VRP-GMRES(m) Iteration Algorithm for Fast Multipole Boundary Element Method
AbstractTo solve large scale linear equations involved in the Fast Multipole Boundary Element Method (FM-BEM) efficiently, an iterative method named the generalized minimal residual method (GMRES(m)) algorithm with Variable Restart Parameter (VRP-GMRES(m)) algorithm is proposed. By properly changing a variable restart parameter for the GMRES(m) algorithm, the iteration stagnation problem resulting from improper selection of the parameter is resolved efficiently. Based on the framework of the VRP-GMRES(m) algorithm and the relevant properties of generalized inverse matrix, the projection of the error vector
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Yu, C.; Ren, C.; Bai, X. VRP-GMRES(m) Iteration Algorithm for Fast Multipole Boundary Element Method. Math. Comput. Appl. 2016, 21, 49.
Yu C, Ren C, Bai X. VRP-GMRES(m) Iteration Algorithm for Fast Multipole Boundary Element Method. Mathematical and Computational Applications. 2016; 21(4):49.Chicago/Turabian Style
Yu, Chunxiao; Ren, Cuihuan; Bai, Xueting. 2016. "VRP-GMRES(m) Iteration Algorithm for Fast Multipole Boundary Element Method." Math. Comput. Appl. 21, no. 4: 49.
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