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The adaptive cross approximation (ACA) algorithm, when used to accelerate the numerical solution of integral equations for radiation and scattering problems, sometimes suffers from inaccuracies. These inaccuracies occur when the ACA convergence criterion, which is based on an approximation of the residual relative error, is prematurely satisfied. This paper identifies the two sources of this problem...
A regular representation can be determined for a prism with cross section of biaxial symmetry. Then reduce the regular representation and determine the complete basis.The calculation results show that to describe scattering object surface current with this basis function expansion is of fast convergence speed and high accuracy.
In this work we have presented a generalization of the standard method of moments scheme to solve integral equations. Error bounds have been derived to show that the error in using a partition of unity scheme is controlled by the local error in the approximating function. We have, shown two-dimensional examples that it may be possible to take away the burden of modeling the singular nature of the...
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