Search Results - Two-grid preconditioned conjugate gradient algorithm

Exact boundary controllability of the second-order Maxwell system: Theory and numerical simulation by Darbas, M., Goubet, O., Lohrengel, S.

“… A two-grid preconditioned conjugate gradient algorithm is employed to inverse the H.U.M. operator and to construct the numerical control…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients by Zhu, Yunrong

“… We showed that the convergence rates of the (multiplicative) two-grid and multigrid V-cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients by Zhu, Yunrong

“… We showed that the convergence rates of the (multiplicative) two‐grid and multigrid V‐cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
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Multi-time-step and two-scale domain decomposition method for non-linear structural dynamics by Gravouil, A., Combescure, A.

“… variation lengths on a coarse scale. For non‐linear problems, we propose an algorithm with a single iteration level to deal…”
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Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods by Tang, J. M., Nabben, R., Vuik, C., Erlangga, Y. A.

“…For various applications, it is well-known that a multi-level, in particular two-level, preconditioned CG (PCG…”
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A Comparative Study of Iterative Solvers Exploiting Spectral Information for SPD Systems by Giraud, Luc, Ruiz, Daniel, Touhami, Ahmed

“… This observation is of importance even when a preconditioner is used, and some extra techniques might be investigated to further improve the convergence rate of the conjugate gradient on the given preconditioned system…”
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Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning by Knyazev, Andrew V., Lashuk, Ilya

“…We analyze the conjugate gradient (CG) method with variable preconditioning for solving a linear system with a real symmetric positive definite (SPD…”
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An optimal Schwarz preconditioner for a class of parallel adaptive finite elements by Loisel, Sébastien, Nguyen, Hieu

“… With this preconditioner, the convergence rate of the conjugate gradient method is shown to depend only on the ratio of the second largest and smallest eigenvalues of the preconditioned system…”
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Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction by Borrell, R., Lehmkuhl, O., Trias, F.X., Oliva, A.

“… The latter decomposes the original system into a set of mutually independent 2D systems which are solved by means of the DSD algorithm…”
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Analysis of an Aggregation-based Algebraic Multigrid Method and its Parallelization by Chen, Meng-Huo

“…The interests of this thesis are twofold. First, a two-grid convergence analysis based on the paper…”
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A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids by Formaggia, Luca, Scheinine, Alan, Quarteroni, Alfio

“…) algorithm preconditioned by Schwarz domain decomposition. The two-level scheme is obtained by augmenting the preconditioning system by a coarse grid operator constructed by employing an agglomeration-type algebraic procedure…”
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