46. G. Wittum. Multi-grid Methods for Stokes and Navier-stokes Equations with Transform- Ing Smoothers: Algorithms and Numerical Results. Gmres: a Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems.grid and Iccg for Problems with Interfaces. In
نویسنده
چکیده
Numerical solution of the stationary navier-stokes equations by means of a multiple grid method and newton iteration. Distributive iterationen f ur indeenite Systeme als Gll atter in Mehrgitter-verfahren am Beispiel der Stokes-und Navier-Stokes-Gleichungen mit Schwerpunkt auf unvollstt andingen Zerlegungen. PhD thesis, Christan-Albrechts Universitt at, Kiel, 1986. 145. G. Wittum. Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions. Van der Wees. FAS multigrid employing ILU/SIP smoothing: a robust fast solver for 3D transonic potential ow. In Hackbusch and Trottenberg (1986), pages 315{331. 123. A.J. Van der Wees. Impact of multigrid smoothing analysis on three-dimensional potential ow calculations. In Mandel et al. (1989), pages 399{416. 124. A.J. Van der Wees. Robust calculation of 3D potential ow based on the nonlinear FAS multi-grid method and a mixed ILU/SIP algorithm. A nonlinear multigrid method for three-dimensional transonic potential ow. and T. Kushiyama. Parabolic multi-grid method for incom-pressible viscous ows using a group explicit relaxation scheme. On multiple grid and related techniques for solving discrete elliptic systems. The incomplete Choleski-conjugate gradient method for the iterative solution of systems of linear equations. iterative solution method for linear systems of which the coeecient matrix is a symmetric M-matrix. Guidelines for the usage of incomplete de-compositions in solving sets of linear equations as they occur in practical problems. J. Solution of the euler equations for two-dimensional ow by a multigrid method. Numerical solution of the euler equations by nite volume methods using Runge-Kutta time stepping schemes. 127 36. P.M. de Zeeuw. Matrix-dependent prolongations and restrictions in a blackbox multigrid solver. approximate factorization procedure for solving self-adjoint diierence equations. analysis of iterative methods for elliptic boundary value problems. solution of the Euler and Navier-Stokes equations with a vectorized multiple-grid algorithm. a property of some test equations for nite diierence or nite element methods. 125 7. O. Axelsson and B. Polman. On approximate factorization methods for block matrices suitable for vector and parallel processors. A comparison of two multi-level iterative methods for nonsymmetric and indeenite elliptic nite element equations. adaptive multi-level method for elliptic boundary value problems. Computing, 26:91{105, 1981. 13. D. Barkai and A. Brandt. Vectorized multigrid poisson solver for the cdc cyber 205. A. Brandt. Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems. An introduction has been presented to the application of multigrid methods to the numerical solution of elliptic and hyperbolic partial diierential equations. Because robustness is stongly …
منابع مشابه
Preconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation
Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc. It is not always possible to find an analytical solution for such equations. The approximate solution or numerical scheme may be a good approach, particularly, the schemes in numerical linear algebra for solving ...
متن کاملScientific Flow Field Simulation of Cruciform Missiles Through the Thin Layer Navier Stokes Equations
The thin-layer Navier-Stokes equations are solved for two complete missile configurations on an IBM 3090-200 vectro-facility supercomputer. The conservation form of the three-dimensional equations, written in generalized coordinates, are finite differenced and solved on a body-fitted curvilinear grid system developed in conjunction with the flowfield solver. The numerical procedure is based on ...
متن کاملSymmetric Interior Penalty Dg Methods for the Compressible Navier–stokes Equations I: Method Formulation
In this article we consider the development of discontinuous Galerkin finite element methods for the numerical approximation of the compressible Navier–Stokes equations. For the discretization of the leading order terms, we propose employing the generalization of the symmetric version of the interior penalty method, originally developed for the numerical approximation of linear self-adjoint sec...
متن کاملA Comparison of Three Solvers for the Incompressible Navier-Stokes Equations
Three solvers for saddle point problems arising from the linearization and discretization of the steady state incompressible Navier–Stokes equations are numerically studied. The numerical tests are based on nonconforming finite element approximations of lowest order in two–dimensional domains using isotropic meshes. The investigated solvers are coupled multigrid methods with Vanka–type smoother...
متن کاملOn the numerical solution of generalized Sylvester matrix equations
The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CG-type algorithms for solving generalized Sylvester matrix equations. The proposed methods are iterative projection metho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995