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- W2372080659 abstract "Based on the difference matrices corresponding to differential operators,a triangular matrix preconditioner is presented in this paper.A basic idea to construct high efficient preconditioners in the process of operator discretization,not after the process,is emphasized.The validity of the preconditioner is verified by means of preconditioned conjugate gradient on normal equation with minimization of the residual(PCGNR) and the model problem of two dimensional scattering from a conducting cylinder with the second order Mur's absorbing boundary condition.The numerical results show that,the computational complexity of the preconditioned method,by contrast with that of conventional conjugate gradient method,can be decreased for finer mesh sizes and farther absorbing boundary,with the same storage complexity.It is also revealed from the results that the arithmetic operations almost linearly grow with the unknowns under the condition of fixed mesh size and absorbing boundary distance,due to the less iteration number changing of different versions of the conjugate gradient methods." @default.
- W2372080659 created "2016-06-24" @default.
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- W2372080659 date "2006-01-01" @default.
- W2372080659 modified "2023-09-25" @default.
- W2372080659 title "A Triangular Matrix Preconditioner of the Conjugate Gradient Method for Solving Helmholtz Equation" @default.
- W2372080659 hasPublicationYear "2006" @default.
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