Fast Method for Accelerating Convergence of Iterative Partial Differential Equation Solvers by Changing System Matrix to Laplacian Counterpart

In this work, we find that the matrix representing the curl-curl operator in a partial differential equation solver of Maxwell's equations can be analytically decomposed into a gradient divergence operator and a Laplacian, both of which can be constructed from the mesh information without any n...

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Bibliographic Details
Published in:	IEEE transactions on antennas and propagation Vol. 70; no. 2; pp. 1187 - 1197
Main Authors:	Xue, Li, Jiao, Dan
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.02.2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Computational efficiency Computing costs Conductors Convergence Divergence Fast convergence fast method finite-difference method finite-element method frequency domain Frequency-domain analysis Helmholtz decomposition Iterative methods Iterative solution iterative solver Laplace equations Mathematical analysis Matrix decomposition Maxwell equations Operators (mathematics) partial differential equation method Partial differential equations Solvers Sparse matrices
ISSN:	0018-926X, 1558-2221
Online Access:	Get full text
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