TY - GEN
T1 - Singular and hierarchical vector functions for multiscale problems
AU - Graglia, Roberto D.
AU - Petrini, Paolo
AU - Matekovits, Ladislau
AU - Peterson, Andrew F.
PY - 2016
Y1 - 2016
N2 - A number of new hierarchical and singular (scalar and vector) basis functions for field representation in two- and three-dimensional cells have been recently developed and discussed in a set of different papers, and in a new book. The hierarchical functions are designed for adaptive p-refinement on domain meshed with differently shaped cells. The functions guarantee built-in continuity on the common boundaries of adjacent cells for the tangent and normal vector component in the curl- and in the divergence-conforming case, respectively. The polynomial order of the functions may vary from cell to cell to facilitate application to multiscale problems, and to permit one to use cells of large size. At the oral presentation we will review these functions and their key features, and present new results obtained with their use.
AB - A number of new hierarchical and singular (scalar and vector) basis functions for field representation in two- and three-dimensional cells have been recently developed and discussed in a set of different papers, and in a new book. The hierarchical functions are designed for adaptive p-refinement on domain meshed with differently shaped cells. The functions guarantee built-in continuity on the common boundaries of adjacent cells for the tangent and normal vector component in the curl- and in the divergence-conforming case, respectively. The polynomial order of the functions may vary from cell to cell to facilitate application to multiscale problems, and to permit one to use cells of large size. At the oral presentation we will review these functions and their key features, and present new results obtained with their use.
KW - Finite element methods
KW - Moment methods
KW - Basis functions
KW - Hierarchical basis functions
KW - Singular basis functions
UR - http://www.scopus.com/inward/record.url?scp=84997386070&partnerID=8YFLogxK
U2 - 10.1109/APS.2016.7695828
DO - 10.1109/APS.2016.7695828
M3 - Conference proceeding contribution
AN - SCOPUS:84997386070
SN - 9781509028870
SP - 239
EP - 240
BT - 2016 IEEE Antennas and Propagation Society International Symposium
PB - Institute of Electrical and Electronics Engineers (IEEE)
CY - Piscataway, NJ
T2 - 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
Y2 - 26 June 2016 through 1 July 2016
ER -