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Volume 51, Issue 1
Cubature Points Based Triangular Spectral Elements: An Accuracy Study

Richard Pasquetti & Francesca Rapetti

DOI: 10.4208/jms.v51n1.18.02

J. Math. Study, 51 (2018), pp. 15-25.

Published online: 2018-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

We investigate the cubature points based triangular spectral element method and provide accuracy results for elliptic problems in non polygonal domains using various isoparametric mappings. The capabilities of the method are here again clearly confirmed.

  • Keywords

Spectral element method, simplicial meshes, cubature points, Fekete points, isoparametric mappings.

  • AMS Subject Headings

65M60, 65M70

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

richard.pasquetti@unice.fr (Richard Pasquetti)

francesca.rapetti@unice.fr (Francesca Rapetti)

  • BibTex
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@Article{JMS-51-15, author = {Pasquetti , Richard and Rapetti , Francesca}, title = {Cubature Points Based Triangular Spectral Elements: An Accuracy Study}, journal = {Journal of Mathematical Study}, year = {2018}, volume = {51}, number = {1}, pages = {15--25}, abstract = {

We investigate the cubature points based triangular spectral element method and provide accuracy results for elliptic problems in non polygonal domains using various isoparametric mappings. The capabilities of the method are here again clearly confirmed.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v51n1.18.02}, url = {http://global-sci.org/intro/article_detail/jms/11313.html} }
TY - JOUR T1 - Cubature Points Based Triangular Spectral Elements: An Accuracy Study AU - Pasquetti , Richard AU - Rapetti , Francesca JO - Journal of Mathematical Study VL - 1 SP - 15 EP - 25 PY - 2018 DA - 2018/04 SN - 51 DO - http://doi.org/10.4208/jms.v51n1.18.02 UR - https://global-sci.org/intro/article_detail/jms/11313.html KW - Spectral element method, simplicial meshes, cubature points, Fekete points, isoparametric mappings. AB -

We investigate the cubature points based triangular spectral element method and provide accuracy results for elliptic problems in non polygonal domains using various isoparametric mappings. The capabilities of the method are here again clearly confirmed.

Richard Pasquetti & Francesca Rapetti. (2019). Cubature Points Based Triangular Spectral Elements: An Accuracy Study. Journal of Mathematical Study. 51 (1). 15-25. doi:10.4208/jms.v51n1.18.02
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