New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 98
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شناسه ملی سند علمی:
JR_CMDE-6-2_001
تاریخ نمایه سازی: 15 بهمن 1401
چکیده مقاله:
In this paper, we present new variants of global bi-conjugate gradient (Gl-BiCG) and global bi-conjugate residual (Gl-BiCR) methods for solving nonsymmetric linear systems with multiple right-hand sides. These methods are based on global oblique projections of the initial residual onto a matrix Krylov subspace. It is shown that these new algorithms converge faster and more smoothly than the Gl-BiCG and Gl-BiCR methods. The preconditioned versions of these methods are also explored in this study. Eventually, the efficiency of these approaches are demonstrated through numerical experimental results arising from two and three-dimensional advection dominated elliptic PDE.
کلیدواژه ها:
Matrix Krylov subspaces ، Elliptic Partial differential equation ، Non symmetric linear systems ، Global iterative methods ، Multiple right-hand sides