TY - GEN

T1 - Fast direct solver based on the generalized equivalence integral equation

AU - Brick, Yaniv

AU - Lomakin, Vitaliy

AU - Boag, Amir

PY - 2013/9/4

Y1 - 2013/9/4

N2 - A novel fast direct solver using the recently proposed generalized equivalence integral equation (GEIE) is presented. By eliminating the line-of-sight between distant subdomains of convex geometries, the GEIE essentially reduces the problems' dimensionality, thus producing highly compressible impedance matrices. The compression is facilitated using a multilevel non-uniform grid (NG) scheme, tailored to the GEIE. The high compressibility and fast compression sum up to a fast direct solver. The solver is applied to the problem of scattering from an essentially circular cylinder, thus facilitating the construction of a modified Green's function that is needed in the GEIE formulation. For the 2-dimensional (2D) case, compression to O(1) unknowns is achieved.

AB - A novel fast direct solver using the recently proposed generalized equivalence integral equation (GEIE) is presented. By eliminating the line-of-sight between distant subdomains of convex geometries, the GEIE essentially reduces the problems' dimensionality, thus producing highly compressible impedance matrices. The compression is facilitated using a multilevel non-uniform grid (NG) scheme, tailored to the GEIE. The high compressibility and fast compression sum up to a fast direct solver. The solver is applied to the problem of scattering from an essentially circular cylinder, thus facilitating the construction of a modified Green's function that is needed in the GEIE formulation. For the 2-dimensional (2D) case, compression to O(1) unknowns is achieved.

UR - http://www.scopus.com/inward/record.url?scp=84883210940&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84883210940

SN - 9784885522772

T3 - 2013 International Symposium on Electromagnetic Theory, EMTS 2013 - Proceedings

SP - 614

EP - 617

BT - 2013 International Symposium on Electromagnetic Theory, EMTS 2013 - Proceedings

T2 - 2013 21st International Symposium on Electromagnetic Theory, EMTS 2013

Y2 - 20 May 2013 through 24 May 2013

ER -