On multigrid convergence in the indefinite case
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- by R. A. Nicolaides PDF
- Math. Comp. 32 (1978), 1082-1086 Request permission
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
- Achi Brandt, Multi-level adaptive solutions to boundary-value problems, Math. Comp. 31 (1977), no. 138, 333–390. MR 431719, DOI 10.1090/S0025-5718-1977-0431719-X A. BRANDT, Multi-level Adaptive Techniques (MLAT): Ideas and Software, Proc. Conf. Math. Software, Math. Res. Center, Wisconsin, 1977. RANDOLPH A. BANK & T. DUPONT, An Optimal Order Process for Solving Elliptic Finite Element Equations, Department of Mathematics, University of Chicago, 1978. (Manuscript.) W. HACKBUSCH, "On the convergence of a multigrid iteration applied to finite element equations," Numer. Math. (To appear.) W. HACKBUSCH, "On the computation of eigenvalues and eigenfunctions of elliptic operator by means of a multigrid method," Numer. Math. (To appear.) W. HACKBUSCH, A Fast Numerical Method for Elliptic Boundary Value Problems with Variable Coefficients, 2nd GAMM Conference on Numer. Math. in Fluid Mechanics, DFVLR, Köln, October 1977. R. A. NICOLAIDES, On a Proposal for solving Discrete Finite Element Equations, Proc. Conf. Linear Algebra and Finite Elements, Brunel University, June 1975.
- R. A. Nicolaides, On the $l^{2}$ convergence of an algorithm for solving finite element equations, Math. Comp. 31 (1977), no. 140, 892–906. MR 488722, DOI 10.1090/S0025-5718-1977-0488722-3
- Gilbert Strang and George J. Fix, An analysis of the finite element method, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973. MR 0443377
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 1082-1086
- MSC: Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1978-0520340-1
- MathSciNet review: 0520340