Approximation of the inverse of the Hodge matrix via sparsity pattern

作者：Moura A S^*; Saldanha R R; Silva E J; Li**oa A C; Facco W G

来源：International Journal of Numerical Modelling: Electronic Networks, Devices and Fields , 2015, 28(2): 213-221.

DOI：10.1002/jnm.1999

• block matrix inversion
• differential forms
• Hodge matrix
• Maxwell's equations
• sparsification wave propagation

The solution of electromagnetic wave propagation problems in time domain using an explicit method requires the inversion of Hodge matrices. This paper proposes an approximation to obtain a sparse inverse via the sparsity pattern of the original matrix. It is also shown the application of the algorithm Cuthill-McKee on Hodge matrices in order to reduce their bandwidth and thus speed up the method of recursive sparsification.

• 出版日期2015-4