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Volumn 107, Issue 3, 2007, Pages 503-532

Multilevel preconditioning for partition of unity methods: Some analytic concepts

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EID: 34548108354     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0089-7     Document Type: Article
Times cited : (14)

References (18)
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    • Dahmen, W.1    Dekel, S.2    Petrushev, P.3
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    • Davydov, O.1    Petrushev, P.2
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    • Towards a unified theory of domain decomposition for elliptic problems
    • Chan, T., Glowinski, R., Periaux, J., Widlund, O. (eds) Houston (Texas), March SIAM (1990)
    • Dryja, M., Widlund, O.: Towards a unified theory of domain decomposition for elliptic problems. In: Chan, T., Glowinski, R., Periaux, J., Widlund, O. (eds) 3rd International Symposium on Domain Decomp. Methods for PDEs, Houston (Texas), March 1989, SIAM (1990)
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    • Multilevel additive methods for elliptic finite element problems
    • Hackbusch, W. (ed) Parallel Algorithms for PDE Kiel 1990, Vieweg, Braunschweig
    • Dryja, M., Widlund, O.: Multilevel additive methods for elliptic finite element problems, In: Hackbusch, W. (ed) Parallel Algorithms for PDE, Proceedings 6th GAMM Seminar, Kiel 1990, Vieweg, Braunschweig (1991)
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    • A particle-partition of unity method-Part III: A multilevel solver
    • Griebel M. and Schweitzer M.A. (2002). A particle-partition of unity method-Part III: a multilevel solver. SIAM J. Sci. Comput. 24: 377-409
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 377-409
    • Griebel, M.1    Schweitzer, M.A.2
  • 9
    • 21844511143 scopus 로고
    • Remarks on the abstract theory of additive and multiplicative Schwarz methods
    • Griebel M. and Oswald P. (1995). Remarks on the abstract theory of additive and multiplicative Schwarz methods. Numer. Math. 70: 163-180
    • (1995) Numer. Math. , vol.70 , pp. 163-180
    • Griebel, M.1    Oswald, P.2
  • 12
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    • Nonlinear piecewise polynomial approximation beyond Besov spaces
    • Karaivanov B. and Petrushev P. (2003). Nonlinear piecewise polynomial approximation beyond Besov spaces. Appl. Comput. Harmon. Anal. 15: 177-223
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    • A parallel multilevel partition of unity method for elliptic partial differential equations
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    • Schweitzer, M.A.: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations, Lecture Notes in Computational Sciences and Engineering, Springer, Heidelberg, Vol. 29 (2003)
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    • Schweitzer, M.A.1
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