |

Number of pages | 17 |

Journal | BIT Numerical Mathematics |

Volume | 29 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1989 |

Externally published | Yes |

## Keywords

- AMS subject classification: 65F10
- Semiconductors
- partial differential equations
- simulation

## ASJC Scopus subject areas

- Software
- Computational Mathematics
- Applied Mathematics
- Computer Networks and Communications