Solution of Electrically Large Problems With Multilevel Characteristic Basis Functions

Integral Equation Analysis with Characteristic Basis Functions

“…Hence, several numerical approximations must be carried out. The first one consist on sampling the PWS; guidelines to choose the number of plane-waves depending on the electrical size of the block are given in [28].…”

“…The working frequency is 1030 MHz so that the geometry is discretized into 139, 762 RWGs. A two level CBFM is used to efficiently compute the matrix in (28). The first level blocks are shown in Figure 6.…”

Fast Analysis of Periodic Antennas and Metamaterial-Based Waveguides

“…The multilevel version of the CBFM (MLCBFM) naturally extends the range of applicability of the monolevel CBFM discussed thus far; it enables one to solve larger problems in almost the same amount of time and for a similar RAM usage [20,27].…”

“…In conclusion, the number of unknowns may be significantly reduced, but the speed advantage becomes only apparent for electrically large problems [20]. The numerical results section includes the challenging problem of a large array of disjoint subarrays, where RWGs are employed at the lowest level, after which a set of CBFs is employed per antenna element at level 1, and where a set of CBFs is employed per subarray at level 2.…”

Fast direct solution of characteristic basis function method using ACA-based LU decomposition

“…The characteristic basis function method (CBFM) [4,7] can accelerate direct solution of the conventional MoM. The CBFM begins by dividing the geometry of the scatterer into several equal-sized blocks.…”