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Zbl 0860.65119
Xu, Jinchao
Two-grid discretization techniques for linear and nonlinear PDEs. (English)
[J] SIAM J. Numer. Anal. 33, No.5, 1759-1777 (1996). ISSN 0036-1429; ISSN 1095-7170/e

Some discretization technique based on two (or more) finite element subspaces for solving partial differential equations is presented. Convergence estimates are derived to justify the efficiency of these algorithms. Some two-grid methods for nonsymmetric and/or indefinite linear partial differential equations (PDEs) are discussed. The main two-grid and some multigrid algorithms are also presented.
[Costică Moroşanu (Iaşi)]

MSC 2000:: *65N55 Multigrid methods; domain decomposition (BVP of PDE)
65F10 Iterative methods for linear systems
65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65N12 Stability and convergence of numerical methods (BVP of PDE)
35J65 (Nonlinear) BVP for (non)linear elliptic equations

Keywords: convergence; finite element; two-grid methods; multigrid algorithms

Cited in: Zbl pre06161678 Zbl 1042.65075 Zbl 0972.76059

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