TY - JOUR
T1 - THEOREM ON THE MOMENT METHODS.
AU - Djordjevic, Antonije R.
AU - Sarkar, Tapan K.
PY - 1987
Y1 - 1987
N2 - The inner product involved in the moment methods is usually an integral, which is evaluated numerically by summing the integrand at certain discrete points. In connection with this inner product, a theorem is proved, which states that the overall number of points involved in the integration must not be smaller than the number of unknowns involved in the moment method. If these two numbers are equal, a point-matching solution is obtained, irrespective of whether one has started with Galerkin's method or the least squares method. If the number of points involved in the integration is larger than the number of the unknowns, a weighted point-matching solution is obtained.
AB - The inner product involved in the moment methods is usually an integral, which is evaluated numerically by summing the integrand at certain discrete points. In connection with this inner product, a theorem is proved, which states that the overall number of points involved in the integration must not be smaller than the number of unknowns involved in the moment method. If these two numbers are equal, a point-matching solution is obtained, irrespective of whether one has started with Galerkin's method or the least squares method. If the number of points involved in the integration is larger than the number of the unknowns, a weighted point-matching solution is obtained.
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U2 - 10.1109/tap.1987.1144097
DO - 10.1109/tap.1987.1144097
M3 - Article
AN - SCOPUS:0023313452
SN - 0018-926X
VL - AP-35
SP - 353
EP - 355
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 3
ER -