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

• Published in: Mediterranean journal of mathematics Vol. 19; no. 1
• Main Authors: Abdolmaleki, Maryam, Karimi, Saeed, Salkuyeh, Davod Khojasteh
• Format: Journal Article
• Language: English
• 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

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...