نتایج جستجو برای: seidel

تعداد نتایج: 1765  

Journal: :SIAM J. Scientific Computing 1994
Alexandre Ern Vincent Giovangigli David E. Keyes Mitchell D. Smooke

We investigate the performance of several preconditioned Conjugate-Gradient-like algorithms and a standard stationary iterative method (block-line-SOR) on linear systems of equations as they arise from a nonlinear elliptic ame sheet problem simulation. The nonlinearity forces a pseudo-transient continuation process that makes the problem parabolic and thus compacts the spectrum of the Jacobian ...

2008
B. T. Helenbrook H. L. Atkins

We investigate p-multigrid as a solution method for several different discontinuous Galerkin (DG) formulations of the Poisson equation. Different combinations of relaxation schemes and basis sets have been combined with the DG formulations to find the best performing combination. The damping factors of the schemes have been determined using Fourier analysis for both one and two-dimensional prob...

2003
J. Steelant

The multigrid performance of pointwise, linewise and blockwise Gauss-Seidel relaxations for compressible laminar and turbulent Navier-Stokes equations is illustrated on two low-speed test problems: a flat plate and a backward facing step. The line method is an Alternating Symmetric Line Gauss-Seidel relaxation. In the block methods, the grid is subdivided into geometric blocks of n x n points w...

Journal: :Math. Comput. 2005
Hongkai Zhao

In this paper a fast sweeping method for computing the numerical solution of Eikonal equations on a rectangular grid is presented. The method is an iterative method which uses upwind difference for discretization and uses Gauss-Seidel iterations with alternating sweeping ordering to solve the discretized system. The crucial idea is that each sweeping ordering follows a family of characteristics...

1995
Jun Zhang

A new relaxation analysis and two acceleration schemes are proposed for the ve-point Red-Black Gauss-Seidel smoothing in multigrid for solving two dimensional Poisson equation. For a multigrid V cycle, we discovered that under-relaxation is applicable to restriction half cycle and overrelaxation is applicable to interpolation half cycle. Numerical experiments using modi ed multigrid V cycle alg...

2005
Gunnar A. Staff Trygve K. Nilssen

Recently, the authors introduced a preconditioner for the linear systems that arise from fully implicit Runge-Kutta time stepping schemes applied to parabolic PDEs [9]. The preconditioner was a block Jacobi preconditioner, where each of the blocks were based on standard preconditioners for low-order time discretizations like implicit Euler or Crank-Nicolson. It was proven that the preconditione...

2007
P. W. Hemker W. Hoffmann M. H. van Raalte

In this paper we study a multigrid method for the solution of a linear second order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. We find that point-wise block-partitioning gives much better results than the classical cell-wise partitioning. Both for the Baumann-Oden and for th...

2017
Bjorn Hellenkamp Sonja Schmid Olga Doroshenko Oleg Opanasyuk Ralf Kuhnemuth Soheila Rezaei Adariani Anders Barth Victoria Birkedal Mark E. Bowen Hongtao Chen Thorben Cordes Tobias Eilert Carel Fijen Markus Gotz Giorgos Gouridis Enrico Gratton Taekjip Ha Christian A. Hanke Andreas Hartmann Jelle Hendrix Lasse L. Hildebrandt Johannes Hohlbein Christian G. Hubner Eleni Kallis Achillefs N. Kapanidis Jae-Yeol Kim Georg Krainer Don C. Lamb Nam Ki Lee Edward A. Lemke Bri'e Levesque Marcia Levitus James J. McCann Nikolaus Naredi-Rainer Daniel Nettels Thuy Ngo Ruoyi Qiu Carlheinz Rocker Hugo Sanabria Michael Schlierf Benjamin Schuler Henning Seidel Lisa Streit Philip Tinnefeld Swati Tyagi Niels Vandenberk Keith R. Weninger Bettina Wunsch Inna S. Yanez-Orozco Jens Michaelis Claus A.M. Seidel Timothy D. Craggs Thorsten Hugel

Björn Hellenkamp, Sonja Schmid, Olga Doroshenko, Oleg Opanasyuk, Ralf Kühnemuth, Soheila Rezaei Adariani, Anders Barth, Victoria Birkedal, Mark E. Bowen, Hongtao Chen, Thorben Cordes, Tobias Eilert, Carel Fijen, Markus Götz, Giorgos Gouridis, Enrico Gratton, Taekjip Ha, Christian A. Hanke, Andreas Hartmann, Jelle Hendrix, Lasse L. Hildebrandt, Johannes Hohlbein, Christian G. Hübner, Eleni Kalli...

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