### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

### Cite this

*Mathematics of Computation*,

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

**A collocation h-1 galerkin method for some elliptic equations.** / Nakao, Mitsuhiro.

Research output: Contribution to journal › Article

*Mathematics of Computation*, vol. 42, no. 166, pp. 417-426. https://doi.org/10.1090/S0025-5718-1984-0736444-7

}

TY - JOUR

T1 - A collocation h-1 galerkin method for some elliptic equations

AU - Nakao, Mitsuhiro

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84966206571&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966206571&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-1984-0736444-7

DO - 10.1090/S0025-5718-1984-0736444-7

M3 - Article

VL - 42

SP - 417

EP - 426

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 166

ER -