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On multigrid convergence in the indefinite case

Author: R. A. Nicolaides
Journal: Math. Comp. 32 (1978), 1082-1086
MSC: Primary 65N30
MathSciNet review: 0520340
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Abstract: Previous results of the author on the convergence of the multigrid method for positive definite elliptic problems are generalized to cover the indefinite case.

References [Enhancements On Off] (What's this?)

  • [1] A. BRANDT, "Multi-level adaptive solution to boundary value problems," Math. Comp., v. 31, 1977, pp. 333-391. MR 0431719 (55:4714)
  • [2] A. BRANDT, Multi-level Adaptive Techniques (MLAT): Ideas and Software, Proc. Conf. Math. Software, Math. Res. Center, Wisconsin, 1977.
  • [3] RANDOLPH A. BANK & T. DUPONT, An Optimal Order Process for Solving Elliptic Finite Element Equations, Department of Mathematics, University of Chicago, 1978. (Manuscript.)
  • [4] W. HACKBUSCH, "On the convergence of a multigrid iteration applied to finite element equations," Numer. Math. (To appear.)
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  • [7] R. A. NICOLAIDES, On a Proposal for solving Discrete Finite Element Equations, Proc. Conf. Linear Algebra and Finite Elements, Brunel University, June 1975.
  • [8] R. A. NICOLAIDES, "On the $ {l^2}$ convergence of an algorithm for solving finite element equations," Math. Comp., v. 31, 1977, pp. 892-906. MR 0488722 (58:8239)
  • [9] G. STRANG AND G. FIX, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N. J., 1973. MR 0443377 (56:1747)

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Article copyright: © Copyright 1978 American Mathematical Society

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