SCOPUS 정보 검색 플랫폼

Numerische Mathematik

Volumn 63, Issue 1, 1992, Pages 315-344

Multilevel preconditioning

(2) Dahmen, Wolfgang a Kunoth, Angela b

a RWTH AACHEN UNIVERSITY (Germany)

b FREIE UNIVERSITÄT BERLIN (Germany)

Author keywords

Mathematics Subject Classification (1991): 65F35, 65N30, 41A63, 41A17, 46E35

Indexed keywords

EID: 33845592412 PISSN: 0029599X EISSN: 09453245 Source Type: Journal
DOI: 10.1007/BF01385864 Document Type: Article

Times cited : (229)

References (44)

1
- 84931100389
- Academic Press, New York
- (1978) Sobolev Spaces
- Ada, R.A.¹

2
- 84936055526
- [Awa] Aware Inc., Cambridge, Mass. (1990): Wavelet analysis and the numerical solutions of partial differential equations. Progress Report

3
- 84936011849
- [Bä] Bänsch, E. (1991): Local mesh refinement in two and three dimensions. IMPACT (to appear)

4
- 0002641609
- Refinement algorithms and data structures for regular local mesh refinement
- R., Stepleman, et al., Amsterdam IMACS, North-Holland
- (1983) Scientific Computing , pp. 3-17
- Bank, R.E.¹ Sherman, A.H.² Weiser, A.³

5
- 51249180153
- B-splines from parallelepipeds
- (1982) J. Anal. Math. , vol.42 , pp. 99-115
- de Boor, C.¹ Höllig, K.²

6
- 84936051382
- [B] Bornemann, F.A. (1991): A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations. Preprint SC91-9, ZIB

7
- 84966234195
- Parallel multilevel preconditioners
- (1990) Mathematics of Computation , vol.55 , pp. 1-22
- Bramble, J.H.¹ Pasciak, J.E.² Xu, J.³

8
- 84936036684
- [CW] Cai, Z., Weinan, E. (1991): Hierarchical method for elliptic problems using wavelets. Manuscript

9
- 84936004367
- [CDM] Cavaretta, A.S., Dahmen, W., Micchelli, C.A. (1991): Stationary Subdivision, Memoirs of Amer. Math. Soc., Vol. 93, #453

10
- 84936001790
- [CSW] Chui, C.K., Stöckler, J., Ward, J.D. (1991): Compactly supported box spline wavelets. Preprint

11
- 84936028074
- [CDF] Cohen, A., Daubechies I., Feauveau, J.-C. (1990): Biorthogonal bases of compactly supported wavelets. Preprint

12
- 0010049016
- Multidimensional spline approximation
- (1980) SIAM Journal on Numerical Analysis , vol.17 , pp. 380-402
- Dahmen, W.¹ De Vore, R.A.² Scherer, K.³

13
- 0011615195
- Recent progress in multivariate splines
- C.K., Chui, L.L., Schumaker, J.D., Ward, Academic Press, New York
- (1983) Approximation Theory IV , pp. 27-121
- Dahmen, W.¹ Micchelli, C.A.²

14
- 48749149983
- Translates of multivariate splines
- (1983) LAA , vol.52-53 , pp. 217-234
- Dahmen, W.¹ Micchelli, C.A.²

15
- 84936019182
- [DM3] Dahmen W., Micchelli, C.A. (1991): Using the refinement equation for evaluating integrals of wavelets. Siam J. Numer. Anal. (to appear)

16
- 84936009334
- [DM4] Dahmen, W., Micchelli, C.A.: Dual wavelet expansions for general scalings. In preparation

17
- 84935998724
- [DOS] Dahmen, W., Oswald, P., Shi, X.Q. (1991): C¹-Hierarchical bases. J. Comp. Appl. Math. (to appear)

18
- 84936038178
- [DPS] Dahmen, W., Prößdorf, S., Schneider, R. (1992): Wavelet approximation methods for pseudodifferential equations. I. Stability and Convergence. Preprint of the Institute of Applied Analysis and Stochastics, No. 7, Berlin

19
- 84990575058
- Orthonormal bases of wavelets with compact support
- (1987) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
- Daubechies, I.¹

20
- 0002166014
- Concepts of an adaptive finite element code
- (1989) IMPACT Comput. Sci. Engin. , vol.1 , pp. 3-35
- Deuflhard, P.¹ Leinen, P.² Yserentant, H.³

21
- 84936010078
- [DJP] DeVore, R.A., Jawerth, B., Popov, V.A. (1990): Compression of wavelet decompositions. Preprint, University of South Carolina

22
- 84966241361
- Interpolation of Besov spaces
- (1988) Transactions of the American Mathematical Society , vol.305 , pp. 397-414
- DeVore, R.A.¹ Popov, V.A.²

23
- 0003337602
- Free multivariate splines
- (1987) Const. Approx. , vol.3 , pp. 239-248
- DeVore, R.A.¹ Popov, V.A.²

24
- 84935996832
- [DS] DeVore R.A., Sharpley, R.C. (1983): Maximal Functions Measuring Smoothness. Memoirs of the Amer. Math. Soc. 293, Providence

25
- 0043052742
- Aware Inc., Cambridge, Mass.
- (1989) Wavelet solution of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Preprint
- Glowinski, R.¹ Lawton, W.M.² Ravachol, M.³ Tenenbaum, E.⁴

26
- 84936049360
- [J] Jaffard, S. (1990): Wavelet methods for fast resolution of elliptic problems. Preprint

27
- 0002888350
- Using the refinement equation for the construction of pre-wavelets II: Powers of two
- P.J., Laurent, A., Le Méhauté, L.L., Schumaker, Academic Press, New York
- (1991) Curves and Surfaces
- Jia, R.Q.¹ Micchelli, C.A.²

28
- 0007071399
- On the equivalence of the K-functional and the moduli of continuity and some applications
- Springer Lecture Notes in Mathematics, 571, Springer, Berlin Heidelberg New York
- (1977) Constructive Theory of Functions of Several Variables , pp. 119-140
- Johnen, H.¹ Scherer, K.²

29
- 84936006206
- [JW] Jonsson A., Wallin, H. (1984): Function Spaces on Subsets of ℝⁿ. Harwood Academic Publishers. Mathematical Reports, Vol. 2

30
- 84936042799
- [L] Leinen, P. (1990): Ein schneller adaptiver Löser für elliptische Randwertprobleme auf Seriell- und Parallelrechnern, Thesis, Universität Dortmund

31
- 84966210236
- Multiresolution approximation and wavelet orthonormal bases of L²
- (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 69-88
- Mallat, S.¹

32
- 0004105134
- Hermann, Paris
- (1990) Ondelettes
- Meyer, Y.¹

33
- 0003563332
- 2nd ed., Nauka, Moscow
- (1977) Approximation of Functions of Several Variables and Imbedding Theorems
- Nikolskii, S.M.¹

34
- 0001988435
- On function spaces related to finite element approximation theory
- (1990) Z. Anal. Anwendungen , vol.9 , pp. 43-64
- Oswald, P.¹

35
- 84936011372
- [O2] Oswald, P. (1992): Hierarchical conforming finite element methods for the biharmonic equation. SIAM J. Numer. Anal. (to appear)

36
- 84936000732
- [O3] Oswald, P. (1991); On discrete norm estimates related to multilevel preconditioners in the finite element method. Preprint

37
- 0003902550
- Encyclopedia Math. Appl., Vol. 28, Cambridge University Press, Cambridge
- (1987) Rational approximation of real valued functions
- Popov, V.A.¹ Petrushev, P.²

38
- 84936019456
- [RS] Riemenschneider, S., Shen, Z. (1991): Wavelets and pre-wavelets in low dimensions. Preprint

39
- 84936021568
- [Sh] Sharpley, R.C. (1983): Cone conditions and the modulus of continuity. In: Proceedings of the 2nd Conference on Approx. Theory, Vol. 3. Edmonton, Canadian Math. Soc., Amer. Math. Soc., pp. 341–351

40
- 34250277730
- Jackson's theorem in the spaces Lp(ℝ^k), 0< p<1
- (1978) Siberian Math. , vol.19 , pp. 630-639
- Storozhenko, E.A.¹ Oswald, P.²

41
- 0003799686
- Princeton University Press, Princeton
- (1970) Singular Integrals and Differentiability Properties of Functions
- Stein, E.M.¹

42
- 0003882441
- Dt. Verl. Wiss., Berlin
- (1978) Interpolation Theory, Function Spaces, Differential Operators
- Triebel, H.¹

43
- 34250126304
- On the multilevel splitting of finite element spaces
- (1986) Numer. Math. , vol.49 , pp. 379-412
- Yserentant, H.¹

44
- 0000760561
- Two preconditioners based on the multilevel splitting of finite element spaces
- (1990) Numer. Math. , vol.58 , pp. 163-184
- Yserentant, H.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.