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In this study, a robust and effective preconditioner for the fast method of moments‐based hierarchal electric field integral equation solver is proposed using symmetric near‐field Schur's complement method. In this preconditioner, near‐field blocks are scaled to a diagonal block matrix and these near‐field blocks are replaced with the scaled diagonal block matrix which reduces the near‐field storage memory and the overall matrix–vector product time. Scaled diagonal block matrix is further used as a preconditioner and due to the block diagonal form of the final preconditioner, no additional fill‐ins are introduced in its inverse. The symmetric property of the near‐field blocks is exploited to reduce the preconditioner setup time. Near linear complexity of preconditioner set up and solve times is achieved by near‐field block ordering, using graph bandwidth reduction algorithms and compressing the fill‐in blocks in preconditioner computation. Preconditioner set up time is reduced to half by using the symmetric property and near‐field block ordering. It has been shown using a complexity analysis that the cost of preconditioner construction in terms of computation and memory is linear. Numerical experiments demonstrate an average of 1.5–2.3× speed‐up in the iterative solution time over null‐field‐based preconditioners.

Symmetric near‐field Schur's complement preconditioner for hierarchal electric field integral equation solver