### Abstract

Original language | English |
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Title of host publication | NMCM 2002 |

Subtitle of host publication | an Euro Conference on Numerical Mathematics and Computational Mechanics, July 15-19, 2002, University of Miskolc, Miskolc, Hungary |

Place of Publication | Miskolc, Hungary |

Publisher | University of Miskolc |

Number of pages | 12 |

Publication status | Published - 15 Jul 2002 |

Event | Euro Conference on Numerical Mathematics and Computational Mechanics, NMCM 2002 - University of Miskolc, Miskolc, Hungary Duration: 15 Jul 2002 → 19 Jul 2002 |

### Conference

Conference | Euro Conference on Numerical Mathematics and Computational Mechanics, NMCM 2002 |
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Abbreviated title | NMCM |

Country | Hungary |

City | Miskolc |

Period | 15/07/02 → 19/07/02 |

### Fingerprint

### Keywords

- METIS-207964
- EWI-16262
- IR-74769

### Cite this

*NMCM 2002: an Euro Conference on Numerical Mathematics and Computational Mechanics, July 15-19, 2002, University of Miskolc, Miskolc, Hungary*Miskolc, Hungary: University of Miskolc.

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*NMCM 2002: an Euro Conference on Numerical Mathematics and Computational Mechanics, July 15-19, 2002, University of Miskolc, Miskolc, Hungary .*University of Miskolc, Miskolc, Hungary, Euro Conference on Numerical Mathematics and Computational Mechanics, NMCM 2002, Miskolc, Hungary, 15/07/02.

**Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains.** / Tomar, S.K.; Dutt, P.; Ratish Kumar, B.V.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains

AU - Tomar, S.K.

AU - Dutt, P.

AU - Ratish Kumar, B.V.

N1 - The financial support provided by the CSIR-India (Project no. 9/92(123)/95-EMR-I) and ARDB-India (Project no. 95255) for this work is gratefully acknowledged.

PY - 2002/7/15

Y1 - 2002/7/15

N2 - Spectral element methods (SEM) exhibit exponential convergence only when the solution of the problem is sufficiently regular. However, the solution develops a singularity when the boundary of the domain is non-smooth. The accuracy of the SEM is then deteriorated and they offer no advantage over low order methods. Such problems frequently occur in many important physical applications, for example in structural mechanics. A new h-p spectral element method is presented which resolves this form of singularity and gives asymptotically faster results than conventional methods, while retaining the same order of convergence. Moreover, the computational algorithm is devised to harness the potential of widely available parallel computers.

AB - Spectral element methods (SEM) exhibit exponential convergence only when the solution of the problem is sufficiently regular. However, the solution develops a singularity when the boundary of the domain is non-smooth. The accuracy of the SEM is then deteriorated and they offer no advantage over low order methods. Such problems frequently occur in many important physical applications, for example in structural mechanics. A new h-p spectral element method is presented which resolves this form of singularity and gives asymptotically faster results than conventional methods, while retaining the same order of convergence. Moreover, the computational algorithm is devised to harness the potential of widely available parallel computers.

KW - METIS-207964

KW - EWI-16262

KW - IR-74769

M3 - Conference contribution

BT - NMCM 2002

PB - University of Miskolc

CY - Miskolc, Hungary

ER -