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Volume 8, Issue 4
Barycentric Coordinate Based Mixed Finite Elements on Quadrilateral/Hexahedral Mesh

R. A. Klausen, S. S. Mundal & H. K. Dahle

Int. J. Numer. Anal. Mod., 8 (2011), pp. 584-598.

Published online: 2011-08

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  • Abstract

This paper presents barycentric coordinate interpolation reformulated as bilinear and trilinear mixed finite elements on quadrilateral and hexahedral meshes. The new finite element space is a subspace of H(div). Barycentric coordinate interpolations of discrete vector field with node values are also known as the corner velocity interpolation. The benefit of this velocity interpolation is that it contains the constant vector fields (uniform flow). We provide edge based basis functions ensuring the same interpolation, and show how these basis functions perform as separate velocity elements.

  • Keywords

Barycentric coordinate, corner velocity interpolation, mixed finite elements.

  • AMS Subject Headings

76S05, 74Sxx, 81T80

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-584, author = {Klausen , R. A.Mundal , S. S. and Dahle , H. K.}, title = {Barycentric Coordinate Based Mixed Finite Elements on Quadrilateral/Hexahedral Mesh}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {4}, pages = {584--598}, abstract = {

This paper presents barycentric coordinate interpolation reformulated as bilinear and trilinear mixed finite elements on quadrilateral and hexahedral meshes. The new finite element space is a subspace of H(div). Barycentric coordinate interpolations of discrete vector field with node values are also known as the corner velocity interpolation. The benefit of this velocity interpolation is that it contains the constant vector fields (uniform flow). We provide edge based basis functions ensuring the same interpolation, and show how these basis functions perform as separate velocity elements.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/702.html} }
TY - JOUR T1 - Barycentric Coordinate Based Mixed Finite Elements on Quadrilateral/Hexahedral Mesh AU - Klausen , R. A. AU - Mundal , S. S. AU - Dahle , H. K. JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 584 EP - 598 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/702.html KW - Barycentric coordinate, corner velocity interpolation, mixed finite elements. AB -

This paper presents barycentric coordinate interpolation reformulated as bilinear and trilinear mixed finite elements on quadrilateral and hexahedral meshes. The new finite element space is a subspace of H(div). Barycentric coordinate interpolations of discrete vector field with node values are also known as the corner velocity interpolation. The benefit of this velocity interpolation is that it contains the constant vector fields (uniform flow). We provide edge based basis functions ensuring the same interpolation, and show how these basis functions perform as separate velocity elements.

Klausen , R. A.Mundal , S. S. and Dahle , H. K.. (2011). Barycentric Coordinate Based Mixed Finite Elements on Quadrilateral/Hexahedral Mesh. International Journal of Numerical Analysis and Modeling. 8 (4). 584-598. doi:
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