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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 finite element (FE) analysis of electromagnetic fields suffers from slow convergence of linear solvers when there are flat or distorted elements. Similar problems also happen when with layered structures such as laminated steel plates. These problems are attributed to poor matrix conditioning. This paper shows the deflation technique, which replaces small eigenvalues of the FE matrix with zeros,...
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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