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Volume 53, Issue 3
Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings

Richard Pasquetti

DOI: 10.4208/jms.v53n3.20.01

J. Math. Study, 53 (2020), pp. 237-246.

Published online: 2020-05

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  • Abstract

Using the cubature points based triangular spectral element method and isoparametric mappings, we provide accuracy results for elliptic problems in non polygonal domains. Two regimes of convergence, associated to the bulk and to the boundary of the computational domain are clearly discerned and an efficient way to define the isoparametric mapping is proposed.

  • Keywords

Spectral element method, triangular elements, curved domains, isoparametric mappings, cubature points, diagonal mass matrix.

  • AMS Subject Headings

65N30, 65N35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

richard.pasquetti@unice.fr (Richard Pasquetti)

  • BibTex
  • RIS
  • TXT
@Article{JMS-53-237, author = {Pasquetti , Richard}, title = {Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings}, journal = {Journal of Mathematical Study}, year = {2020}, volume = {53}, number = {3}, pages = {237--246}, abstract = {

Using the cubature points based triangular spectral element method and isoparametric mappings, we provide accuracy results for elliptic problems in non polygonal domains. Two regimes of convergence, associated to the bulk and to the boundary of the computational domain are clearly discerned and an efficient way to define the isoparametric mapping is proposed.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n3.20.01}, url = {http://global-sci.org/intro/article_detail/jms/16918.html} }
TY - JOUR T1 - Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings AU - Pasquetti , Richard JO - Journal of Mathematical Study VL - 3 SP - 237 EP - 246 PY - 2020 DA - 2020/05 SN - 53 DO - http://doi.org/10.4208/jms.v53n3.20.01 UR - https://global-sci.org/intro/article_detail/jms/16918.html KW - Spectral element method, triangular elements, curved domains, isoparametric mappings, cubature points, diagonal mass matrix. AB -

Using the cubature points based triangular spectral element method and isoparametric mappings, we provide accuracy results for elliptic problems in non polygonal domains. Two regimes of convergence, associated to the bulk and to the boundary of the computational domain are clearly discerned and an efficient way to define the isoparametric mapping is proposed.

Richard Pasquetti. (2020). Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings. Journal of Mathematical Study. 53 (3). 237-246. doi:10.4208/jms.v53n3.20.01
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