### Abstract

A collocation H-1 Galerkin method is defined for some elliptic boundary value problems on a rectangle. The method uses tensor products of discontinuous piecewise polynomial spaces and collocation based on Jacobi points with weight function c2 (l-x)2. Optimal order of L2 rates of convergence is established for the approximation solution. A numerical example which confirms these results is presented.

Original language | English |
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Pages (from-to) | 417-426 |

Number of pages | 10 |

Journal | Mathematics of Computation |

Volume | 42 |

Issue number | 166 |

DOIs | |

Publication status | Published - 1984 |

Externally published | Yes |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

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## Cite this

Nakao, M. (1984). A collocation h-1 galerkin method for some elliptic equations.

*Mathematics of Computation*,*42*(166), 417-426. https://doi.org/10.1090/S0025-5718-1984-0736444-7