３．計算力学 波浪回折問題のための境界要素法へのＧＭＲＥＳ‐ＩＲの適用 [in Japanese] Application of the Implicitly Restarting GMRES (GMRES-IR) to the Boundary Element Analysis for Wave Diffraction Problems [in Japanese]
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The generalized minimal residual method (GMRES) is a well-known iterative method for solving large non-Hermitian linear systems of equations.Since GMRES becomes increasingly expensive and requires more storage as the iteration proceeds, it generally uses restarting, which slows the convergence.However, if the new starting vector is chosen appropriately at the time of the restart, this can improve the convergence.By the implicitly restarting GMRES (GMRES-IR) method, approximate eigenvectors determined from the previous subspace are included in the new subspace and this deflates the smallest eigenvalues.We apply ths GMRES-IR method for the analysis of the boundary value problem related to the diffraction wave field around a Very Large Floating Structure (VLFS) and compare it with the usual GMRES method.
- Journal of applied mechanics
Journal of applied mechanics (6), 275-281, 2003
Japan Society of Civil Engineers