TY - GEN
T1 - On the formulation of hybrid finite-element and boundary-integral methods for 3D scattering using multi-level fast multipole algorithm
AU - Sheng, X. Q.
AU - Jin, J. M.
AU - Song, J. M.
AU - Lu, C. C.
AU - Chew, W. C.
PY - 1998
Y1 - 1998
N2 - The hybrid finite-element and boundary-integral (FE-BI) method is a powerful numerical technique for computing scattering by inhomogeneous objects. Although the application of edge-based finite elements and the combined field integral equation (CFIE) in the FE-BI method has successfully removed the difficulties of the treatment of dielectric interfaces, sharp conducting edges and corners, spurious solutions, and interior resonance problems inherited in the original FE-BI method using node-based elements and the electric-field integral equation (EFIE) or magnetic field integral equation (MFIE), the FE-BI method still has a bottleneck which is the dense matrix generated by the boundary integral equation (BIE). Our renewed interest in the FE-BI method originated from the recent development of the fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA). Our objective is to apply MLFMA to BIE to completely remove the aforementioned bottleneck for general 3D problems. During the course of pursuing this goal, we have encountered several problems associated with the efficiency and accuracy of the FE-BI method implemented using the edge-based elements and CFIE. This paper reports our study of these problems and the implementation of MLFMA in the FE-BI method.
AB - The hybrid finite-element and boundary-integral (FE-BI) method is a powerful numerical technique for computing scattering by inhomogeneous objects. Although the application of edge-based finite elements and the combined field integral equation (CFIE) in the FE-BI method has successfully removed the difficulties of the treatment of dielectric interfaces, sharp conducting edges and corners, spurious solutions, and interior resonance problems inherited in the original FE-BI method using node-based elements and the electric-field integral equation (EFIE) or magnetic field integral equation (MFIE), the FE-BI method still has a bottleneck which is the dense matrix generated by the boundary integral equation (BIE). Our renewed interest in the FE-BI method originated from the recent development of the fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA). Our objective is to apply MLFMA to BIE to completely remove the aforementioned bottleneck for general 3D problems. During the course of pursuing this goal, we have encountered several problems associated with the efficiency and accuracy of the FE-BI method implemented using the edge-based elements and CFIE. This paper reports our study of these problems and the implementation of MLFMA in the FE-BI method.
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U2 - 10.1109/APS.1998.699120
DO - 10.1109/APS.1998.699120
M3 - Conference contribution
AN - SCOPUS:0031637703
SN - 0780344782
SN - 9780780344785
T3 - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
SP - 236
EP - 239
BT - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
T2 - 1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
Y2 - 21 June 1998 through 26 June 1998
ER -