Abstract
A fast direct solver that bypasses the need of a numerical inversion and factorization is developed to reduce the computational cost of a volume integral equation (VIE) based analysis of electromagnetic problems. The explicit inverse is achieved by analytically converting the inverse of the VIE system matrix to the sum of a few matrix-matrix multiplications. The matrix solution thus becomes a few matrix-vector multiplications, the computation of which is accelerated by the ℋ2-matrix based fast algorithms, achieving linear CPU cost and memory consumption across a range of electric sizes. The proposed method applies to inhomogeneous materials having a very large contrast ratio. Numerical results demonstrate its superior performance compared to conventional VIE solvers.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
