An Important Application of the Implicit HDG Time-Domain Method Based on Block GMRES for Multiple Right-Hand Sides

To solve the linear systems with multiple right-hand sides (RHS) arising from the implicit hybridizable discontinuous Galerkin time-domain method for electromagnetic simulations, we propose a block version of the generalized minimal residual method with deflated restarting technique. To accelerate c...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters Vol. 24; no. 8; pp. 2382 - 2386
Main Authors: Li, Xing, Xu, Li, Li, Liang, Wang, Hao, Yin, Jun-Hui, Li, Bin
Format: Journal Article
Language:English
Published: New York IEEE 01.08.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Accuracy
Approximation algorithms
Block iterative algorithm
Cholesky factorization
Convergence
Eigenvalues and eigenfunctions
Electric breakdown
implicit hybridizable discontinuous Galerkin time-domain method
Linear systems
Matrix decomposition
Method of moments
multiscale right-hand sides
preconditioner
Restarting
Time domain analysis
Training
Vectors
ISSN:1536-1225, 1548-5757
Online Access:Get full text
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Summary:To solve the linear systems with multiple right-hand sides (RHS) arising from the implicit hybridizable discontinuous Galerkin time-domain method for electromagnetic simulations, we propose a block version of the generalized minimal residual method with deflated restarting technique. To accelerate convergence, two improvements are introduced. First, a better strategy is designed to select initial values for restarting a new round of iterations. Second, a multifrontal block incomplete Cholesky factorization is employed as the preconditioner. Numerical results demonstrate its efficiency in computing multiple RHS problems.
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ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2025.3563984