New curl-conforming hierarchical vector basis functions are developed for triangular-prism cells. These bases are constructed by taking the product of base vectors with scalar orthogonal polynomials and are shown to maintain linear independence as their polynomial order is increased. The procedure for constructing these basis functions is described and specific functions are tabulated for orders up to 6.5. These bases are compatible with recently-proposed hierarchical bases for tetrahedral and hexahedral cells and will maintain tangential continuity with those bases if used in a mesh containing multiple cell shapes
This data set contains H1-conforming basis functions for triangular and tetrahedral finite elements....
New hierarchical basis functions are proposed for triangular cells with corner singularities. These ...
A systematic approach to obtaining mixed-order curl-conforming basis functions for a triangular pris...
New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahed...
International audienceA new family of hierarchical vector bases is proposed for triangles and tetrah...
A new family of hierarchical vector basis functions is proposed that accurately models fields near c...
A new family of hierarchical vector basis functions is proposed that accurately models fields near c...
A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions...
Recently proposed hierarchical divergence-conforming Nedelec elements for volumetric cells are revie...
Advanced applications of the finite element method use hybrid meshes of differently shaped elements ...
New hierarchical vector elements of arbitrary polynomial order were recently derived in [(1) R. D. G...
A new family of hierarchical divergence-conforming vector bases is proposed for tetrahedral, prism a...
A new family of hierarchical basis functions is proposed for triangular cells. These functions incor...
Hierarchical curl- and divergence-conforming vector bases for two- and three-dimensional cells were ...
A new set of H(curl) -conforming hierarchical basis functions for tetrahedral meshes is presented. C...
This data set contains H1-conforming basis functions for triangular and tetrahedral finite elements....
New hierarchical basis functions are proposed for triangular cells with corner singularities. These ...
A systematic approach to obtaining mixed-order curl-conforming basis functions for a triangular pris...
New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahed...
International audienceA new family of hierarchical vector bases is proposed for triangles and tetrah...
A new family of hierarchical vector basis functions is proposed that accurately models fields near c...
A new family of hierarchical vector basis functions is proposed that accurately models fields near c...
A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions...
Recently proposed hierarchical divergence-conforming Nedelec elements for volumetric cells are revie...
Advanced applications of the finite element method use hybrid meshes of differently shaped elements ...
New hierarchical vector elements of arbitrary polynomial order were recently derived in [(1) R. D. G...
A new family of hierarchical divergence-conforming vector bases is proposed for tetrahedral, prism a...
A new family of hierarchical basis functions is proposed for triangular cells. These functions incor...
Hierarchical curl- and divergence-conforming vector bases for two- and three-dimensional cells were ...
A new set of H(curl) -conforming hierarchical basis functions for tetrahedral meshes is presented. C...
This data set contains H1-conforming basis functions for triangular and tetrahedral finite elements....
New hierarchical basis functions are proposed for triangular cells with corner singularities. These ...
A systematic approach to obtaining mixed-order curl-conforming basis functions for a triangular pris...