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Multi-grid algorithms with applications to elliptic boundary-value problems. (English) Zbl 0534.65062

This paper extends the multigrid convergence proof by R. E. Bank and T. Dupont [Math. Comput. 36, 35-51 (1981; Zbl 0466.65059)] for symmetric, positive definite problems to the case when the solution spaces need not be nested. The results are applied to self-adjoint elliptic problems discretized by finite elements and finite differences.
Reviewer: J.Mandel

MSC:

65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J25 Boundary value problems for second-order elliptic equations

Citations:

Zbl 0466.65059
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