Application of the Characteristic Basis Function Method Using CUDA

Algorithm 1

Pseudocode for the application.

;prepare data

⋮

;generate matrix blocks on the diagonal

for each geometry block:

  calculate extended coupling sub-matrix 𝚉𝙴_𝚔𝚔

  calculate extended induced currents 𝙹𝙴_𝚔

  obtain 𝙹_𝚔  by trimming 𝙹𝙴_𝚔 (trim induced currents not on standard block 𝚔)

  apply SVD to 𝙹_𝚔, obtain 𝚄_𝚔  and singular values

  apply threshold to orthogonal vectors of 𝚄_𝚔

  trim extended coupling sub-matrix 𝚉𝙴_𝚔𝚔  into  standard coupling sub-matrix 𝚉_𝚔𝚔

  calculate reduced sub-matrix 𝚉^′_𝚔𝚔

⋮

;generate matrix blocks not on the diagonal

for each coupling matrix block not on diagonal:

  calculate standard coupling sub-matrix 𝚉_𝚔𝚕

  calculate reduced sub-matrix 𝚉^′_𝚔𝚕