@article{M2AN_1998__32_4_405_0,
author = {Rieder, Andreas},
title = {A domain embedding method for {Dirichlet} problems in arbitrary space dimension},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {405--431},
year = {1998},
publisher = {Elsevier},
volume = {32},
number = {4},
mrnumber = {1636364},
zbl = {0913.65099},
language = {en},
url = {https://www.numdam.org/item/M2AN_1998__32_4_405_0/}
}
TY - JOUR AU - Rieder, Andreas TI - A domain embedding method for Dirichlet problems in arbitrary space dimension JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1998 SP - 405 EP - 431 VL - 32 IS - 4 PB - Elsevier UR - https://www.numdam.org/item/M2AN_1998__32_4_405_0/ LA - en ID - M2AN_1998__32_4_405_0 ER -
%0 Journal Article %A Rieder, Andreas %T A domain embedding method for Dirichlet problems in arbitrary space dimension %J ESAIM: Modélisation mathématique et analyse numérique %D 1998 %P 405-431 %V 32 %N 4 %I Elsevier %U https://www.numdam.org/item/M2AN_1998__32_4_405_0/ %G en %F M2AN_1998__32_4_405_0
Rieder, Andreas. A domain embedding method for Dirichlet problems in arbitrary space dimension. ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 4, pp. 405-431. https://www.numdam.org/item/M2AN_1998__32_4_405_0/
[1] , Interior estimates for the wavelet Galerkin method, Numer. Math. 78 (1997), pp. 1-20. | Zbl | MR
[2] and , On finite element domain imbedding methods, SIAM J. Numer. Anal., 27 (1990), pp. 963-978. | Zbl | MR
[3] , Finite-Elemente, Springer Lehrbuch, Springer-Verlag, Berlin, 1992. | Zbl
[4] and , New estimates for multilevel algorithms including the V-cycle, Math. Comp., 60 (1993), pp. 447-471. | Zbl | MR
[5] , and , Parallel multilevel preconditioners, Math. Comp., 55 (1990), pp. 1-22. | Zbl | MR
[6] , Multivariate Splines, vol. 54 of CBMS-NSF Series in Applied Mathematics, SIAM, Philadelphia, 1988. | Zbl | MR
[7] , A rapid-deployment force for CFD : Cartesian grids, Siam News (Newsjournal of the Society for Industrial and Applied Mathematics), 25 (1995).
[8] , and , Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), pp. 485-560. | Zbl | MR
[9] , and , Biorthogonal box spline wavelet bases, Bericht 122, Institut für Geometrie und Praktische Mathematik, RWTH Aachen, 1995.
[10] and , Multilevel preconditioning, Numer. Math., 63 (1992), pp. 315-344. | Zbl | MR
[11] and , Using the refinement equation for evaluating integrals of wavelets, SIAM J. Numer. Anal., 30 (1993), pp. 507-537. | Zbl | MR
[12] , and , Wavelet approximation methods for pseudodifferential equations I : Stability and convergence, Math. Z., 215 (1994), pp. 583-620. | Zbl | MR
[13] , Orthonormal bases of compacity supported wavelets, Comm. Pure Appl. Math., 41 (1988), pp. 906-966. | Zbl | MR
[14] , and , Box Splines, vol. 98 of Applied Mathematical Sciences, Springer-Verlag, Berlin, 1993. | Zbl | MR
[15] and , Numerical Analysis : A First Course in Scientific Computation, de Gruyter Texbook, de Gruyter, Berlin, New York, 1994. | Zbl | MR
[16] and , 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. | Zbl | MR
[17] and , Elliptic Partial Differential Equations of Second Order, vol. 224 of Grundlehren der mathematischen Wissenshaften, Springer Verlag, Berlin, 1983. | Zbl | MR
[18] , Numerical Methods for Nonlinear Variational Problems, Springer Series in Computational Physics, Springer-Verlag, New York, 1984. | Zbl | MR
[19] and , Error estimates for fictitious domain/penalty/finite element methods, Calcolo, 19 (1992), pp. 125-141. | Zbl | MR
[20] , , and , Wavelet and finite element solutions for the Neumann problem using fictitious domains, J. Comp. Phys., 126 (1996), pp. 40-51. | Zbl | MR
[21] , , and , A wavelet multilevel method for Dirichlet boundary value problems in general domains, Modélisation Mathématique et Analyse Numérique (M2AN), 30 (1996), pp. 711-729. | Zbl | MR | Numdam
[22] , Elliptic Differential Equations : Theory and Numerical Treatment, vol. 18 of Springer Series in Computational Mathematics, Springer Verlag, Heidelberg, 1992. | Zbl | MR
[23] , Iterative Solution of Large Sparse Systems of Equations, Applied Mathematical Sciences, Springer-Verlag, New York, 1994. | Zbl | MR
[24] , Une méthode multigrille pour la solution des problèmes d'obstacle, Modélisation Mathématiques et Analyse Numérique (M2AN), 24 (1990), pp. 711-736. | Zbl | MR | Numdam
[25] , Wavelet methods for fast resolution of elliptic problems, SIAM J. Numer. Anal., 29 (1992), pp. 965-986. | Zbl | MR
[26] , Computing refinable integrals documentation of the program, Manual Institut für Geometrie und Praktische Mathemtik, RWTH Aachen, 1995.
[27] , and , 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.
[28] , and , The evaluation of connection coefficients of compactly supported wavelets, in Proceedings of the USA-French Workshop on Wavelets and Turbulence, Princeton University, 1991.
[29] , Mesh theorems of traces, normalization of function traces and their inversion, Sov. J. Numer. Anal. Math. Model., 6 (1991), pp. 223-242. | Zbl | MR
[30] , Fictitious space method on unstructured grids, East-West J. Numer. Math., 3 (1995), pp. 71-79. | Zbl | MR
[31] , Ein Kriterium für die Quasi-Optimalität des Ritzschen Verfahrens, Numer. Math., 11 (1968), pp. 346-348. | Zbl | MR
[32] and , Interior estimates for Ritz-Galerkin methods, Math. Comp., 28 (1974), pp. 937-958. | Zbl | MR
[33] , Multilevel Finite Element Approximation : Theory and Applications, Teubner Skripten zur Numerik, B. G. Teubner, Stuttgart, Germany, 1994. | Zbl | MR
[34] and , An Analysis of the Finite Element method, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Englewood Cliffs, N. J., 1973. | Zbl | MR
[35] and , Wavelet-Galerkin solutions for the Dirichlet problem, Numer. Math., 70 (1995), pp. 379-396. | Zbl | MR
[36] , Partial Differential Equations, Cambridge University Press, Cambridge, U.K., 1987. | Zbl | MR
[37] , The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids, Computing, 56 (1996), pp. 215-235. | Zbl | MR





