In a recent paper, a bound was derived on the convergence of the multigrid V-cycle for the case when the solution is in the Sobolev space H 1+ α but not in H 1+ α', α' #62;; α, showing that the convergence factor approaches one only as 1 − O( k ( α-1)/ α) for...
摘要: In this paper an optimal V-cycle multigrid method is presented for the TRUNC plate element. The uniform convergence rate independent of mesh sizes and levels is established. The method is extended to Bergan's energy-orthogonal plate element....
J. Zhao, “Convergence of Vand F-cycle Multigrid Methods for Biharmonic Problem Using the HsiehClough-Tocher Element,” Numerical Methods for Partial Differential Equations, Vol. 21, No. 3, 2005, pp. 451-471. http://dx.doi.org/10.1002/num.20048...
Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems. Math. Comp., 73(247):1041-1066, 2003.S. C. Brenner. Convergence of nonconforming V-cycle and F-cycle multi- grid algorithms for second order elliptic boundary value problems...
In this paper, we present an analysis of a multigrid method for nonsymmetric and/or indefinite elliptic problems. In this multigrid method various types of smoothers may be used. One type of smoother which we consider is defined in terms of an associated symmetric problem and includes point and...
Convergence of Vand Fヽycle multigrid methods for the biharmonic problem using the Hsieh〤lough㏕ocher elementdoi:10.1002/num.20048Jie ZhaoWiley Subscription Services, Inc., A Wiley CompanyNumerical Methods for Partial Differential Equations