Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Near-Field Schur Complement Preconditioner for Hierarchal
  Electric Field Integral Equation Solve   In this paper, a robust and effective preconditioner for the fast Method of
Moments(MoM) based Hierarchal Electric Field Integral Equation(EFIE) 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 1.5-2.3x speed-up in the
iterative solution time over Null-Field based preconditioners.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol