DOI: 10.1007/bf02242137. On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level

On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level

10.1007/bf02242137

Crossref journal-article

Springer Science and Business Media LLC

Computing (297)

Bibliography

Yserentant, H. (1983). On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level. Computing, 30(4), 305â313.

Authors 1

H. Yserentant (first)

References 7 Referenced 10

Babuška, J., Kellog, R. B., Pitkäranta, J.: Direct and inverse error estimates for finite elements with mesh refinements. Num. Math.33, 447–471 (1979). (10.1007/BF01399326) / Num. Math. by J. Babuška (1979)
Bank, R. E., Dupont, T.: An optimal order process for solving elliptic finite element equations. Math. Comp.36, 35–51 (1981). (10.1090/S0025-5718-1981-0595040-2) / Math. Comp. by R. E. Bank (1981)
Braess, D., Hackbusch, W.: A new convergence proof for the multigrid method including theV-cycle. Preprint, Mathematisches Institut der Ruhr-Universität Bochum (1982).
Hackbusch, W.: On the convergence of multi-grid iterations. Beiträge Num. Math.9, 213–329 (1981). / Beiträge Num. Math. by W. Hackbusch (1981)
Kondrat'ev, V. A.: Boundary problems for elliptic equations with conical or angular points. Trans. Moscow Math. Soc.16, 227–313 (1967). / Trans. Moscow Math. Soc. by V. A. Kondrat'ev (1967)
Nicolaides, R. A.: On thel 2 convergence of an algorithm for solving finite element equations. Math. Comp.31, 892–906 (1977). / Math. Comp. by R. A. Nicolaides (1977)
Yserentant, H.: The convergence of multi-level methods for solving finite element equations in the presence of singularities. (Bericht Nr. 14, Institut für Geometrie und Praktische Mathematik der RWTH Aachen, 1982.)

Dates

Type	When
Created	19 years, 9 months ago (Nov. 14, 2005, 9:31 a.m.)
Deposited	6 years, 3 months ago (May 14, 2019, 3:15 p.m.)
Indexed	1 year, 11 months ago (Aug. 31, 2023, 1:27 a.m.)
Issued	41 years, 8 months ago (Dec. 1, 1983)
Published	41 years, 8 months ago (Dec. 1, 1983)
Published Print	41 years, 8 months ago (Dec. 1, 1983)

Funders 0

None

BibTeX

@article{Yserentant_1983, title={On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level}, volume={30}, ISSN={1436-5057}, url={http://dx.doi.org/10.1007/bf02242137}, DOI={10.1007/bf02242137}, number={4}, journal={Computing}, publisher={Springer Science and Business Media LLC}, author={Yserentant, H.}, year={1983}, month=dec, pages={305–313} }

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