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A new block diagonal preconditioner for a class of $3\times 3$ block saddle point problems (2109.11276v1)
Published 23 Sep 2021 in math.NA and cs.NA
Abstract: We study the performance of a new block preconditioner for a class of $3\times3$ 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. \cred{Finally, we examine our new preconditioner to accelerate the convergence speed of the GMRES method which shows the effectiveness of the preconditioner.