A Recursive Sparsification of the Inverse Hodge Matrix

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

来源：IEEE Transactions on Magnetics, 2012, 48(2): 611-614.

DOI：10.1109/TMAG.2011.2175442

• Block matrix inversion
• differential forms
• hodge matrix
• sparsification

When applying the theory of differential forms to solve wave propagation problems in time domain, we must solve at each time step a sparse linear system defined by the insertion of constitutive laws via the mass matrices. In this paper, we describe a recursive technique to efficiently calculate the approximated inverse of Hodge matrix. The fundamental idea is to recursively decompose the mass matrix in to a decreasing size sequence of matrices using block matrix inversion. During the recomposition process, the matrix is sparsified. Numerical results are presented to validate our approach.

• 出版日期2012-2