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 - <p style="text-align: justify;">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.</p>