Convergence Acceleration of Iterative Solvers for the Finite Element Analysis Using the Implicit and Explicit Error Correction Methods

Our previous paper proposed two frameworks for iterative linear solvers: the implicit and explicit error correction methods. In this paper, we discuss the convergence property of these methods. A formula we derive explains the reasonability of the auxiliary matrix that Kameari suggested for thin elements. Additionally, an enhanced auxiliary matrix is devised for thin elements, in which the material property changes discontinuously.