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All issues Volume 32 / No 4 (1998) ESAIM: M2AN, 32 4 (1998) 405-431 References
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Issue
ESAIM: M2AN
Volume 32, Number 4, 1998
Page(s) 405 - 431
DOI https://doi.org/10.1051/m2an/1998320404051
Published online 27 January 2017
  1. S. BERTOLUZZA, Interior estimates for the wavelet Galerkin method, Numer. Math. 78 (1997), pp. 1-20. [MR: 1483566] [Zbl: 0888.65113] [Google Scholar]
  2. C. BORGERS and O. B. WIDLUND, On finite element domain imbedding methods, SIAM J. Numer. Anal., 27 (1990), pp. 963-978. [MR: 1051116] [Zbl: 0705.65078] [Google Scholar]
  3. D. BRAESS, Finite-Elemente, Springer Lehrbuch, Springer-Verlag, Berlin, 1992. [Zbl: 0754.65084] [Google Scholar]
  4. J. H. BRAMBLE and J. E. PASCIAK, New estimates for multilevel algorithms including the V-cycle, Math. Comp., 60 (1993), pp. 447-471. [MR: 1176705] [Zbl: 0783.65081] [Google Scholar]
  5. J. H. BRAMBLE, J. E. PASCIAK and J. XU, Parallel multilevel preconditioners, Math. Comp., 55 (1990), pp. 1-22. [MR: 1023042] [Zbl: 0703.65076] [Google Scholar]
  6. C. K. CHUI, Multivariate Splines, vol. 54 of CBMS-NSF Series in Applied Mathematics, SIAM, Philadelphia, 1988. [MR: 1033490] [Zbl: 0687.41018] [Google Scholar]
  7. B. A. CIPRA, A rapid-deployment force for CFD : Cartesian grids, Siam News (Newsjournal of the Society for Industrial and Applied Mathematics), 25 (1995). [Google Scholar]
  8. A. COHEN, I. DAUBECHIES and J.-C. FEAUVEAU, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), pp. 485-560. [MR: 1162365] [Zbl: 0776.42020] [Google Scholar]
  9. S. DAHLKE, V. LATOUR and K. GRÖCHENIG, Biorthogonal box spline wavelet bases, Bericht 122, Institut für Geometrie und Praktische Mathematik, RWTH Aachen, 1995. [Zbl: 0946.65149] [Google Scholar]
  10. W. DAHMEN and A. KUNOTH, Multilevel preconditioning, Numer. Math., 63 (1992), pp. 315-344. [EuDML: 133684] [MR: 1186345] [Zbl: 0757.65031] [Google Scholar]
  11. W. DAHMEN and C. A. MICCHELLI, Using the refinement equation for evaluating integrals of wavelets, SIAM J. Numer. Anal., 30 (1993), pp. 507-537. [MR: 1211402] [Zbl: 0773.65006] [Google Scholar]
  12. W. DAHMEN, S. PRÖSSDORF and R. SCHNEIDER, Wavelet approximation methods for pseudodifferential equations I : Stability and convergence, Math. Z., 215 (1994), pp. 583-620. [EuDML: 174630] [MR: 1269492] [Zbl: 0794.65082] [Google Scholar]
  13. I. DAUBECHIES, Orthonormal bases of compacity supported wavelets, Comm. Pure Appl. Math., 41 (1988), pp. 906-966. [MR: 951745] [Zbl: 0644.42026] [Google Scholar]
  14. C. DE BOOR, K. HÖLLING and S. RIEMENSCHNEIDER, Box Splines, vol. 98 of Applied Mathematical Sciences, Springer-Verlag, Berlin, 1993. [MR: 1243635] [Zbl: 0814.41012] [Google Scholar]
  15. P. DEUFLHARD and A. HOHMANN, Numerical Analysis : A First Course in Scientific Computation, de Gruyter Texbook, de Gruyter, Berlin, New York, 1994. [MR: 1325691] [Zbl: 0818.65002] [Google Scholar]
  16. G. J. FIX and G. STRANG, A Fourier analysis of the finite element method in Ritz-Galerkin theory, in Constructive Aspects of Functional Analysis, Rome, 1973, Edizioni Cremonese, pp. 265-273. [MR: 258297] [Zbl: 0179.22501] [Google Scholar]
  17. D. GILBARG and N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, vol. 224 of Grundlehren der mathematischen Wissenshaften, Springer Verlag, Berlin, 1983. [MR: 737190] [Zbl: 0562.35001] [Google Scholar]
  18. R. GLOWINSKI, Numerical Methods for Nonlinear Variational Problems, Springer Series in Computational Physics, Springer-Verlag, New York, 1984. [MR: 737005] [Zbl: 0536.65054] [Google Scholar]
  19. R. GLOWINSKI and T.-W. PAN, Error estimates for fictitious domain/penalty/finite element methods, Calcolo, 19 (1992), pp. 125-141. [MR: 1219625] [Zbl: 0770.65066] [Google Scholar]
  20. R. GLOWINSKI, T.-W. PAN, R. O. Jr. WELLS and X. ZHOU, Wavelet and finite element solutions for the Neumann problem using fictitious domains, J. Comp. Phys., 126 (1996), pp. 40-51. [MR: 1391621] [Zbl: 0852.65098] [Google Scholar]
  21. R. GLOWINSKI, A. RIEDER, R. O. Jr. WELLS and X. ZHOU, A wavelet multilevel method for Dirichlet boundary value problems in general domains, Modélisation Mathématique et Analyse Numérique (M2AN), 30 (1996), pp. 711-729. [MR: 1419935] [Zbl: 0860.65121] [Google Scholar]
  22. W. HACKBUSCH, Elliptic Differential Equations : Theory and Numerical Treatment, vol. 18 of Springer Series in Computational Mathematics, Springer Verlag, Heidelberg, 1992. [MR: 1197118] [Zbl: 0755.35021] [Google Scholar]
  23. W. HACKBUSCH, Iterative Solution of Large Sparse Systems of Equations, Applied Mathematical Sciences, Springer-Verlag, New York, 1994. [MR: 1247457] [Zbl: 0789.65017] [Google Scholar]
  24. R. H. W. HOPPE, Une méthode multigrille pour la solution des problèmes d'obstacle, Modélisation Mathématiques et Analyse Numérique (M2AN), 24 (1990), pp. 711-736. [EuDML: 193613] [MR: 1080716] [Zbl: 0716.65056] [Google Scholar]
  25. S. JAFFARD, Wavelet methods for fast resolution of elliptic problems, SIAM J. Numer. Anal., 29 (1992), pp. 965-986. [MR: 1173180] [Zbl: 0761.65083] [Google Scholar]
  26. A. KUNOTH, Computing refinable integrals documentation of the program, Manual Institut für Geometrie und Praktische Mathemtik, RWTH Aachen, 1995. [Google Scholar]
  27. Y. A. KUZNETSOV, S. A. FINOGENOV and A. V. SUPALOV, Fictitiuos domain methods for 3D elliptic problems: algorithms and software within a parallel environment, Arbeitspapiere der GMD 726, GMD, D-53754 St. Augustin, Germany, 1993. [Google Scholar]
  28. A. LATTO, H. L. RESNIKOFF and E. TENENBAUM, The evaluation of connection coefficients of compactly supported wavelets, in Proceedings of the USA-French Workshop on Wavelets and Turbulence, Princeton University, 1991. [Google Scholar]
  29. S. V. NEPOMNYASCHIKH, Mesh theorems of traces, normalization of function traces and their inversion, Sov. J. Numer. Anal. Math. Model., 6 (1991), pp. 223-242. [MR: 1126677] [Zbl: 0816.65097] [Google Scholar]
  30. S. V. NEPOMNYASCHIKH, Fictitious space method on unstructured grids, East-West J. Numer. Math., 3 (1995), pp. 71-79. [MR: 1331485] [Zbl: 0831.65116] [Google Scholar]
  31. J. A. NITSCHE, Ein Kriterium für die Quasi-Optimalität des Ritzschen Verfahrens, Numer. Math., 11 (1968), pp. 346-348. [EuDML: 131833] [MR: 233502] [Zbl: 0175.45801] [Google Scholar]
  32. J. A. NITSCHE and A. H. SCHATZ, Interior estimates for Ritz-Galerkin methods, Math. Comp., 28 (1974), pp. 937-958. [MR: 373325] [Zbl: 0298.65071] [Google Scholar]
  33. P. OSWALD, Multilevel Finite Element Approximation : Theory and Applications, Teubner Skripten zur Numerik, B. G. Teubner, Stuttgart, Germany, 1994. [MR: 1312165] [Zbl: 0830.65107] [Google Scholar]
  34. G. STRANG and G. J. FIX, An Analysis of the Finite Element method, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Englewood Cliffs, N. J., 1973. [MR: 443377] [Zbl: 0356.65096] [Google Scholar]
  35. R. O. Jr. WELLS and X. ZHOU, Wavelet-Galerkin solutions for the Dirichlet problem, Numer. Math., 70 (1995), pp. 379-396. [MR: 1330870] [Zbl: 0824.65108] [Google Scholar]
  36. J. WLOKA, Partial Differential Equations, Cambridge University Press, Cambridge, U.K., 1987. [MR: 895589] [Zbl: 0623.35006] [Google Scholar]
  37. J. XU, The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids, Computing, 56 (1996), pp. 215-235. [MR: 1393008] [Zbl: 0857.65129] [Google Scholar]

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