In this paper we discuss convergence of multigrid methods with respect to the maximum norm for 2D elliptic boundary value problems. Our analysis uses Hackbusch's framework based on the Smoothing Property and Approximation Property (cf. [4]). We present a rather general framework for establishing the Smoothing Property in the maximum norm. The analysis fits in nicely with the classical theory of diagonally dominant matrices and of M-matrices. 1 1
Abstract. This paper discusses multigrid for high dimensional partial differential equa-tions (PDEs)...
This paper discusses multigrid for high dimensional partial differential equations (PDEs). We presen...
Abstract. About thirty years ago, Achi Brandt wrote a seminal paper providing a convergence theory f...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Abstract: "Standard multigrid methods are not so effective for equations with highly oscillatory coe...
Abstract. This paper discusses multigrid for high dimensional partial differential equa-tions (PDEs)...
This paper discusses multigrid for high dimensional partial differential equations (PDEs). We presen...
Abstract. About thirty years ago, Achi Brandt wrote a seminal paper providing a convergence theory f...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic bound...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Multigrid methods applied to standard linear finite element discretizations of linear elliptic two-p...
Abstract: "Standard multigrid methods are not so effective for equations with highly oscillatory coe...
Abstract. This paper discusses multigrid for high dimensional partial differential equa-tions (PDEs)...
This paper discusses multigrid for high dimensional partial differential equations (PDEs). We presen...
Abstract. About thirty years ago, Achi Brandt wrote a seminal paper providing a convergence theory f...