DOI: 10.1007/bf01389538. On the multi-level splitting of finite element spaces

On the multi-level splitting of finite element spaces

10.1007/bf01389538

Crossref journal-article

Springer Science and Business Media LLC

Numerische Mathematik (297)

Bibliography

Yserentant, H. (1986). On the multi-level splitting of finite element spaces. Numerische Mathematik, 49(4), 379â412.

Authors 1

Harry Yserentant (first)

References 16 Referenced 496

Axelsson, O., Barker, V.A.: Finite element solution of boundary value problems: Theory and computation. New York: Academic Press 1984 / Finite element solution of boundary value problems: Theory and computation by O. Axelsson (1984)
Axelsson, O., Gustafsson, I.: Preconditioning and two-level multigrid methods of arbitrary degree of approximation. Math. Comput.40, 219?242 (1983) (10.1090/S0025-5718-1983-0679442-3) / Math. Comput. by O. Axelsson (1983)
Bank, R.E.: PLTMG user's guide, Edition 4.0, Technical Report, Department of Mathematics, University of California at San Diego 1985
Bank, R.E., Dupont, T.: An optimal order process for solving finite element equation. Math. Comput.36, 35?51 (1981) (10.1090/S0025-5718-1981-0595040-2) / Math. Comput. by R.E. Bank (1981)
Bank, R.E., Dupont, T.: Analysis of a two-level scheme for solving finite element equations. Report CNA-159, Center for Numerical Analysis, University of Texas at Austin 1980 (10.2118/7683-MS)
Braess, D.: The contraction number of a multigrid method for solving the Poisson equation. Numer. Math.37, 387?404 (1981) (10.1007/BF01400317) / Numer. Math. by D. Braess (1981)
Hackbusch, W.: On the convergence of multi-grid iterations. Beiträge Numer. Math.9, 213?329 (1981) / Beiträge Numer. Math. by W. Hackbusch (1981)
Hackbusch, W.: Multi-grid convergence theory. In: Multigrid methods. (W. Hackbusch and U. Trottenberg eds.). (10.1007/BFb0069929)
Hackbusch, W., Trottenberg, U.: Multigrid methods. Proceedings, Köln 1981, Lect. Notes Math. 960. Berlin, Heidelberg, New York: Springer 1982 (10.1007/BFb0069927) / Multigrid methods. Proceedings, Köln 1981 / Lect. Notes Math. by W. Hackbusch (1982)
Oganesjan, L.A., Ruhovec, L.A.: Variational difference methods for the solution of elliptic differential equations (in Russian) Erevan 1979
Thomée, V.: Galerkin finite element methods for parabolic problems. Lect. Notes Math. 1054. Berlin, Heidelberg, New York: Springer 1984 / Galerkin finite element methods for parabolic problems / Lect. Notes Math. by V. Thomée (1984)
Wendland, W.L.: Elliptic systems in the plane. London, San Francisco, Melbourne: Pitman 1979 / Elliptic systems in the plane by W.L. Wendland (1979)
Yserentant, H.: The convergence of multi-level methods for solving finite element equations in the presence of singularities (To appear in Math. Comput.)
Yserentant, H.: On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level. Computing30, 305?313 (1983) (10.1007/BF02242137) / Computing by H. Yserentant (1983)
Yserentant, H.: Über die Maximumnormkonvergenz der Methode der finiten Elemente bei geringsten Regularitätsvoraussetzungen. Z. Angew. Math. Mech.65, 91?100 (1985) (10.1002/zamm.19850650209) / Z. Angew. Math. Mech. by H. Yserentant (1985)
Zienciewicz, O.C., Kelly, D.W., Gago, J., Babu?ka, I.: Hierarchical finite element approaches, error estimates and adaptive refinement. In: The mathematics of finite elements and applications IV. (J.R. Whiteman ed.) London: Academic Press 1982 / The mathematics of finite elements and applications IV by O.C. Zienciewicz (1982)

Dates

Type	When
Created	20 years, 4 months ago (April 2, 2005, 3:48 a.m.)
Deposited	4 years, 1 month ago (July 7, 2021, 4:27 p.m.)
Indexed	1 month, 2 weeks ago (July 7, 2025, 3:26 a.m.)
Issued	39 years, 1 month ago (July 1, 1986)
Published	39 years, 1 month ago (July 1, 1986)
Published Print	39 years, 1 month ago (July 1, 1986)

Funders 0

None

BibTeX

@article{Yserentant_1986, title={On the multi-level splitting of finite element spaces}, volume={49}, ISSN={0945-3245}, url={http://dx.doi.org/10.1007/bf01389538}, DOI={10.1007/bf01389538}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Yserentant, Harry}, year={1986}, month=jul, pages={379–412} }

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