Oevermann, M. and Klein, R.
(2006)
*A cartesian grid finite volume method for the solution of
the Poisson equation with variable coefficients and embedded interfaces.*
Journal of Computational Physics, 219
(2).
749-769 .

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science?_ob=ArticleUR...

## Abstract

We present a finite volume method for the solution of the two-dimensional elliptic equation @?.(@b(x)@?u(x))=f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz functions on Cartesian grids for the solution u(x) resulting in a compact nine-point stencil. The resulting linear problem has been solved with a standard multigrid solver. Singularities associated with vanishing partial volumes of intersected grid cells or the dual bilinear ansatz itself are removed by a two-step asymptotic approach. The method achieves second order of accuracy in the L^~ and L^2 norm.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Elliptic equations; Finite volume methods; Embedded interface; Variable and discontinuous coefficients; Discontinuous solution |

Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |

ID Code: | 547 |

Deposited By: | Ulrike Eickers |

Deposited On: | 16 Jul 2009 14:02 |

Last Modified: | 29 Jul 2010 11:24 |

Repository Staff Only: item control page