A New Block-Diagonal Preconditioner for a Class of 3 × 3 Block Saddle Point Problems, By Saeed Karimi

Research

Title	A New Block-Diagonal Preconditioner for a Class of 3 × 3 Block Saddle Point Problems
Type	Article
Keywords	3 × 3 block saddle point, GMRES, block diagonal, preconditioner, eigenvalue.
Journal	Mediterranean Journal of Mathematics
DOI	https://doi.org/10.1007/s00009-021-01973-5
Researchers	Saeed Karimi (Second researcher) ,

Abstract

We study the performance of a new block preconditioner for a class of 3 × 3 block saddle point problems which arise from finiteelement 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.