A New Block-Diagonal Preconditioner for a Class of 3×3 Block Saddle Point Problems

We study the performance of a new block preconditioner for a class of 3 × 3 block saddle point problems which arise from finite-element methods for solving time-dependent Maxwell equations and some other practical problems. We also estimate the lower and upper bounds of eigenvalues of the preconditi...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 19; no. 1
Main Authors Abdolmaleki, Maryam, Karimi, Saeed, Salkuyeh, Davod Khojasteh
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2022
Springer Nature B.V
Subjects
Eigenvalues
Finite element method
Mathematics
Mathematics and Statistics
Maxwell's equations
Saddle points
Upper bounds
65F50
65F10
GMRES
block saddle point
block diagonal
preconditioner
65F08
eigenvalue
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Summary:We study the performance of a new block preconditioner for a class of 3 × 3 block saddle point problems which arise from finite-element methods for solving time-dependent Maxwell equations and some other practical problems. We also estimate the lower and upper bounds of eigenvalues of the preconditioned matrix. Finally, we examine our new preconditioner to accelerate the convergence speed of the GMRES method which shows the effectiveness of the preconditioner.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01973-5