Efficient Compression of 3-D Eddy Current Problems With Integral Formulations

For the calculation of eddy current problems using integral formulations, compression techniques are needed due to the fully populated system matrix. As the system matrix is ill-conditioned, even low compression leads to very high errors and is in most cases unsolvable with classical iterative solvers like CG or GMRES. By using regularization techniques, the condition number is enormously reduced, so that high compression rates can be achieved. In this paper the efficiency of the Block Wavelet Compression combined with the Tikhonov regularization is shown by 3-D eddy current problems. The use of the so called Block Wavelet Compression is presented for the first time for eddy current problems using integral formulations.