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The deflation technique replaces small eigenvalues of a matrix with zeros to accelerate convergence of iterative linear solvers. In this paper, it is shown that the reason why recently proposed computational frameworks such as the explicit and implicit error corrections and singularity decomposition as well as the conventional AV method improve convergence in linear solvers is clarified from a view...
The multigrid (MG) method is known as the fast linear solver for large scale finite element analyses. In the iterations of MG, the Gauss-Seidel method is usually adopted as the smoother. Recently, Induced Dimension Reduction (IDR)-based methods receive much attention because these methods solve faster than the other strong solvers such as BiCGStab method. In this paper, we present a performance of...
This paper presents the adjoint variable method (AVM) for finite-element (FE) analysis of eddy current problems based on complex variables. In the sensitivity analysis based on FE analysis of time-harmonic eddy current fields, the functions for which sensitivity is evaluated are often real-valued, while unknown variables in the FE analysis are complex. When the AVM is applied to such problems, the...
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