A cascadic multigrid algorithm for semilinear elliptic problems

Numerische Mathematik

Volumn 86, Issue 4, 2000, Pages 717-731

  Timmermann, Gisela ^a,b  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b Interactive Objects Software GmbH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034367974     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005416     Document Type: Article

References (13)

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2. F. A. Bornemann, P. Deuflhard: The cascadic multigrid method for elliptic problems. Numer. Math. 75, 135-152 (1996)
3. F. A. Bornemann: On the convergence of cascadic iterations for elliptic problems. Technical Report SC 94-8, Konrad-Zuse-Zentrum für Informationstechnik Berlin, 1994
4. P. Deuflhard: Cascadic conjugate gradient methods for elliptic partial differential equations i. algorithm and numerical results. Technical Report SC 93-23, Konrad-Zuse-Zentrum für Informationsntechnik Berlin, 1993
5. L. V. Gilyova, V. V. Shaidurov: Cascade algorithms for solution of discrete analouge of slightly nonlinear equation. Technical Report IOKOMO-01-98, Technische Universität Dresden, Fakultät für Mathematik und Naturwissenschaften, 1998
6. P. Grisvard: Elliptic Problems in Nonsmooth Domains. Pitman, Boston, 1985
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9. V. V. Shaidurov: Some estimates of the rate of convergence for the cascadic conjugate-gradient method. Technical Report 4, Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, 1994
10. V. V. Shaidurov: The convergence of the cascadic conjugate-gradient method under a deficient regularity. Problems and Methods in Mathematical Physics (L. Jentsch and F. Tröltzsch, eds.), Teubner, Stuttgart Leipzig, 1994, pp. 185-194
11. V. V. Shaidurov: Multigrid Methods for Finite Elements. Kluwer Academic Publishers, Dordrecht 1995
12. V. V. Shaidurov: Cascadic algorithm with nested subspaces in domains with curvilinear boundary Advanced Mathematics: Computations and Applications (A. S. Alekseev and N. S. Bakhvalov, eds.). NCC Publisher, Novosibirsk, 1995, pp. 588-595
13. V. V. Shaidurov: Some estimates of the rate of convergence for the cascadic conjugate-gradient method. Comput. Math. Appl. 31, (No. 4/5), 161-171 (1996)